forked from ZhengLiu-cart/IK_qp
refine qp based controller
This commit is contained in:
@ -1,8 +1,10 @@
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from casadi import print_operator
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# conda activate coppeliasim
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# env fix, in terminal: ~/fix_robotics_env.sh
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# env fix, in terminal: fix_robotics_env.sh
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from rm75_kine_qp import KinematicsSolver as kine_ctrl
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from rm75_kine_qp import KinematicsSolver as kine_qp
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from rm75_kine_rm import rm75_kine_api as kine_rm
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from rm75_mjc import MuJoCoPositionController
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from Robotic_Arm.rm_robot_interface import *
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@ -28,19 +30,19 @@ def demo_position_control():
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robot_mjk.print_state()
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time.sleep(0.5)
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print("\n[Test 2] Move joint 2 to -30 degrees")
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robot_mjk.send_command([0, -0.524, 0, 0, 0, 0, 0])
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robot_mjk.wait_until_reached()
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robot_mjk.print_state()
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time.sleep(0.5)
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# print("\n[Test 2] Move joint 2 to -30 degrees")
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# robot_mjk.send_command([0, -0.524, 0, 0, 0, 0, 0])
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# robot_mjk.wait_until_reached()
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# robot_mjk.print_state()
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# time.sleep(0.5)
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#
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# print("\n[Test 3] Move multiple joints simultaneously")
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# robot_mjk.send_command([0.5, -0.4, 0.3, 0.2, 0.1, 0, 0])
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# robot_mjk.wait_until_reached()
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# robot_mjk.print_state()
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# time.sleep(0.5)
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print("\n[Test 3] Move multiple joints simultaneously")
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robot_mjk.send_command([0.5, -0.4, 0.3, 0.2, 0.1, 0, 0])
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robot_mjk.wait_until_reached()
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robot_mjk.print_state()
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time.sleep(0.5)
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print("\n[Test 4] Return home")
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print("\n[Test 4] Return home\n")
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robot_mjk.send_command([0, 0, 0, 0, 0, 0, 0])
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robot_mjk.wait_until_reached()
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robot_mjk.print_state()
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@ -48,139 +50,62 @@ def demo_position_control():
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#---------------------------------------------------------------------------
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robot_kine = kine_ctrl()
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# Test 1: Forward Kinematics
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print("\n1. Forward Kinematics Test")
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print("-" * 40)
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joints = [10, 20, -30, -40, 50, 60, 70]
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joints_rad = [radians(j) for j in joints] #radians(joints)
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# target_position = [0.3, 0.2, 0.4]
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# target_rpy = [0.0, 0.0, 3.14*0.25]
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target_position = [0.17892041, 0.25274317, 0.83107248]
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target_rpy = [0.78576018, 0.67554633, 1.86302226]
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target_p = target_position + target_rpy
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# target_p_rad = [radians(pos) for pos in target_position] + target_rpy
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initial_guess = [11, 20, -30, -40, 50, 60, 71] # [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0] #
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initial_guess_rad = [ radians(j) for j in initial_guess ]
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tool_name = "scissor"
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joint_angles_zero = [0.1] * 7
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fk_result = robot_kine.forward_kinematics(joint_angles_zero, tool=tool_name)
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# Test 2: Inverse Kinematics with more reachable target
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print("\n2. Inverse Kinematics Test")
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print("-" * 40)
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# Try a simpler target first
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target_pos = [0.3, 0.2, 0.4] # More reachable position
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target_rpy = [0.0, 0.0, radians(45)] # Simpler orientation
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robot_kine_qp = kine_qp()
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print(f'the forward kinematics result: {robot_kine_qp.forward_kinematics(joints_rad , tool=tool_name)}')
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print(f"Target: ({target_pos[0]:.3f}, {target_pos[1]:.3f}, {target_pos[2]:.3f}) m")
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init_joints = [0.2] * 7
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time0 = time.time()
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for ii in range(100):
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joint_solution, success, error = robot_kine.inverse_kinematics(
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target_pos, target_rpy=target_rpy, initial_guess=init_joints,
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joint_solution, success, error = robot_kine_qp.inverse_kinematics(
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target_p[0:3], target_rpy=target_p[3:6], initial_guess=initial_guess_rad,
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max_iter=500, debug=False, tool=tool_name
