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PyBullet env for DeepMimic (preliminary work-in-progress)
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examples/pybullet/gym/pybullet_envs/deep_mimic/env/humanoid_pose_interpolator.py
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249
examples/pybullet/gym/pybullet_envs/deep_mimic/env/humanoid_pose_interpolator.py
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from pybullet_envs.minitaur.envs import bullet_client
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import math
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class HumanoidPoseInterpolator(object):
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def __init__(self):
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pass
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def Reset(self):
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self._basePos = [0,0,0]
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self._baseLinVel = [0,0,0]
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self._baseOrn = [0,0,0,1]
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self._baseAngVel = [0,0,0]
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self._chestRot = [0,0,0,1]
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self._chestVel = [0,0,0]
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self._neckRot = [0,0,0,1]
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self._neckVel = [0,0,0]
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self._rightHipRot = [0,0,0,1]
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self._rightHipVel = [0,0,0]
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self._rightKneeRot = [0]
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self._rightKneeVel = [0]
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self._rightAnkleRot = [0,0,0,1]
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self._rightAnkleVel = [0,0,0]
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self._rightShoulderRot = [0,0,0,1]
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self._rightShoulderVel = [0,0,0]
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self._rightElbowRot = [0]
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self._rightElbowVel = [0]
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self._leftHipRot = [0,0,0,1]
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self._leftHipVel = [0,0,0]
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self._leftKneeRot = [0]
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self._leftKneeVel = [0]
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self._leftAnkleRot = [0,0,0,1]
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self._leftAnkleVel = [0,0,0]
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self._leftShoulderRot = [0,0,0,1]
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self._leftShoulderVel = [0,0,0]
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self._leftElbowRot = [0]
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self._leftElbowVel = [0]
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def ComputeLinVel(self,posStart, posEnd, deltaTime):
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vel = [(posEnd[0]-posStart[0])/deltaTime,(posEnd[1]-posStart[1])/deltaTime,(posEnd[2]-posStart[2])/deltaTime]
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return vel
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def ComputeAngVel(self,ornStart, ornEnd, deltaTime, bullet_client):
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dorn = bullet_client.getDifferenceQuaternion(ornStart,ornEnd)
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axis,angle = bullet_client.getAxisAngleFromQuaternion(dorn)
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angVel = [(axis[0]*angle)/deltaTime,(axis[1]*angle)/deltaTime,(axis[2]*angle)/deltaTime]
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return angVel
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def NormalizeVector(self, vec):
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length2 = orn[0]*orn[0]+orn[1]*orn[1]+orn[2]*orn[2]
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if (length2>0):
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length = math.sqrt(length2)
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def NormalizeQuaternion(self, orn):
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length2 = orn[0]*orn[0]+orn[1]*orn[1]+orn[2]*orn[2]+orn[3]*orn[3]
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if (length2>0):
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length = math.sqrt(length2)
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orn[0]/=length
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orn[1]/=length
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orn[2]/=length
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orn[3]/=length
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return orn
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#print("Normalize? length=",length)
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def PostProcessMotionData(self, frameData):
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baseOrn1Start = [frameData[5],frameData[6], frameData[7],frameData[4]]
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chestRotStart = [frameData[9],frameData[10],frameData[11],frameData[8]]
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neckRotStart = [frameData[13],frameData[14],frameData[15],frameData[12]]
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rightHipRotStart = [frameData[17],frameData[18],frameData[19],frameData[16]]
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rightAnkleRotStart = [frameData[22],frameData[23],frameData[24],frameData[21]]
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rightShoulderRotStart = [frameData[26],frameData[27],frameData[28],frameData[25]]
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leftHipRotStart = [frameData[31],frameData[32],frameData[33],frameData[30]]
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leftAnkleRotStart = [frameData[36],frameData[37],frameData[38],frameData[35]]
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leftShoulderRotStart = [frameData[40],frameData[41],frameData[42],frameData[39]]
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def GetPose(self):
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pose = [ self._basePos[0],self._basePos[1],self._basePos[2],
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self._baseOrn[0],self._baseOrn[1],self._baseOrn[2],self._baseOrn[3],
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self._chestRot[0],self._chestRot[1],self._chestRot[2],self._chestRot[3],
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self._neckRot[0],self._neckRot[1],self._neckRot[2],self._neckRot[3],
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self._rightHipRot[0],self._rightHipRot[1],self._rightHipRot[2],self._rightHipRot[3],
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self._rightKneeRot[0],
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self._rightAnkleRot[0],self._rightAnkleRot[1],self._rightAnkleRot[2],self._rightAnkleRot[3],
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self._rightShoulderRot[0],self._rightShoulderRot[1],self._rightShoulderRot[2],self._rightShoulderRot[3],
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self._rightElbowRot[0],
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self._leftHipRot[0],self._leftHipRot[1],self._leftHipRot[2],self._leftHipRot[3],
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self._leftKneeRot[0],
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self._leftAnkleRot[0],self._leftAnkleRot[1],self._leftAnkleRot[2],self._leftAnkleRot[3],
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self._leftShoulderRot[0],self._leftShoulderRot[1],self._leftShoulderRot[2],self._leftShoulderRot[3],
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self._leftElbowRot[0] ]
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return pose
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def Slerp(self, frameFraction, frameData, frameDataNext,bullet_client ):
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keyFrameDuration = frameData[0]
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basePos1Start = [frameData[1],frameData[2],frameData[3]]
