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| Author | SHA1 | Date | |
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| 377a676863 | |||
| 9db480c474 | |||
| 3a8aecbf71 | |||
| 7c8beaa3b9 |
15
README.md
15
README.md
@ -9,9 +9,9 @@ Key specifications:
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2. Success rate
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2. Success rate
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3. Minial joint variation.
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3. Minial joint variation.
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Next:\
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Cost:
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Comparison with Realman official IK method.
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Embedded with current demo.
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<img src="img/cost.jpg" alt="Cost" width="400">
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### Comparison (05June2026):
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### Comparison (05June2026):
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@ -24,6 +24,9 @@ lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0])
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the success rates for **qp-based ik** and **realman Algo ik** are **63%** and **46%**.\
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the success rates for **qp-based ik** and **realman Algo ik** are **63%** and **46%**.\
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At least one solver works out the ik, rate = **74%**.
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At least one solver works out the ik, rate = **74%**.
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- With realman-75 physical joint limit,
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- With realman-75 physical joint limit,
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```
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```
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ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])
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ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])
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@ -32,3 +35,9 @@ lb = -ub
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the success rates for **qp-based ik** and **realman Algo ik** are **76%** and **51%**.\
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the success rates for **qp-based ik** and **realman Algo ik** are **76%** and **51%**.\
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At least one solver works out the ik, rate = **84%**.
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At least one solver works out the ik, rate = **84%**.
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Visualization:
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BIN
img/cost.jpg
Normal file
BIN
img/cost.jpg
Normal file
Binary file not shown.
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After Width: | Height: | Size: 69 KiB |
@ -1,6 +0,0 @@
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#!/bin/bash
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echo "Fixing robotics environment..."
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conda activate coppeliasim
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export PYTHONPATH="/home/zl/miniforge3/envs/coppeliasim/lib/python3.10/site-packages"
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pip install osqp==0.6.2.post8 --force-reinstall
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python -c "import osqp; print(f'OSQP version: {osqp.__version__}')"
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@ -32,11 +32,11 @@ def main():
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if True:
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if True:
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ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0])/180*pi
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# ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0])
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lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0])/180*pi
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# lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0])
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# ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
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ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
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# lb = -ub
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lb = -ub
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robot_kine_qp.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
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robot_kine_qp.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
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@ -8,7 +8,6 @@ import osqp
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from scipy import sparse
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from scipy import sparse
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from math import radians, degrees, pi, cos, sin
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from math import radians, degrees, pi, cos, sin
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import time
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import time
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import threading
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@ -22,8 +21,75 @@ class KinematicsSolver():
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print(f' ------------ the qp based kinematic initialising -----------')
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print(f' ------------ the qp based kinematic initialising -----------')
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self.model, collision_model, visual_model = pin.buildModelsFromUrdf(urdf_path, mesh_dir)
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self.model, collision_model, visual_model = pin.buildModelsFromUrdf(urdf_path, mesh_dir)
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# -------------------------------------------------
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# ee
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# -------------------------------------------------
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ee_offset = pin.SE3(np.eye(3), np.array([0, 0, 0.0]))
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self.model.addFrame(
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pin.Frame(
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"ee",
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self.model.getJointId("joint_7"),
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self.model.getFrameId("link_7"),
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ee_offset,
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pin.FrameType.OP_FRAME
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)
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)
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# -------------------------------------------------
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# Scissor tool
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# -------------------------------------------------
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scissor_offset = pin.SE3(
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np.eye(3),
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np.array([0.0, 0.0, 0.144])
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)
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self.model.addFrame(
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pin.Frame(
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"scissor",
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self.model.getJointId("joint_7"),
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self.model.getFrameId("link_7"),
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scissor_offset,
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pin.FrameType.OP_FRAME
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)
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)
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# -------------------------------------------------
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# Camera tool
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# -------------------------------------------------
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camera_rotation = pin.rpy.rpyToMatrix(
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radians(-90),
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0,
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radians(-90)
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)
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camera_offset = pin.SE3(
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camera_rotation,
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np.array([0.05, 0.02, 0.10])
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)
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self.model.addFrame(