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)
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time1 = time.time()
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print(f"Time: {time1 - time0}")
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print(f'the qp based kinematics result: {joint_solution}, success: {success}, error: {error}\n')
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if success:
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print(f"✓ Solution found! Error: {error:.6f} m")
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for i, angle in enumerate(joint_solution):
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print(f" Joint {i + 1}: {degrees(angle):7.2f}°")
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print(f'forward result of the ik solution is {robot_kine_qp.forward_kinematics(joint_solution , tool=tool_name)}\n')
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# Verify
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fk_verify = robot_kine.forward_kinematics(joint_solution,tool=tool_name)
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print(
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f" Position: ({fk_verify['position'][0]:.3f}, {fk_verify['position'][1]:.3f}, {fk_verify['position'][2]:.3f}) m")
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else:
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print("✗ IK failed to find a solution!")
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# Test 3: Jacobian
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print("\n3. Jacobian Matrix")
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print("-" * 40)
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J = robot_kine.compute_jacobian(joint_angles_zero, tool=tool_name)
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print(f"Jacobian shape: {J.shape}")
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for i in range(min(3, J.shape[0])):
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row_str = " ".join([f"{J[i, j]:7.3f}" for j in range(7)])
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print(f" Row {i + 1}: {row_str}")
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# Test 4: Trajectory Planning with reachable positions
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print("\n4. Cartesian Trajectory Planning")
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print("-" * 40)
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start_pos = [0.3, 0.0, 0.4] # Start position
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end_pos = [0.3, 0.0, 0.55] # End position (smaller movement)
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fk0 = robot_kine.forward_kinematics([0.1] * 7, tool=tool_name)
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trajectory = robot_kine.plan_cartesian_trajectory(
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start_pos,
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end_pos,
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start_rpy=fk0['rpy'],
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end_rpy=[
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fk0['rpy'][0] + radians(10),
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fk0['rpy'][1],
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fk0['rpy'][2]
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],
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num_steps=10,
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tool=tool_name
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)
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if trajectory:
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print(f"\n✓ Generated {len(trajectory)} waypoints")
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if success:
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print("✓ Inverse kinematics working (with simplified target)")
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else:
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print("⚠ Inverse kinematics may need tuning - try different targets")
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print("\n" + "=" * 60)
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print(f'test subchain Jacobian, for future obstacle avoidance')
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frame_names = [
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"link_2",
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"link_4",
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"link_7"
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]
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Js_sub = robot_kine.get_subchain_jacobian(
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joint_angles=joint_angles_zero,
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frame_names=frame_names
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)
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print(f'Js_sub: {Js_sub}')
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# ---------- rm75 official algorithm -----------
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arm_model = rm_robot_arm_model_e.RM_MODEL_RM_75_E # RM_65 Robotic arm
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force_type = rm_force_type_e.RM_MODEL_RM_B_E # Standard version
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# Initialize the robotic arm model and sensor type in the algorithm
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robot_kine_rm = Algo(arm_model, force_type)
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frame = rm_frame_t("work", [0.0, 0.0, 0.0, 0.0, 0, 0.0])
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robot_kine_rm.rm_algo_set_workframe(frame)
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print(robot_kine_rm.rm_algo_get_curr_workframe())
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frame = rm_frame_t("work", [0.0, 0.0, 0.0, 0.0, 0, 0.0])
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robot_kine_rm.rm_algo_set_toolframe(frame)
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print(robot_kine_rm.rm_algo_get_curr_toolframe())
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joint_max_limit = np.array([
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3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159
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])*57
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robot_kine_rm.rm_algo_set_joint_max_limit(joint_max_limit.tolist())
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joint_min_limit = np.array([
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-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159
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]) * 57
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robot_kine_rm.rm_algo_set_joint_min_limit(joint_max_limit.tolist())
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robot_kine_rm = kine_rm()
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print(f'forward kine pose is {robot_kine_rm.forward_kinematics(q=joints, tool=tool_name)}')