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basePos1End = [frameDataNext[1],frameDataNext[2],frameDataNext[3]]
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self._basePos = [basePos1Start[0]+frameFraction*(basePos1End[0]-basePos1Start[0]),
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basePos1Start[1]+frameFraction*(basePos1End[1]-basePos1Start[1]),
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basePos1Start[2]+frameFraction*(basePos1End[2]-basePos1Start[2])]
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self._baseLinVel = self.ComputeLinVel(basePos1Start,basePos1End, keyFrameDuration)
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baseOrn1Start = [frameData[5],frameData[6], frameData[7],frameData[4]]
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baseOrn1Next = [frameDataNext[5],frameDataNext[6], frameDataNext[7],frameDataNext[4]]
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self._baseOrn = bullet_client.getQuaternionSlerp(baseOrn1Start,baseOrn1Next,frameFraction)
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self._baseAngVel = self.ComputeAngVel(baseOrn1Start,baseOrn1Next, keyFrameDuration, bullet_client)
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##pre-rotate to make z-up
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#y2zPos=[0,0,0.0]
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#y2zOrn = p.getQuaternionFromEuler([1.57,0,0])
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#basePos,baseOrn = p.multiplyTransforms(y2zPos, y2zOrn,basePos1,baseOrn1)
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chestRotStart = [frameData[9],frameData[10],frameData[11],frameData[8]]
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chestRotEnd = [frameDataNext[9],frameDataNext[10],frameDataNext[11],frameDataNext[8]]
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self._chestRot = bullet_client.getQuaternionSlerp(chestRotStart,chestRotEnd,frameFraction)
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self._chestVel = self.ComputeAngVel(chestRotStart,chestRotEnd,keyFrameDuration,bullet_client)
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neckRotStart = [frameData[13],frameData[14],frameData[15],frameData[12]]
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neckRotEnd= [frameDataNext[13],frameDataNext[14],frameDataNext[15],frameDataNext[12]]
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self._neckRot = bullet_client.getQuaternionSlerp(neckRotStart,neckRotEnd,frameFraction)
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self._neckVel = self.ComputeAngVel(neckRotStart,neckRotEnd,keyFrameDuration,bullet_client)
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rightHipRotStart = [frameData[17],frameData[18],frameData[19],frameData[16]]
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rightHipRotEnd = [frameDataNext[17],frameDataNext[18],frameDataNext[19],frameDataNext[16]]
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self._rightHipRot = bullet_client.getQuaternionSlerp(rightHipRotStart,rightHipRotEnd,frameFraction)
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self._rightHipVel = self.ComputeAngVel(rightHipRotStart,rightHipRotEnd,keyFrameDuration,bullet_client)
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rightKneeRotStart = [frameData[20]]
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rightKneeRotEnd = [frameDataNext[20]]
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self._rightKneeRot = [rightKneeRotStart[0]+frameFraction*(rightKneeRotEnd[0]-rightKneeRotStart[0])]
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self._rightKneeVel = [(rightKneeRotEnd[0]-rightKneeRotStart[0])/keyFrameDuration]
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rightAnkleRotStart = [frameData[22],frameData[23],frameData[24],frameData[21]]
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rightAnkleRotEnd = [frameDataNext[22],frameDataNext[23],frameDataNext[24],frameDataNext[21]]
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self._rightAnkleRot = bullet_client.getQuaternionSlerp(rightAnkleRotStart,rightAnkleRotEnd,frameFraction)
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self._rightAnkleVel = self.ComputeAngVel(rightAnkleRotStart,rightAnkleRotEnd,keyFrameDuration,bullet_client)
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rightShoulderRotStart = [frameData[26],frameData[27],frameData[28],frameData[25]]
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rightShoulderRotEnd = [frameDataNext[26],frameDataNext[27],frameDataNext[28],frameDataNext[25]]
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self._rightShoulderRot = bullet_client.getQuaternionSlerp(rightShoulderRotStart,rightShoulderRotEnd,frameFraction)
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self._rightShoulderVel = self.ComputeAngVel(rightShoulderRotStart,rightShoulderRotEnd, keyFrameDuration,bullet_client)
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rightElbowRotStart = [frameData[29]]
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rightElbowRotEnd = [frameDataNext[29]]
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self._rightElbowRot = [rightElbowRotStart[0]+frameFraction*(rightElbowRotEnd[0]-rightElbowRotStart[0])]
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self._rightElbowVel = [(rightElbowRotEnd[0]-rightElbowRotStart[0])/keyFrameDuration]
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leftHipRotStart = [frameData[31],frameData[32],frameData[33],frameData[30]]
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leftHipRotEnd = [frameDataNext[31],frameDataNext[32],frameDataNext[33],frameDataNext[30]]
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self._leftHipRot = bullet_client.getQuaternionSlerp(leftHipRotStart,leftHipRotEnd,frameFraction)
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self._leftHipVel = self.ComputeAngVel(leftHipRotStart, leftHipRotEnd,keyFrameDuration,bullet_client)
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leftKneeRotStart = [frameData[34]]
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leftKneeRotEnd = [frameDataNext[34]]
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self._leftKneeRot = [leftKneeRotStart[0] +frameFraction*(leftKneeRotEnd[0]-leftKneeRotStart[0]) ]
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self._leftKneeVel = [(leftKneeRotEnd[0]-leftKneeRotStart[0])/keyFrameDuration]
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leftAnkleRotStart = [frameData[36],frameData[37],frameData[38],frameData[35]]
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leftAnkleRotEnd = [frameDataNext[36],frameDataNext[37],frameDataNext[38],frameDataNext[35]]
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self._leftAnkleRot = bullet_client.getQuaternionSlerp(leftAnkleRotStart,leftAnkleRotEnd,frameFraction)
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self._leftAnkleVel = self.ComputeAngVel(leftAnkleRotStart,leftAnkleRotEnd,keyFrameDuration,bullet_client)
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leftShoulderRotStart = [frameData[40],frameData[41],frameData[42],frameData[39]]
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leftShoulderRotEnd = [frameDataNext[40],frameDataNext[41],frameDataNext[42],frameDataNext[39]]
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self._leftShoulderRot = bullet_client.getQuaternionSlerp(leftShoulderRotStart,leftShoulderRotEnd,frameFraction)
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self._leftShoulderVel = self.ComputeAngVel(leftShoulderRotStart,leftShoulderRotEnd,keyFrameDuration,bullet_client)
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leftElbowRotStart = [frameData[43]]
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leftElbowRotEnd = [frameDataNext[43]]
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self._leftElbowRot = [leftElbowRotStart[0]+frameFraction*(leftElbowRotEnd[0]-leftElbowRotStart[0])]
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self._leftElbowVel = [(leftElbowRotEnd[0]-leftElbowRotStart[0])/keyFrameDuration]
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pose = self.GetPose()
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return pose
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def ConvertFromAction(self, pybullet_client, action):
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#turn action into pose
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self.Reset()#?? needed?