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pin.Frame(
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"camera",
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self.model.getJointId("joint_7"),
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self.model.getFrameId("link_7"),
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camera_offset,
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pin.FrameType.OP_FRAME
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)
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)
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# -------------------------------------------------
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# Store tool frame IDs
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# -------------------------------------------------
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self.tool_frames = {
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"scissor": self.model.getFrameId("scissor"),
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"camera": self.model.getFrameId("camera"),
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"ee": self.model.getFrameId("ee")
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}
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self.data = self.model.createData()
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self.cfg_j_limit()
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self.cfg_j_limit()
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# ---------- for reused qp_solver ------------------
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# ---------- for reused qp_solver ------------------
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@ -52,30 +118,6 @@ class KinematicsSolver():
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self.W = np.diag([1, 1, 1, 0.4, 0.4, 0.4])
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self.W = np.diag([1, 1, 1, 0.4, 0.4, 0.4])
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def add_frame(self,frame_name, position, rotationXYZ):
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'''
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:param frame_name: str
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:param position: [x, y, z] target position (meters)
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:param rotationXYZ: [x, y, z] target rotation (rad)
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'''
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camera_rotation = pin.rpy.rpyToMatrix( rotationXYZ[0], rotationXYZ[1], rotationXYZ[2] )
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camera_offset = pin.SE3(
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camera_rotation,
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np.array(position)
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)
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self.model.addFrame( pin.Frame( frame_name, self.model.getJointId("joint_7"), self.model.getFrameId("link_7"), camera_offset, pin.FrameType.OP_FRAME ) )
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def add_tool_frames(self,dict_frames):
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self.tool_frames ={}
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for tool_name in dict_frames:
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tool_attr = dict_frames[tool_name]
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position = tool_attr[0][0:3]
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rotationXYZ = self.quaternion_to_euler(tool_attr[0][3:7])
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self.add_frame(tool_name, position, rotationXYZ)
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self.tool_frames.update({tool_name: self.model.getFrameId(tool_name)})
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self.data = self.model.createData()
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def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
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def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
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if min_j is None:
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if min_j is None:
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min_j = [-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -6.14159]
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min_j = [-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -6.14159]
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@ -90,7 +132,7 @@ class KinematicsSolver():
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self.model.lowerPositionLimit[i] = min_j[i] / 180 * pi
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self.model.lowerPositionLimit[i] = min_j[i] / 180 * pi
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self.model.upperPositionLimit[i] = max_j[i] / 180 * pi
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self.model.upperPositionLimit[i] = max_j[i] / 180 * pi
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def forward_kinematics(self, joint_angles, tool="omnipic"):
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def forward_kinematics(self, joint_angles, tool="ee"):
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"""
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"""
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Compute forward kinematics.
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Compute forward kinematics.
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@ -159,7 +201,8 @@ class KinematicsSolver():
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"""
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"""
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# Build target SE3 placement
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# Build target SE3 placement
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if target_quat is not None:
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if target_quat is not None:
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quat = pin.Quaternion(target_quat[3], target_quat[0], target_quat[1], target_quat[2])
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quat = pin.Quaternion(target_quat[3], target_quat[0],
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target_quat[1], target_quat[2])
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target_rotation = quat.matrix()
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target_rotation = quat.matrix()
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elif target_rpy is not None:
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elif target_rpy is not None:
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target_rotation = pin.rpy.rpyToMatrix(target_rpy[0],
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target_rotation = pin.rpy.rpyToMatrix(target_rpy[0],
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@ -321,39 +364,10 @@ class KinematicsSolver():
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if best_solution is not None:
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if best_solution is not None:
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# return best_solution, True, best_error, iter_count
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# return best_solution, True, best_error, iter_count
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return 0, best_solution.tolist()
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return 0, best_solution
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else:
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else:
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# return q[:7].copy(), False, error_norm, iter_count
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# return q[:7].copy(), False, error_norm, iter_count
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return -1, q[:7].copy().tolist()
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return -1, q[:7].copy()
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def quaternion_to_euler(self, q):
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"""
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Convert quaternion to Euler angles (roll, pitch, yaw)
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Args:
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qx, qy, qz, qw: quaternion components
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Returns:
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tuple: (roll, pitch, yaw) in radians
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"""
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# Roll (x-axis rotation)
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sinr_cosp = 2.0 * (q[3] * q[0] + q[1] * q[2])
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cosr_cosp = 1.0 - 2.0 * (q[0] * q[0] + q[1] * q[1])
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roll = np.arctan2(sinr_cosp, cosr_cosp)
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# Pitch (y-axis rotation)
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sinp = 2.0 * (q[3] * q[1] - q[2] * q[0])
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if abs(sinp) >= 1:
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pitch = np.copysign(np.pi / 2, sinp) # Use 90 degrees if out of range
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else:
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pitch = np.arcsin(sinp)
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# Yaw (z-axis rotation)
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siny_cosp = 2.0 * (q[3] * q[2] + q[0] * q[1])
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cosy_cosp = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2])
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yaw = np.arctan2(siny_cosp, cosy_cosp)
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return [roll, pitch, yaw]
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# def invese_kinematics_velocity(self, target_position, target_rpy=None,
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# def invese_kinematics_velocity(self, target_position, target_rpy=None,
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# target_quat=None, initial_guess=None, tool="ee"):
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# target_quat=None, initial_guess=None, tool="ee"):
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@ -14,11 +14,16 @@ class rm75_kine_api():
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self.cfg_j_limit()
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self.cfg_j_limit()
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self.tool_frames = {
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'ee': rm_frame_t(frame_name="ee", pose=(0.0, 0.0, 0.0, 0.0, 0, 0.0), payload=1, x=0, y=0, z=0),
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'scissor': rm_frame_t(frame_name="scissor", pose=(0.0, 0.0, 0.144, 0.0, 0, 0.0), payload=1, x=0, y=0, z=72),
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'camera': rm_frame_t(frame_name="camera", pose=(0.05, 0.02, 0.10, -1.57, 0, -1.57), payload=1, x=0, y=0, z=72)
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}
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self.work_frames = {
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self.work_frames = {
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'work': rm_frame_t(frame_name="work", pose=(0.0, 0.0, 0.0, 0.0, 0, 0.0), payload=1, x=0, y=0, z=0),
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'work': rm_frame_t(frame_name="ee", pose=(0.0, 0.0, 0.0, 0.0, 0, 0.0), payload=1, x=0, y=0, z=0),
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}
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}
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self.tool_name = "no_tool"
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self.tool_name = "ee"
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self.work_name = "work"
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self.work_name = "work"
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def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
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def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
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@ -27,8 +32,6 @@ class rm75_kine_api():
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if min_j is None:
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if min_j is None:
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min_j = np.array([ -3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159 ])
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min_j = np.array([ -3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159 ])
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max_j = np.array(max_j)
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min_j = np.array(min_j)
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if rad_flag:
|
if rad_flag:
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self.robot_kine_rm.rm_algo_set_joint_max_limit((max_j * 180 / math.pi).tolist())
|
self.robot_kine_rm.rm_algo_set_joint_max_limit((max_j * 180 / math.pi).tolist())
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self.robot_kine_rm.rm_algo_set_joint_min_limit((min_j * 180 / math.pi).tolist())
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self.robot_kine_rm.rm_algo_set_joint_min_limit((min_j * 180 / math.pi).tolist())
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@ -48,46 +51,7 @@ class rm75_kine_api():
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def get_tool_frame(self):
|
def get_tool_frame(self):
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return self.robot_kine_rm.rm_algo_get_curr_toolframe()
|
return self.robot_kine_rm.rm_algo_get_curr_toolframe()
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def quaternion_to_euler(self, q):
|
def forward_kinematics(self, joint_angles, flag = 1 , tool="ee", work="work"):
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"""
|
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Convert quaternion to Euler angles (roll, pitch, yaw)
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|
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Args:
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qx, qy, qz, qw: quaternion components
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Returns:
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tuple: (roll, pitch, yaw) in radians
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"""
|
|
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# Roll (x-axis rotation)
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|
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sinr_cosp = 2.0 * (q[3] * q[0] + q[1] * q[2])
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cosr_cosp = 1.0 - 2.0 * (q[0] * q[0] + q[1] * q[1])
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roll = np.arctan2(sinr_cosp, cosr_cosp)
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# Pitch (y-axis rotation)
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sinp = 2.0 * (q[3] * q[1] - q[2] * q[0])
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if abs(sinp) >= 1:
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pitch = np.copysign(np.pi / 2, sinp) # Use 90 degrees if out of range
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else:
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pitch = np.arcsin(sinp)
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# Yaw (z-axis rotation)
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siny_cosp = 2.0 * (q[3] * q[2] + q[0] * q[1])
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|
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cosy_cosp = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2])
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yaw = np.arctan2(siny_cosp, cosy_cosp)
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return [roll, pitch, yaw]
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|
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def add_tool_frames(self, dict_frames):
|
|
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self.tool_frames = {}
|
|
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for tool_name in dict_frames:
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|
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tool_attr = dict_frames[tool_name]
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|
||||||
position = tool_attr[0][0:3]
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|
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rotationXYZ = self.quaternion_to_euler(tool_attr[0][3:7])
|
|
||||||
f = rm_frame_t(frame_name=tool_name, pose=(position[0], position[1], position[2], rotationXYZ[0], rotationXYZ[1], rotationXYZ[2]), payload=1, x=0, y=0, z=0)
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|
||||||
|
|
||||||
self.tool_frames.update({tool_name:f})
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|
||||||
|
|
||||||
def forward_kinematics(self, joint_angles, flag = 1 , tool="omnipic", work="work"):
|
|
||||||
'''
|
'''
|
||||||
:param joint_angles: list of joint values, in rad
|
:param joint_angles: list of joint values, in rad
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||||||
:param flag: 0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
|
:param flag: 0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
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||||||
@ -102,7 +66,7 @@ class rm75_kine_api():
|
|||||||
|
|
||||||
return self.robot_kine_rm.rm_algo_forward_kinematics(joint=[q_s*180/math.pi for q_s in joint_angles] , flag=flag)
|
return self.robot_kine_rm.rm_algo_forward_kinematics(joint=[q_s*180/math.pi for q_s in joint_angles] , flag=flag)
|
||||||
|
|
||||||
def inverse_kinematics(self, target_position, target_rpy=None, initial_guess=None, tool="omnipic", work="work"):
|
def inverse_kinematics(self, target_position, target_rpy=None, initial_guess=None, tool="ee", work="work"):
|
||||||
'''
|
'''
|
||||||
:param target_position: list of position values, m
|
:param target_position: list of position values, m
|
||||||
:param target_rpy: list of rpy values, rad
|
:param target_rpy: list of rpy values, rad
|
||||||
|
|||||||
BIN
kine_ctrl/visual/mjc_ik_test1/mjc_ik.gif
Normal file
BIN
kine_ctrl/visual/mjc_ik_test1/mjc_ik.gif
Normal file
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After Width: | Height: | Size: 796 KiB |
Reference in New Issue
Block a user