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ret, q = robot_kine_rm.inverse_kinematics(target_position=target_p[0:3], target_rpy=target_p[3:6],initial_guess=initial_guess, tool=tool_name)
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q_ref = [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0]
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ret, phi = robot_kine_rm.rm_algo_calculate_arm_angle_from_config_rm75(q_ref)
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params = rm_inverse_kinematics_params_t([0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0],
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[0.3, 0.0, 0.3, 3.14, 0.0, 3.14], 1)
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ret, q_out = robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
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print(f"rm_algo_inverse_kinematics_rm75_for_arm_angle ret: {ret} q_out: {q_out}")
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print(f'the ik result is ret ={ret}, q = {[radians(q_s) for q_s in q]}')
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if ret == 0:
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print(f'forward result of ik rm ik solution is {robot_kine_rm.forward_kinematics(q=q, tool=tool_name)} ')
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try:
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while robot_mjk.viewer and robot_mjk.viewer.is_running():
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time.sleep(0.1)
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except KeyboardInterrupt:
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pass
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print(f'\nDone\n')
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# try:
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# while robot_mjk.viewer and robot_mjk.viewer.is_running():
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# time.sleep(0.1)
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# except KeyboardInterrupt:
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# pass
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robot_mjk.stop()
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@ -16,8 +16,9 @@ class KinematicsSolver():
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"""
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for realman 75b
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Initialize robotic arm kinematics using Pinocchio (ROS2 version).
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unit: m, rad
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"""
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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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# -------------------------------------------------
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@ -44,7 +45,7 @@ class KinematicsSolver():
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)
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self.model.addFrame(
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pin.Frame(
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"scissor_tcp",
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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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@ -66,7 +67,7 @@ class KinematicsSolver():
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)
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self.model.addFrame(
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pin.Frame(
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"camera_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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@ -79,8 +80,8 @@ class KinematicsSolver():
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# -------------------------------------------------
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self.tool_frames = {
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"scissor": self.model.getFrameId("scissor_tcp"),
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"camera": self.model.getFrameId("camera_frame"),
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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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@ -106,9 +107,10 @@ class KinematicsSolver():
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self.nv = 7
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# Full dense symmetric matrix structure
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P_template = np.triu(np.ones((7, 7)))
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# P_template = np.triu(np.ones((7, 7)))
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self.P_pattern = sparse.triu(np.ones((7,7))).tocsc()
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P_sparse = sparse.csc_matrix(P_template)
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P_sparse = sparse.csc_matrix(self.P_pattern)
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A_sparse = sparse.eye(7, format='csc')
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@ -138,6 +140,8 @@ class KinematicsSolver():
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Returns:
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dict: Position, rotation, rpy, quaternion
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unit: position: m
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rpy: rad
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"""
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if len(joint_angles) != 7:
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raise ValueError(f"RM75 has 7 joints, got {len(joint_angles)}")
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@ -167,15 +171,15 @@ class KinematicsSolver():
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return {
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'position': position,
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'rotation': rotation,
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# 'rotation': rotation,
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'rpy': rpy,
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'quaternion': [quat.x, quat.y, quat.z, quat.w],
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'transform': frame_transform
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# 'transform': frame_transform
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}
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def inverse_kinematics(self, target_position, target_rpy=None,
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target_quat=None, initial_guess=None,
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max_iter=200, tolerance=1e-3, debug=False, tool="ee"):
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max_iter=500, tolerance=3e-3, debug=False, tool="ee"):
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"""
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Compute inverse kinematics using differential IK with multiple strategies.