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index=0
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._chestRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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#print("pose._chestRot=",pose._chestRot)
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._neckRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._rightHipRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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index+=1
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self._rightKneeRot = [angle]
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._rightAnkleRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._rightShoulderRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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index+=1
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self._rightElbowRot = [angle]
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._leftHipRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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index+=1
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self._leftKneeRot = [angle]
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._leftAnkleRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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axis = [action[index+1],action[index+2],action[index+3]]
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index+=4
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self._leftShoulderRot = pybullet_client.getQuaternionFromAxisAngle(axis,angle)
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angle = action[index]
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index+=1
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self._leftElbowRot = [angle]
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pose = self.GetPose()
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return pose
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examples/pybullet/gym/pybullet_envs/deep_mimic/env/humanoid_stable_pd.py
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examples/pybullet/gym/pybullet_envs/deep_mimic/env/humanoid_stable_pd.py
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from pybullet_envs.deep_mimic.env import pd_controller_stable
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from pybullet_envs.deep_mimic.env import humanoid_pose_interpolator
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import math
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chest=1
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neck=2
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rightHip=3
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rightKnee=4
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rightAnkle=5
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rightShoulder=6
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rightElbow=7
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leftHip=9
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leftKnee=10
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leftAnkle=11
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leftShoulder=12
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leftElbow=13
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jointFrictionForce = 0
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class HumanoidStablePD(object):
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def __init__(self, pybullet_client, mocap_data, timeStep, useFixedBase=True):
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self._pybullet_client = pybullet_client
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self._mocap_data = mocap_data
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print("LOADING humanoid!")
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self._sim_model = self._pybullet_client.loadURDF(
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"humanoid/humanoid.urdf", [0,0.85,0],globalScaling=0.25, useFixedBase=useFixedBase, flags=self._pybullet_client.URDF_MAINTAIN_LINK_ORDER)
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self._kin_model = self._pybullet_client.loadURDF(
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"humanoid/humanoid.urdf", [0,2.85,0],globalScaling=0.25, useFixedBase=True, flags=self._pybullet_client.URDF_MAINTAIN_LINK_ORDER)
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self._pybullet_client.changeDynamics(self._sim_model, -1, lateralFriction=0.9)
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for j in range (self._pybullet_client.getNumJoints(self._sim_model)):
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self._pybullet_client.changeDynamics(self._sim_model, j, lateralFriction=0.9)
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self._pybullet_client.changeDynamics(self._sim_model, -1, linearDamping=0, angularDamping=0)
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self._pybullet_client.changeDynamics(self._kin_model, -1, linearDamping=0, angularDamping=0)
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self._poseInterpolator = humanoid_pose_interpolator.HumanoidPoseInterpolator()
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for i in range (self._mocap_data.NumFrames()-1):
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frameData = self._mocap_data._motion_data['Frames'][i]
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self._poseInterpolator.PostProcessMotionData(frameData)
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self._stablePD = pd_controller_stable.PDControllerStableMultiDof(self._pybullet_client)
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self._timeStep = timeStep
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self._kpOrg = [0,0,0,0,0,0,0,1000,1000,1000,1000,100,100,100,100,500,500,500,500,500,400,400,400,400,400,400,400,400,300,500,500,500,500,500,400,400,400,400,400,400,400,400,300]
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self._kdOrg = [0,0,0,0,0,0,0,100,100,100,100,10,10,10,10,50,50,50,50,50,40,40,40,40,40,40,40,40,30,50,50,50,50,50,40,40,40,40,40,40,40,40,30]
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self._jointIndicesAll = [chest,neck, rightHip,rightKnee,rightAnkle,rightShoulder,rightElbow,leftHip,leftKnee,leftAnkle,leftShoulder,leftElbow]
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for j in self._jointIndicesAll:
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#self._pybullet_client.setJointMotorControlMultiDof(self._sim_model, j, self._pybullet_client.POSITION_CONTROL, force=[1,1,1])
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self._pybullet_client.setJointMotorControl2(self._sim_model, j, self._pybullet_client.POSITION_CONTROL, targetPosition=0, positionGain=0, targetVelocity=0,force=jointFrictionForce)
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self._pybullet_client.setJointMotorControlMultiDof(self._sim_model, j, self._pybullet_client.POSITION_CONTROL,targetPosition=[0,0,0,1], targetVelocity=[0,0,0], positionGain=0,velocityGain=1,force=[jointFrictionForce,jointFrictionForce,jointFrictionForce])
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self._pybullet_client.setJointMotorControl2(self._kin_model, j, self._pybullet_client.POSITION_CONTROL, targetPosition=0, positionGain=0, targetVelocity=0,force=0)
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self._pybullet_client.setJointMotorControlMultiDof(self._kin_model, j, self._pybullet_client.POSITION_CONTROL,targetPosition=[0,0,0,1], targetVelocity=[0,0,0], positionGain=0,velocityGain=1,force=[jointFrictionForce,jointFrictionForce,0])
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self._jointDofCounts=[4,4,4,1,4,4,1,4,1,4,4,1]
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#only those body parts/links are allowed to touch the ground, otherwise the episode terminates
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self._allowed_body_parts=[5,11]
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#[x,y,z] base position and [x,y,z,w] base orientation!