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@ -230,7 +234,7 @@ class KinematicsSolver():
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self.model.upperPositionLimit[i])
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# Differential IK with adaptive damping
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damping = 0.01
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damping = 0.1
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damping_reduction = 0.95
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iter_count = 0
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prev_error = float('inf')
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@ -242,9 +246,20 @@ class KinematicsSolver():
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self.data,
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q,
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ee_frame_id,
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pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
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pin.ReferenceFrame.LOCAL
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)
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pin.forwardKinematics(self.model, self.data, q)
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pin.updateFramePlacements(self.model, self.data)
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current_placement = self.data.oMf[ee_frame_id]
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error_SE3 = current_placement.actInv(target_placement)
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error_vec = pin.log(error_SE3).vector
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print("initial error =", np.linalg.norm(error_vec))
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print(error_vec)
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while iter_count < max_iter:
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# Compute forward kinematics
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@ -281,7 +296,7 @@ class KinematicsSolver():
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self.model,
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self.data,
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ee_frame_id,
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pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
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pin.ReferenceFrame.LOCAL
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)
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# =========================
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@ -319,20 +334,32 @@ class KinematicsSolver():
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# ------------------------
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# Update solver
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self.osqp_solver.update(
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Px=H_triu.data,
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Px= H_triu.data, #H[np.triu_indices(7)], #
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q=g,
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l=lb,
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u=ub
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)
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print("iter", iter_count)
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print("error", error_norm)
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print("cond(H)", np.linalg.cond(H))
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# Solve
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result = self.osqp_solver.solve()
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print("OSQP status =", result.info.status)
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print("dq =", result.x)
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if result.x is not None:
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print("dq norm:", np.linalg.norm(result.x))
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if result.info.status != 'solved':
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break
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dq = result.x
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print(f'pred = {J @ dq} and error_vec = {error_vec}')
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if dq is None:
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break
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@ -344,180 +371,198 @@ class KinematicsSolver():
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prev_error = error_norm
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iter_count += 1
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print("target:", target_position, target_rpy)
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print("initial guess:", np.degrees(initial_guess))
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fk0 = self.forward_kinematics(initial_guess)
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print("fk guess:", fk0)
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print("initial error norm:", error_norm)
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print(iter_count,
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error_norm,
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result.info.status)
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if best_solution is not None:
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print(
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"converged",
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error_norm,
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position_error
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)
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return best_solution, True, best_error