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self._totalDofs = 7
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for dof in self._jointDofCounts:
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self._totalDofs += dof
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self.setSimTime(0)
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self._maxForce = 6000
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self.resetPose()
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def resetPose(self):
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print("resetPose with self._frameFraction=",self._frameFraction)
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pose = self.computePose(self._frameFraction)
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self.initializePose(self._poseInterpolator, self._sim_model, initBase=True)
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self.initializePose(self._poseInterpolator, self._kin_model, initBase=False)
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def initializePose(self, pose, phys_model,initBase, initializeVelocity = True):
|
||||
|
||||
if initializeVelocity:
|
||||
if initBase:
|
||||
self._pybullet_client.resetBasePositionAndOrientation(phys_model, pose._basePos, pose._baseOrn)
|
||||
self._pybullet_client.resetBaseVelocity(phys_model, pose._baseLinVel, pose._baseAngVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,chest,pose._chestRot, pose._chestVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,neck,pose._neckRot, pose._neckVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightHip,pose._rightHipRot, pose._rightHipVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightKnee,pose._rightKneeRot, pose._rightKneeVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightAnkle,pose._rightAnkleRot, pose._rightAnkleVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightShoulder,pose._rightShoulderRot, pose._rightShoulderVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightElbow, pose._rightElbowRot, pose._rightElbowVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftHip, pose._leftHipRot, pose._leftHipVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftKnee, pose._leftKneeRot, pose._leftKneeVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftAnkle, pose._leftAnkleRot, pose._leftAnkleVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftShoulder, pose._leftShoulderRot, pose._leftShoulderVel)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftElbow, pose._leftElbowRot, pose._leftElbowVel)
|
||||
else:
|
||||
if initBase:
|
||||
self._pybullet_client.resetBasePositionAndOrientation(phys_model, pose._basePos, pose._baseOrn)
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,chest,pose._chestRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,neck,pose._neckRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightHip,pose._rightHipRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightKnee,pose._rightKneeRot, [0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightAnkle,pose._rightAnkleRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightShoulder,pose._rightShoulderRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,rightElbow, pose._rightElbowRot, [0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftHip, pose._leftHipRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftKnee, pose._leftKneeRot, [0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftAnkle, pose._leftAnkleRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftShoulder, pose._leftShoulderRot, [0,0,0])
|
||||
self._pybullet_client.resetJointStateMultiDof(phys_model,leftElbow, pose._leftElbowRot, [0])
|
||||
|
||||
def calcCycleCount(self, simTime, cycleTime):
|
||||
phases = simTime / cycleTime;
|
||||
count = math.floor(phases)
|
||||
loop = True
|
||||
#count = (loop) ? count : cMathUtil::Clamp(count, 0, 1);
|
||||
return count
|
||||
|
||||
|
||||
def getCycleTime(self):
|
||||
keyFrameDuration = self._mocap_data.KeyFrameDuraction()
|
||||
cycleTime = keyFrameDuration*(self._mocap_data.NumFrames()-1)
|
||||
return cycleTime
|
||||
|
||||
def setSimTime(self, t):
|
||||
self._simTime = t
|
||||
#print("SetTimeTime time =",t)
|
||||
keyFrameDuration = self._mocap_data.KeyFrameDuraction()
|
||||
cycleTime = self.getCycleTime()
|
||||
#print("self._motion_data.NumFrames()=",self._mocap_data.NumFrames())
|
||||
#print("cycleTime=",cycleTime)
|
||||
cycles = self.calcCycleCount(t, cycleTime)
|
||||
#print("cycles=",cycles)
|
||||
frameTime = t - cycles*cycleTime
|
||||
if (frameTime<0):
|
||||
frameTime += cycleTime
|
||||
|
||||
#print("keyFrameDuration=",keyFrameDuration)
|
||||
#print("frameTime=",frameTime)
|
||||
self._frame = int(frameTime/keyFrameDuration)
|
||||
#print("self._frame=",self._frame)
|
||||
|
||||
self._frameNext = self._frame+1
|
||||
if (self._frameNext >= self._mocap_data.NumFrames()):
|
||||
self._frameNext = self._frame
|
||||
|
||||
self._frameFraction = (frameTime - self._frame*keyFrameDuration)/(keyFrameDuration)
|
||||
|
||||
def computePose(self, frameFraction):
|
||||