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else:
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return None, False, 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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"""
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Compute the converging velocity (motion direction) of joints based on qp inverse kinematics.
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Args:
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target_position: [x, y, z] target position (meters)
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target_rpy: [roll, pitch, yaw] target orientation (radians)
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target_quat: [x, y, z, w] target orientation as quaternion
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initial_guess: Initial joint angles (radians)
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tool: the frame name ('scissor', 'camera', 'ee')
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Returns:
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joint_velocity: np.array()
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"""
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# Build target SE3 placement
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if target_quat is not None:
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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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elif target_rpy is not None:
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target_rotation = pin.rpy.rpyToMatrix(target_rpy[0],
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target_rpy[1],
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target_rpy[2])
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else:
|
||||
target_rotation = np.eye(3)
|
||||
|
||||
target_placement = pin.SE3(target_rotation, np.array(target_position))
|
||||
|
||||
# Try multiple initial guesses
|
||||
initial_guesses = []
|
||||
|
||||
if initial_guess is not None:
|
||||
initial_guesses.append(initial_guess)
|
||||
else:
|
||||
# Try different initial configurations
|
||||
initial_guesses.append([0.1] * 7) # Zero config
|
||||
initial_guesses.append([radians(30), radians(45), radians(30),
|
||||
radians(-45), radians(30), radians(-30), 0])
|
||||
initial_guesses.append([radians(-30), radians(45), radians(-30),
|
||||
radians(45), radians(30), radians(30), 0])
|
||||
|
||||
best_solution = None
|
||||
best_error = float('inf')
|
||||
|
||||
for guess_idx, guess in enumerate(initial_guesses):
|
||||
q = pin.neutral(self.model)
|
||||
for i, angle in enumerate(guess):
|
||||
if i < len(q):
|
||||
q[i] = np.clip(angle, self.model.lowerPositionLimit[i],
|
||||
self.model.upperPositionLimit[i])
|
||||
|
||||
# Differential IK with adaptive damping
|
||||
damping = 0.01
|
||||
damping_reduction = 0.95
|
||||
iter_count = 0
|
||||
prev_error = float('inf')
|
||||
|
||||
ee_frame_id = self.tool_frames[tool]
|
||||
|
||||
J = pin.computeFrameJacobian(
|
||||
self.model,
|
||||
self.data,
|
||||
q,
|
||||
ee_frame_id,
|
||||
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
|
||||
)
|
||||
|
||||
while iter_count < max_iter:
|
||||
# Compute forward kinematics
|
||||
|
||||
pin.computeJointJacobians(self.model, self.data, q)
|
||||
pin.framesForwardKinematics(self.model, self.data, q)
|
||||
|
||||
# Get current end-effector placement
|
||||
|
||||
current_placement = self.data.oMf[ee_frame_id]
|
||||
|
||||
# Compute error
|
||||
error_SE3 = current_placement.actInv(target_placement)
|
||||
error_vec = pin.log(error_SE3).vector
|
||||
error_norm = np.linalg.norm(error_vec)
|
||||
|
||||
if error_norm < tolerance:
|
||||
joint_angles = q[:7].copy()
|
||||
fk_result = self.forward_kinematics(joint_angles, tool=tool)
|
||||
position_error = np.linalg.norm(fk_result['position'] - np.array(target_position))
|
||||
|
||||
if position_error < best_error:
|
||||
best_error = position_error
|
||||
best_solution = joint_angles
|
||||
break
|
||||
|
||||
# Check if error is increasing (diverging)
|
||||
if error_norm > prev_error * 1.1 and iter_count > 10:
|
||||
damping = min(1.0, damping * 1.5)
|
||||
else:
|
||||
damping = max(0.01, damping * damping_reduction)
|
||||
|
||||
J = pin.getFrameJacobian(
|
||||
self.model,
|
||||
self.data,
|
||||
ee_frame_id,
|
||||
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
|
||||
)
|
||||
|
||||
# =========================
|
||||
# QP-based IK
|
||||
# =========================
|
||||
|
||||
H = J.T @ self.W @ J
|
||||
H += damping * damping * np.eye(7)
|
||||
|
||||
H_triu = sparse.triu(H).tocsc()
|
||||
|
||||
g = -J.T @ self.W @ error_vec
|
||||
|
||||
# -------------------------
|
||||
# Joint velocity constraints
|
||||
# -------------------------
|
||||
|
||||
dq_limit = 0.05 # rad per iteration
|
||||
|
||||
lb = -dq_limit * np.ones(7)
|
||||
ub = dq_limit * np.ones(7)
|
||||
|
||||
# -------------------------
|
||||
# Joint position constraints
|
||||
# -------------------------
|
||||
|
||||
q_min_step = self.model.lowerPositionLimit[:7] - q[:7]
|
||||
q_max_step = self.model.upperPositionLimit[:7] - q[:7]
|
||||
|
||||
lb = np.maximum(lb, q_min_step)
|
||||
ub = np.minimum(ub, q_max_step)
|
||||
|
||||
# -------------------------
|
||||
# Solve QP
|
||||
# ------------------------
|
||||
# Update solver
|
||||
self.osqp_solver.update(
|
||||
Px=H_triu.data,
|
||||
q=g,
|
||||
l=lb,
|
||||
u=ub
|
||||
)
|
||||
|
||||
# Solve
|
||||
result = self.osqp_solver.solve()
|
||||
|
||||
if result.info.status != 'solved':
|
||||
break
|
||||
|
||||
dq = result.x
|
||||
|
||||
if dq is None:
|
||||
break
|
||||
|
||||
# Apply joint limits with scaling
|
||||
alpha = 0.5
|
||||
q = pin.integrate(self.model, q, alpha * dq)
|
||||
|
||||
prev_error = error_norm
|
||||
iter_count += 1
|
||||
|
||||
if best_solution is not None:
|
||||
return best_solution, True, best_error
|
||||
else:
|
||||
return None, False, None
|
||||
# def invese_kinematics_velocity(self, target_position, target_rpy=None,
|
||||
# target_quat=None, initial_guess=None, tool="ee"):
|
||||
# """
|
||||
# Compute the converging velocity (motion direction) of joints based on qp inverse kinematics.
|
||||
#
|
||||
# Args:
|
||||
# target_position: [x, y, z] target position (meters)
|
||||
# target_rpy: [roll, pitch, yaw] target orientation (radians)
|
||||
# target_quat: [x, y, z, w] target orientation as quaternion
|
||||
# initial_guess: Initial joint angles (radians)
|
||||
# tool: the frame name ('scissor', 'camera', 'ee')
|
||||
#
|
||||
# Returns:
|
||||
# joint_velocity: np.array()
|
||||
# """
|
||||
# # Build target SE3 placement
|
||||
# if target_quat is not None:
|
||||
# quat = pin.Quaternion(target_quat[3], target_quat[0],
|
||||
# target_quat[1], target_quat[2])
|
||||
# target_rotation = quat.matrix()
|
||||
# elif target_rpy is not None:
|
||||
# target_rotation = pin.rpy.rpyToMatrix(target_rpy[0],
|
||||
# target_rpy[1],
|
||||
# target_rpy[2])
|
||||
# else:
|
||||
# target_rotation = np.eye(3)
|
||||
#
|
||||
# target_placement = pin.SE3(target_rotation, np.array(target_position))
|
||||
#
|
||||
# # Try multiple initial guesses
|
||||
# initial_guesses = []
|
||||
#
|
||||
# if initial_guess is not None:
|
||||
# initial_guesses.append(initial_guess)
|
||||
# else:
|
||||
# # Try different initial configurations
|
||||
# initial_guesses.append([0.1] * 7) # Zero config
|
||||
# initial_guesses.append([radians(30), radians(45), radians(30),
|
||||
# radians(-45), radians(30), radians(-30), 0])
|
||||
# initial_guesses.append([radians(-30), radians(45), radians(-30),
|
||||
# radians(45), radians(30), radians(30), 0])
|
||||
#
|
||||
# best_solution = None
|
||||
# best_error = float('inf')
|
||||
#
|
||||
# for guess_idx, guess in enumerate(initial_guesses):
|
||||
# q = pin.neutral(self.model)
|
||||
# for i, angle in enumerate(guess):
|
||||
# if i < len(q):
|
||||
# q[i] = np.clip(angle, self.model.lowerPositionLimit[i],
|
||||
# self.model.upperPositionLimit[i])
|
||||
#
|
||||
# # Differential IK with adaptive damping
|
||||
# damping = 0.01
|
||||
# damping_reduction = 0.95
|
||||
# iter_count = 0
|
||||
# prev_error = float('inf')
|
||||
#
|
||||
# ee_frame_id = self.tool_frames[tool]
|
||||
#
|
||||
# J = pin.computeFrameJacobian(
|
||||
# self.model,
|
||||
# self.data,
|
||||
# q,
|
||||
# ee_frame_id,
|
||||
# pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
|
||||
# )
|
||||
#
|
||||
# while iter_count < max_iter:
|
||||
# # Compute forward kinematics
|
||||
#
|
||||
# pin.computeJointJacobians(self.model, self.data, q)
|
||||
# pin.framesForwardKinematics(self.model, self.data, q)
|
||||
#
|
||||
# # Get current end-effector placement
|
||||
#
|
||||
# current_placement = self.data.oMf[ee_frame_id]
|
||||
#
|
||||
# # Compute error
|
||||
# error_SE3 = current_placement.actInv(target_placement)
|
||||
# error_vec = pin.log(error_SE3).vector
|
||||
# error_norm = np.linalg.norm(error_vec)
|
||||
#
|
||||
# if error_norm < tolerance:
|
||||
# joint_angles = q[:7].copy()
|
||||
# fk_result = self.forward_kinematics(joint_angles, tool=tool)
|
||||
# position_error = np.linalg.norm(fk_result['position'] - np.array(target_position))
|
||||
#
|
||||
# if position_error < best_error:
|
||||
# best_error = position_error
|
||||
# best_solution = joint_angles
|
||||
# break
|
||||
#
|
||||
# # Check if error is increasing (diverging)
|
||||
# if error_norm > prev_error * 1.1 and iter_count > 10:
|
||||
# damping = min(1.0, damping * 1.5)
|
||||
# else:
|
||||
# damping = max(0.01, damping * damping_reduction)
|
||||
#
|
||||
# J = pin.getFrameJacobian(
|
||||
# self.model,
|
||||
# self.data,
|
||||
# ee_frame_id,
|
||||
# pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
|
||||
# )
|
||||
#
|
||||
# # =========================
|
||||
# # QP-based IK
|
||||
# # =========================
|
||||
#
|
||||
# H = J.T @ self.W @ J
|
||||
# H += damping * damping * np.eye(7)
|
||||
#
|
||||
# H_triu = sparse.triu(H).tocsc()
|
||||
#
|
||||
# g = -J.T @ self.W @ error_vec
|
||||
#
|
||||
# # -------------------------
|
||||
# # Joint velocity constraints
|
||||
# # -------------------------
|
||||
#
|
||||
# dq_limit = 0.05 # rad per iteration
|
||||
#
|
||||
# lb = -dq_limit * np.ones(7)
|
||||
# ub = dq_limit * np.ones(7)
|
||||
#
|
||||
# # -------------------------
|
||||
# # Joint position constraints
|
||||
# # -------------------------
|
||||
#
|
||||
# q_min_step = self.model.lowerPositionLimit[:7] - q[:7]
|
||||
# q_max_step = self.model.upperPositionLimit[:7] - q[:7]
|
||||
#
|
||||
# lb = np.maximum(lb, q_min_step)
|
||||
# ub = np.minimum(ub, q_max_step)
|
||||
#
|
||||
# # -------------------------
|
||||
# # Solve QP
|
||||
# # ------------------------
|
||||
# # Update solver
|
||||
# self.osqp_solver.update(
|
||||
# Px=H_triu.data,
|
||||
# q=g,
|
||||
# l=lb,
|
||||
# u=ub
|
||||
# )
|
||||
#
|
||||
# # Solve
|
||||
# result = self.osqp_solver.solve()
|
||||
#
|
||||
# if result.info.status != 'solved':
|
||||
# break
|
||||
#
|
||||
# dq = result.x
|
||||
#
|
||||
# if dq is None:
|
||||
# break
|
||||
#
|
||||
# # Apply joint limits with scaling
|
||||
# alpha = 0.5
|
||||
# q = pin.integrate(self.model, q, alpha * dq)
|
||||
#
|
||||
# prev_error = error_norm
|
||||
# iter_count += 1
|
||||
#
|
||||
# if best_solution is not None:
|
||||
# return best_solution, True, best_error
|
||||
# else:
|
||||
# return None, False, None
|
||||
|
||||
def compute_jacobian(self, joint_angles, tool="ee"):
|
||||
"""Compute geometric Jacobian (6x7)"""
|
||||
@ -557,7 +602,7 @@ class KinematicsSolver():
|
||||
self.model,
|
||||
self.data,
|
||||
frame_id,
|
||||
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
|
||||
pin.ReferenceFrame.LOCAL
|
||||
)
|
||||
Js.append(J[:, active_joints])
|
||||
|
||||
|
||||
80
kine_ctrl/rm75_kine_rm.py
Normal file
80
kine_ctrl/rm75_kine_rm.py
Normal file
@ -0,0 +1,80 @@
|
||||
|
||||
from Robotic_Arm.rm_robot_interface import *
|
||||
import numpy as np
|
||||
|
||||
class rm75_kine_api():