frameData = self._mocap_data._motion_data['Frames'][self._frame]
|
||||
frameDataNext = self._mocap_data._motion_data['Frames'][self._frameNext]
|
||||
pose = self._poseInterpolator.Slerp(frameFraction, frameData, frameDataNext, self._pybullet_client)
|
||||
return pose
|
||||
|
||||
|
||||
def convertActionToPose(self, action):
|
||||
pose = self._poseInterpolator.ConvertFromAction(self._pybullet_client, action)
|
||||
return pose
|
||||
|
||||
def computePDForces(self, desiredPositions, desiredVelocities = None):
|
||||
if desiredVelocities==None:
|
||||
desiredVelocities = [0]*self._totalDofs
|
||||
taus = self._stablePD.computePD(bodyUniqueId=self._sim_model,
|
||||
jointIndices = self._jointIndicesAll,
|
||||
desiredPositions = desiredPositions,
|
||||
desiredVelocities = desiredVelocities,
|
||||
kps = self._kpOrg,
|
||||
kds = self._kdOrg,
|
||||
maxForces = [self._maxForce]*self._totalDofs,
|
||||
timeStep=self._timeStep)
|
||||
return taus
|
||||
|
||||
def applyPDForces(self, taus):
|
||||
dofIndex=7
|
||||
for index in range (len(self._jointIndicesAll)):
|
||||
jointIndex = self._jointIndicesAll[index]
|
||||
if self._jointDofCounts[index]==4:
|
||||
self._pybullet_client.setJointMotorControlMultiDof(self._sim_model,jointIndex,self._pybullet_client.TORQUE_CONTROL,force=[taus[dofIndex+0],taus[dofIndex+1],taus[dofIndex+2]])
|
||||
if self._jointDofCounts[index]==1:
|
||||
self._pybullet_client.setJointMotorControlMultiDof(self._sim_model, jointIndex, controlMode=self._pybullet_client.TORQUE_CONTROL, force=[taus[dofIndex]])
|
||||
dofIndex+=self._jointDofCounts[index]
|
||||
|
||||
|
||||
|
||||
def getPhase(self):
|
||||
keyFrameDuration = self._mocap_data.KeyFrameDuraction()
|
||||
cycleTime = keyFrameDuration*(self._mocap_data.NumFrames()-1)
|
||||
phase = self._simTime / cycleTime
|
||||
phase = math.fmod(phase,1.0)
|
||||
if (phase<0):
|
||||
phase += 1
|
||||
return phase
|
||||
|
||||
def buildHeadingTrans(self, rootOrn):
|
||||
#align root transform 'forward' with world-space x axis
|
||||
eul = self._pybullet_client.getEulerFromQuaternion(rootOrn)
|
||||
refDir = [1,0,0]
|
||||
rotVec = self._pybullet_client.rotateVector(rootOrn, refDir)
|
||||
heading = math.atan2(-rotVec[2], rotVec[0])
|
||||
heading2=eul[1]
|
||||
#print("heading=",heading)
|
||||
headingOrn = self._pybullet_client.getQuaternionFromAxisAngle([0,1,0],-heading)
|
||||
return headingOrn
|
||||
|
||||
|
||||
def buildOriginTrans(self):
|
||||
rootPos,rootOrn = self._pybullet_client.getBasePositionAndOrientation(self._sim_model)
|
||||
|
||||
#print("rootPos=",rootPos, " rootOrn=",rootOrn)
|
||||
invRootPos=[-rootPos[0], 0, -rootPos[2]]
|
||||
#invOrigTransPos, invOrigTransOrn = self._pybullet_client.invertTransform(rootPos,rootOrn)
|
||||
headingOrn = self.buildHeadingTrans(rootOrn)
|
||||
#print("headingOrn=",headingOrn)
|
||||
headingMat = self._pybullet_client.getMatrixFromQuaternion(headingOrn)
|
||||
#print("headingMat=",headingMat)
|
||||
#dummy, rootOrnWithoutHeading = self._pybullet_client.multiplyTransforms([0,0,0],headingOrn, [0,0,0], rootOrn)
|
||||
#dummy, invOrigTransOrn = self._pybullet_client.multiplyTransforms([0,0,0],rootOrnWithoutHeading, invOrigTransPos, invOrigTransOrn)
|
||||
|
||||
invOrigTransPos, invOrigTransOrn = self._pybullet_client.multiplyTransforms( [0,0,0],headingOrn, invRootPos,[0,0,0,1])
|
||||
#print("invOrigTransPos=",invOrigTransPos)
|
||||
#print("invOrigTransOrn=",invOrigTransOrn)
|
||||
invOrigTransMat = self._pybullet_client.getMatrixFromQuaternion(invOrigTransOrn)
|
||||
#print("invOrigTransMat =",invOrigTransMat )
|
||||
return invOrigTransPos, invOrigTransOrn
|
||||
|
||||
def getState(self):
|
||||
|
||||
stateVector = []
|
||||
phase = self.getPhase()
|
||||
#print("phase=",phase)
|
||||
stateVector.append(phase)
|
||||
|
||||
rootTransPos, rootTransOrn=self.buildOriginTrans()
|
||||
basePos,baseOrn = self._pybullet_client.getBasePositionAndOrientation(self._sim_model)
|
||||
|
||||
rootPosRel, dummy = self._pybullet_client.multiplyTransforms(rootTransPos, rootTransOrn, basePos,[0,0,0,1])
|
||||
#print("!!!rootPosRel =",rootPosRel )
|
||||
#print("rootTransPos=",rootTransPos)
|
||||
#print("basePos=",basePos)
|
||||
localPos,localOrn = self._pybullet_client.multiplyTransforms( rootTransPos, rootTransOrn , basePos,baseOrn )
|
||||
|
||||
localPos=[localPos[0]-rootPosRel[0],localPos[1]-rootPosRel[1],localPos[2]-rootPosRel[2]]
|
||||
#print("localPos=",localPos)
|
||||
|
||||
stateVector.append(rootPosRel[1])
|
||||
|
||||
#self.pb2dmJoints=[0,1,2,9,10,11,3,4,5,12,13,14,6,7,8]
|
||||
self.pb2dmJoints=[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14]
|
||||
|
||||
for pbJoint in range (self._pybullet_client.getNumJoints(self._sim_model)):
|
||||
j = self.pb2dmJoints[pbJoint]
|
||||
#print("joint order:",j)
|
||||
ls = self._pybullet_client.getLinkState(self._sim_model, j, computeForwardKinematics=True)
|
||||
linkPos = ls[0]
|
||||
linkOrn = ls[1]
|
||||
linkPosLocal, linkOrnLocal = self._pybullet_client.multiplyTransforms(rootTransPos, rootTransOrn, linkPos,linkOrn)
|
||||
if (linkOrnLocal[3]<0):
|
||||
linkOrnLocal=[-linkOrnLocal[0],-linkOrnLocal[1],-linkOrnLocal[2],-linkOrnLocal[3]]
|
||||
linkPosLocal=[linkPosLocal[0]-rootPosRel[0],linkPosLocal[1]-rootPosRel[1],linkPosLocal[2]-rootPosRel[2]]
|
||||
for l in linkPosLocal:
|
||||
stateVector.append(l)
|
||||
#re-order the quaternion, DeepMimic uses w,x,y,z
|
||||
stateVector.append(linkOrnLocal[3])
|
||||
stateVector.append(linkOrnLocal[0])
|
||||
stateVector.append(linkOrnLocal[1])
|
||||
stateVector.append(linkOrnLocal[2])
|
||||
|
||||
|
||||
for pbJoint in range (self._pybullet_client.getNumJoints(self._sim_model)):
|
||||
j = self.pb2dmJoints[pbJoint]
|
||||
ls = self._pybullet_client.getLinkState(self._sim_model, j, computeLinkVelocity=True)
|
||||
linkLinVel = ls[6]
|
||||
linkAngVel = ls[7]
|
||||
for l in linkLinVel:
|
||||
stateVector.append(l)
|
||||
for l in linkAngVel:
|
||||
stateVector.append(l)
|
||||
|
||||
#print("stateVector len=",len(stateVector))
|
||||
#for st in range (len(stateVector)):
|
||||
# print("state[",st,"]=",stateVector[st])
|
||||
return stateVector
|
||||
|
||||
def terminates(self):
|
||||
#check if any non-allowed body part hits the ground
|
||||
terminates=False
|
||||
pts = self._pybullet_client.getContactPoints()
|
||||
for p in pts:
|
||||
part = -1
|
||||
if (p[1]==self._sim_model):
|
||||
part=p[3]
|
||||
if (p[2]==self._sim_model):
|
||||
part=p[4]
|
||||
if (part >=0 and part not in self._allowed_body_parts):
|
||||
#print("terminating part:", part)
|
||||
terminates=True
|
||||
|
||||
return terminates
|
||||
|
||||
def getReward(self, pose):
|
||||
#from DeepMimic double cSceneImitate::CalcRewardImitate
|
||||
pose_w = 0.5
|
||||
vel_w = 0.05
|
||||
end_eff_w = 0 #0.15
|
||||
root_w = 0#0.2
|
||||
com_w = 0#0.1
|
||||
|
||||
total_w = pose_w + vel_w + end_eff_w + root_w + com_w
|
||||
pose_w /= total_w
|
||||
vel_w /= total_w
|
||||
end_eff_w /= total_w
|
||||
root_w /= total_w
|
||||
com_w /= total_w
|
||||
|
||||
pose_scale = 2
|
||||
vel_scale = 0.1
|
||||
end_eff_scale = 40
|
||||
root_scale = 5
|
||||
com_scale = 10
|
||||
err_scale = 1
|
||||
|
||||
reward = 0
|
||||
|
||||
pose_err = 0
|
||||
vel_err = 0
|
||||
end_eff_err = 0
|
||||
root_err = 0
|
||||
com_err = 0
|
||||
heading_err = 0
|
||||
|
||||
#create a mimic reward, comparing the dynamics humanoid with a kinematic one
|
||||
|
||||
#pose = self.InitializePoseFromMotionData()
|
||||
#print("self._kin_model=",self._kin_model)
|
||||
#print("kinematicHumanoid #joints=",self._pybullet_client.getNumJoints(self._kin_model))
|
||||
#self.ApplyPose(pose, True, True, self._kin_model, self._pybullet_client)
|
||||
|
||||
#const Eigen::VectorXd& pose0 = sim_char.GetPose();
|
||||
#const Eigen::VectorXd& vel0 = sim_char.GetVel();
|
||||
#const Eigen::VectorXd& pose1 = kin_char.GetPose();
|
||||
#const Eigen::VectorXd& vel1 = kin_char.GetVel();
|
||||
#tMatrix origin_trans = sim_char.BuildOriginTrans();
|
||||
#tMatrix kin_origin_trans = kin_char.BuildOriginTrans();
|
||||
#
|
||||
#tVector com0_world = sim_char.CalcCOM();
|
||||
#tVector com_vel0_world = sim_char.CalcCOMVel();
|
||||
#tVector com1_world;
|
||||
#tVector com_vel1_world;
|
||||
#cRBDUtil::CalcCoM(joint_mat, body_defs, pose1, vel1, com1_world, com_vel1_world);
|
||||
#
|
||||
root_id = 0
|
||||
#tVector root_pos0 = cKinTree::GetRootPos(joint_mat, pose0);
|
||||
#tVector root_pos1 = cKinTree::GetRootPos(joint_mat, pose1);
|
||||
#tQuaternion root_rot0 = cKinTree::GetRootRot(joint_mat, pose0);
|
||||
#tQuaternion root_rot1 = cKinTree::GetRootRot(joint_mat, pose1);
|
||||
#tVector root_vel0 = cKinTree::GetRootVel(joint_mat, vel0);
|
||||
#tVector root_vel1 = cKinTree::GetRootVel(joint_mat, vel1);
|
||||
#tVector root_ang_vel0 = cKinTree::GetRootAngVel(joint_mat, vel0);
|
||||
#tVector root_ang_vel1 = cKinTree::GetRootAngVel(joint_mat, vel1);
|
||||
|
||||
mJointWeights = [0.20833,0.10416, 0.0625, 0.10416,
|
||||
0.0625, 0.041666666666666671, 0.0625, 0.0416,
|
||||
0.00, 0.10416, 0.0625, 0.0416, 0.0625, 0.0416, 0.0000]
|
||||
|
||||
num_end_effs = 0
|
||||
num_joints = 15
|
||||
|
||||
root_rot_w = mJointWeights[root_id]
|
||||
#pose_err += root_rot_w * cKinTree::CalcRootRotErr(joint_mat, pose0, pose1)
|
||||
#vel_err += root_rot_w * cKinTree::CalcRootAngVelErr(joint_mat, vel0, vel1)
|
||||
|
||||
for j in range (num_joints):
|
||||
curr_pose_err = 0
|
||||
curr_vel_err = 0
|
||||
w = mJointWeights[j];
|
||||
|
||||
simJointInfo = self._pybullet_client.getJointStateMultiDof(self._sim_model, j)
|
||||
|
||||
#print("simJointInfo.pos=",simJointInfo[0])
|
||||
#print("simJointInfo.vel=",simJointInfo[1])
|
||||
kinJointInfo = self._pybullet_client.getJointStateMultiDof(self._kin_model,j)
|
||||
#print("kinJointInfo.pos=",kinJointInfo[0])
|
||||
#print("kinJointInfo.vel=",kinJointInfo[1])
|
||||
if (len(simJointInfo[0])==1):
|
||||
angle = simJointInfo[0][0]-kinJointInfo[0][0]
|
||||
curr_pose_err = angle*angle
|
||||
velDiff = simJointInfo[1][0]-kinJointInfo[1][0]
|
||||
curr_vel_err = velDiff*velDiff
|
||||
if (len(simJointInfo[0])==4):
|
||||
#print("quaternion diff")
|
||||