|
||||
def __init__(self):
|
||||
# ---------- rm75 official algorithm -----------
|
||||
print(f'------- the realman official kinematic initialising -------')
|
||||
arm_model = rm_robot_arm_model_e.RM_MODEL_RM_75_E # RM_65 Robotic arm
|
||||
force_type = rm_force_type_e.RM_MODEL_RM_B_E # Standard version
|
||||
# Initialize the robotic arm model and sensor type in the algorithm
|
||||
self.robot_kine_rm = Algo(arm_model, force_type)
|
||||
|
||||
self.tool_frames = {
|
||||
'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),
|
||||
'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),
|
||||
'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)
|
||||
}
|
||||
self.work_frames = {
|
||||
'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),
|
||||
}
|
||||
|
||||
self.tool_name = "ee"
|
||||
self.work_name = "work"
|
||||
|
||||
def cfg_limit(self):
|
||||
joint_max_limit = np.array([
|
||||
3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159
|
||||
]) * 57
|
||||
self.robot_kine_rm.rm_algo_set_joint_max_limit(joint_max_limit.tolist())
|
||||
joint_min_limit = np.array([
|
||||
-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159
|
||||
]) * 57
|
||||
self.robot_kine_rm.rm_algo_set_joint_min_limit(joint_min_limit.tolist())
|
||||
|
||||
def cfg_work_frame(self , frame_name):
|
||||
self.robot_kine_rm.rm_algo_set_workframe(self.work_frames[frame_name])
|
||||
|
||||
def get_work_frame(self):
|
||||
return self.robot_kine_rm.rm_algo_get_curr_workframe()
|
||||
|
||||
def cfg_tool_frame(self, frame_name ):
|
||||
self.robot_kine_rm.rm_algo_set_toolframe(self.tool_frames[frame_name])
|
||||
|
||||
def get_tool_frame(self):
|
||||
return self.robot_kine_rm.rm_algo_get_curr_toolframe()
|
||||
|
||||
def forward_kinematics(self, q, flag = 1 , tool="ee", work="work"):
|
||||
'''
|
||||
:param q: list of joint values, in degree
|
||||
flag: 0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
|
||||
'''
|
||||
if tool != self.tool_name:
|
||||
self.tool_name = tool
|
||||
self.cfg_tool_frame(tool)
|
||||
if work != self.work_name:
|
||||
self.work_name = work
|
||||
self.cfg_work_frame(work)
|
||||
|
||||
return self.robot_kine_rm.rm_algo_forward_kinematics(joint=q, flag=flag)
|
||||
|
||||
def inverse_kinematics(self, target_position, target_rpy=None, initial_guess=None, tool="ee", work="work"):
|
||||
if tool != self.tool_name:
|
||||
self.tool_name = tool
|
||||
self.cfg_tool_frame(tool)
|
||||
if work != self.work_name:
|
||||
self.work_name = work
|
||||
self.cfg_work_frame(work)
|
||||
|
||||
target = target_position + target_rpy
|
||||
|
||||
if initial_guess is not None:
|
||||
q_ref = initial_guess
|
||||
else:
|
||||
q_ref = [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0]
|
||||
ret, phi = self.robot_kine_rm.rm_algo_calculate_arm_angle_from_config_rm75(q_ref)
|
||||
params = rm_inverse_kinematics_params_t(q_ref,
|
||||
target, 1)
|
||||
ret, q_out = self.robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
|
||||
return ret, q_out
|
||||
Reference in New Issue
Block a user