diffQuat = self._pybullet_client.getDifferenceQuaternion(simJointInfo[0],kinJointInfo[0])
|
||||
axis,angle = self._pybullet_client.getAxisAngleFromQuaternion(diffQuat)
|
||||
curr_pose_err = angle*angle
|
||||
diffVel = [simJointInfo[1][0]-kinJointInfo[1][0],simJointInfo[1][1]-kinJointInfo[1][1],simJointInfo[1][2]-kinJointInfo[1][2]]
|
||||
curr_vel_err = diffVel[0]*diffVel[0]+diffVel[1]*diffVel[1]+diffVel[2]*diffVel[2]
|
||||
|
||||
|
||||
pose_err += w * curr_pose_err
|
||||
vel_err += w * curr_vel_err
|
||||
|
||||
# bool is_end_eff = sim_char.IsEndEffector(j)
|
||||
# if (is_end_eff)
|
||||
# {
|
||||
# tVector pos0 = sim_char.CalcJointPos(j)
|
||||
# tVector pos1 = cKinTree::CalcJointWorldPos(joint_mat, pose1, j)
|
||||
# double ground_h0 = mGround->SampleHeight(pos0)
|
||||
# double ground_h1 = kin_char.GetOriginPos()[1]
|
||||
#
|
||||
# tVector pos_rel0 = pos0 - root_pos0
|
||||
# tVector pos_rel1 = pos1 - root_pos1
|
||||
# pos_rel0[1] = pos0[1] - ground_h0
|
||||
# pos_rel1[1] = pos1[1] - ground_h1
|
||||
#
|
||||
# pos_rel0 = origin_trans * pos_rel0
|
||||
# pos_rel1 = kin_origin_trans * pos_rel1
|
||||
#
|
||||
# curr_end_err = (pos_rel1 - pos_rel0).squaredNorm()
|
||||
# end_eff_err += curr_end_err;
|
||||
# ++num_end_effs;
|
||||
# }
|
||||
#}
|
||||
#if (num_end_effs > 0):
|
||||
# end_eff_err /= num_end_effs
|
||||
#
|
||||
#double root_ground_h0 = mGround->SampleHeight(sim_char.GetRootPos())
|
||||
#double root_ground_h1 = kin_char.GetOriginPos()[1]
|
||||
#root_pos0[1] -= root_ground_h0
|
||||
#root_pos1[1] -= root_ground_h1
|
||||
#root_pos_err = (root_pos0 - root_pos1).squaredNorm()
|
||||
#
|
||||
#root_rot_err = cMathUtil::QuatDiffTheta(root_rot0, root_rot1)
|
||||
#root_rot_err *= root_rot_err
|
||||
|
||||
#root_vel_err = (root_vel1 - root_vel0).squaredNorm()
|
||||
#root_ang_vel_err = (root_ang_vel1 - root_ang_vel0).squaredNorm()
|
||||
|
||||
#root_err = root_pos_err
|
||||
# + 0.1 * root_rot_err
|
||||
# + 0.01 * root_vel_err
|
||||
# + 0.001 * root_ang_vel_err
|
||||
#com_err = 0.1 * (com_vel1_world - com_vel0_world).squaredNorm()
|
||||
|
||||
#print("pose_err=",pose_err)
|
||||
#print("vel_err=",vel_err)
|
||||
pose_reward = math.exp(-err_scale * pose_scale * pose_err)
|
||||
vel_reward = math.exp(-err_scale * vel_scale * vel_err)
|
||||
end_eff_reward = math.exp(-err_scale * end_eff_scale * end_eff_err)
|
||||
root_reward = math.exp(-err_scale * root_scale * root_err)
|
||||
com_reward = math.exp(-err_scale * com_scale * com_err)
|
||||
|
||||
reward = pose_w * pose_reward + vel_w * vel_reward + end_eff_w * end_eff_reward + root_w * root_reward + com_w * com_reward
|
||||
|
||||
#print("reward = %f (pose_reward=%f, vel_reward=%f, end_eff_reward=%f, root_reward=%f, com_reward=%f)\n", reward,
|
||||
# pose_reward,vel_reward,end_eff_reward, root_reward, com_reward);
|
||||
|
||||
return reward
|
19
examples/pybullet/gym/pybullet_envs/deep_mimic/env/motion_capture_data.py
vendored
Normal file
19
examples/pybullet/gym/pybullet_envs/deep_mimic/env/motion_capture_data.py
vendored
Normal file
@ -0,0 +1,19 @@
|
||||
import json
|
||||
|
||||
class MotionCaptureData(object):
|
||||
def __init__(self):
|
||||
self.Reset()
|
||||
|
||||
def Reset(self):
|
||||
self._motion_data = []
|
||||
|
||||
def Load(self, path):
|
||||
with open(path, 'r') as f:
|
||||
self._motion_data = json.load(f)
|
||||
|
||||
def NumFrames(self):
|
||||
return len(self._motion_data['Frames'])
|
||||
|
||||
def KeyFrameDuraction(self):
|
||||
return self._motion_data['Frames'][0][0]
|
||||
|
144
examples/pybullet/gym/pybullet_envs/deep_mimic/env/pd_controller_stable.py
vendored
Normal file
144
examples/pybullet/gym/pybullet_envs/deep_mimic/env/pd_controller_stable.py
vendored
Normal file
@ -0,0 +1,144 @@
|
||||
import numpy as np
|
||||
|
||||
|
||||
|
||||
class PDControllerStableMultiDof(object):
|
||||
def __init__(self, pb):
|
||||
self._pb = pb
|
||||
|
||||
def computePD(self, bodyUniqueId, jointIndices, desiredPositions, desiredVelocities, kps, kds, maxForces, timeStep):
|
||||
|
||||
numJoints = len(jointIndices)#self._pb.getNumJoints(bodyUniqueId)
|
||||
curPos,curOrn = self._pb.getBasePositionAndOrientation(bodyUniqueId)
|
||||
#q1 = [desiredPositions[0],desiredPositions[1],desiredPositions[2],desiredPositions[3],desiredPositions[4],desiredPositions[5],desiredPositions[6]]
|
||||
q1 = [curPos[0],curPos[1],curPos[2],curOrn[0],curOrn[1],curOrn[2],curOrn[3]]
|
||||
|
||||
#qdot1 = [0,0,0, 0,0,0,0]
|
||||
baseLinVel, baseAngVel = self._pb.getBaseVelocity(bodyUniqueId)
|
||||
|
||||
qdot1 = [baseLinVel[0],baseLinVel[1],baseLinVel[2],baseAngVel[0],baseAngVel[1],baseAngVel[2],0]
|
||||
qError = [0,0,0, 0,0,0,0]
|
||||
|
||||
qIndex=7
|
||||
qdotIndex=7
|
||||
zeroAccelerations=[0,0,0, 0,0,0,0]
|
||||
for i in range (numJoints):
|
||||
js = self._pb.getJointStateMultiDof(bodyUniqueId, jointIndices[i])
|
||||
|
||||
jointPos=js[0]
|
||||
jointVel = js[1]
|
||||
q1+=jointPos
|
||||
|
||||
if len(js[0])==1:
|
||||
desiredPos=desiredPositions[qIndex]
|
||||
|
||||
qdiff=desiredPos - jointPos[0]
|
||||
qError.append(qdiff)
|
||||
zeroAccelerations.append(0.)
|
||||
qdot1+=jointVel
|
||||
qIndex+=1
|
||||
qdotIndex+=1
|
||||
if len(js[0])==4:
|
||||
desiredPos=[desiredPositions[qIndex],desiredPositions[qIndex+1],desiredPositions[qIndex+2],desiredPositions[qIndex+3]]
|
||||
axis = self._pb.getAxisDifferenceQuaternion(desiredPos,jointPos)
|
||||
jointVelNew = [jointVel[0],jointVel[1],jointVel[2],0]
|
||||
qdot1+=jointVelNew
|
||||
qError.append(axis[0])
|
||||
qError.append(axis[1])
|
||||
qError.append(axis[2])
|
||||
qError.append(0)
|
||||
desiredVel=[desiredVelocities[qdotIndex],desiredVelocities[qdotIndex+1],desiredVelocities[qdotIndex+2]]
|
||||
zeroAccelerations+=[0.,0.,0.,0.]
|
||||
qIndex+=4
|
||||
qdotIndex+=4
|
||||
|
||||
q = np.array(q1)
|
||||
qdot=np.array(qdot1)
|
||||
|
||||
qdotdesired = np.array(desiredVelocities)
|
||||
qdoterr = qdotdesired-qdot
|
||||
|
||||
|
||||
Kp = np.diagflat(kps)
|
||||
Kd = np.diagflat(kds)
|
||||
|
||||
p = Kp.dot(qError)
|
||||
|
||||
#np.savetxt("pb_qError.csv", qError, delimiter=",")
|
||||
#np.savetxt("pb_p.csv", p, delimiter=",")
|
||||
|
||||
d = Kd.dot(qdoterr)
|
||||
|
||||
#np.savetxt("pb_d.csv", d, delimiter=",")
|
||||
#np.savetxt("pbqdoterr.csv", qdoterr, delimiter=",")
|
||||
|
||||
|
||||
M1 = self._pb.calculateMassMatrix(bodyUniqueId,q1, flags=1)
|
||||
|
||||
|
||||
M2 = np.array(M1)
|
||||
#np.savetxt("M2.csv", M2, delimiter=",")
|
||||
|
||||
M = (M2 + Kd * timeStep)
|
||||
|
||||
#np.savetxt("pbM_tKd.csv",M, delimiter=",")
|
||||
|
||||
|
||||
|
||||
c1 = self._pb.calculateInverseDynamics(bodyUniqueId, q1, qdot1, zeroAccelerations, flags=1)
|
||||
|
||||
|
||||
c = np.array(c1)
|
||||
#np.savetxt("pbC.csv",c, delimiter=",")
|
||||
A = M
|
||||
#p = [0]*43
|
||||
b = p + d -c
|
||||
#np.savetxt("pb_acc.csv",b, delimiter=",")
|
||||
qddot = np.linalg.solve(A, b)
|
||||
tau = p + d - Kd.dot(qddot) * timeStep
|
||||
#print("len(tau)=",len(tau))
|
||||
maxF = np.array(maxForces)
|
||||
forces = np.clip(tau, -maxF , maxF )
|
||||
return forces
|
||||
|
||||
|
||||
|
||||
class PDControllerStable(object):
|
||||
def __init__(self, pb):
|
||||
self._pb = pb
|
||||
|
||||
def computePD(self, bodyUniqueId, jointIndices, desiredPositions, desiredVelocities, kps, kds, maxForces, timeStep):
|
||||
numJoints = self._pb.getNumJoints(bodyUniqueId)
|
||||
jointStates = self._pb.getJointStates(bodyUniqueId, jointIndices)
|
||||
q1 = []
|
||||
qdot1 = []
|
||||
zeroAccelerations = []
|
||||
for i in range (numJoints):
|
||||
q1.append(jointStates[i][0])
|
||||
qdot1.append(jointStates[i][1])
|
||||
zeroAccelerations.append(0)
|
||||
q = np.array(q1)
|
||||
qdot=np.array(qdot1)
|
||||
qdes = np.array(desiredPositions)
|
||||
qdotdes = np.array(desiredVelocities)
|
||||
qError = qdes - q
|
||||
qdotError = qdotdes - qdot
|
||||
Kp = np.diagflat(kps)
|
||||
Kd = np.diagflat(kds)
|
||||
p = Kp.dot(qError)
|
||||
d = Kd.dot(qdotError)
|
||||
forces = p + d
|
||||
|
||||
M1 = self._pb.calculateMassMatrix(bodyUniqueId,q1)
|
||||
M2 = np.array(M1)
|
||||
M = (M2 + Kd * timeStep)
|
||||
c1 = self._pb.calculateInverseDynamics(bodyUniqueId, q1, qdot1, zeroAccelerations)
|
||||
c = np.array(c1)
|
||||
A = M
|
||||
b = -c + p + d
|
||||
qddot = np.linalg.solve(A, b)
|
||||
tau = p + d - Kd.dot(qddot) * timeStep
|
||||
maxF = np.array(maxForces)
|
||||
forces = np.clip(tau, -maxF , maxF )
|
||||
#print("c=",c)
|
||||
return tau
|
Loading…
Reference in New Issue
Block a user