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Author SHA1 Message Date
377a676863 Update README.md 2026-06-14 04:17:40 +08:00
9db480c474 Upload files to "img" 2026-06-14 04:13:40 +08:00
3a8aecbf71 Update README.md
add visualization
2026-06-09 17:28:57 +08:00
7c8beaa3b9 Upload files to "kine_ctrl/visual/mjc_ik_test1" 2026-06-09 17:23:17 +08:00
2ca5033b46 add urdf files.
aligh the function parameter names of qp and rm methods
2026-06-05 15:25:35 +01:00
aefc7bacd5 update the mjc function names 2026-06-05 10:23:02 +01:00
ddbbb1746e update the comparison results. 2026-06-05 09:56:33 +01:00
48453fa5c8 compare the qp ik and rm ik with joint limits 2026-06-04 21:55:35 +01:00
cee1a191ea compare the qp ik and rm ik 2026-06-04 17:11:02 +01:00
f10152fc29 correct the w_posture 2026-06-04 14:31:29 +01:00
c0458f0e12 run correctly 2026-06-03 21:40:01 +01:00
0bed2f87f4 wrong, not converged 2026-06-03 21:14:34 +01:00
fb64f3c73a refine qp based controller 2026-06-03 20:15:48 +01:00
17 changed files with 949 additions and 422 deletions

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@ -9,6 +9,35 @@ Key specifications:
2. Success rate
3. Minial joint variation.
Next:\
Comparison with Realman official IK method.
Embedded with current demo.
Cost:
<img src="img/cost.jpg" alt="Cost" width="400">
### Comparison (05June2026):
- With current dual arm joint limit,
```
ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0])
lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0])
```
the success rates for **qp-based ik** and **realman Algo ik** are **63%** and **46%**.\
At least one solver works out the ik, rate = **74%**.
- With realman-75 physical joint limit,
```
ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])
lb = -ub
```
the success rates for **qp-based ik** and **realman Algo ik** are **76%** and **51%**.\
At least one solver works out the ik, rate = **84%**.
Visualization:
![demo](kine_ctrl/visual/mjc_ik_test1/mjc_ik.gif)

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@ -1,8 +1,10 @@
# conda activate coppeliasim
# env fix, in terminal: ~/fix_robotics_env.sh
# env fix, in terminal: fix_robotics_env.sh
from rm75_kine_qp import KinematicsSolver as kine_ctrl
from rm75_kine_qp import KinematicsSolver as kine_qp
from rm75_kine_rm import rm75_kine_api as kine_rm
from rm75_mjc import MuJoCoPositionController
from Robotic_Arm.rm_robot_interface import *
@ -10,184 +12,102 @@ import time
from math import radians, degrees, pi, cos, sin
import numpy as np
def demo_position_control():
def main():
"""Demonstrate pure position control"""
urdf_path = "/home/zl/Downloads/urdf_rm75/RM75-B.urdf"
# Create controller
robot_mjk = MuJoCoPositionController(urdf_path, smoothness=0.05, enable_viewer=True)
robot_mjk.start()
time.sleep(1)
print("\n[Test 1] Move joint 1 to 45 degrees")
robot_mjk.send_command([0.785, 0, 0, 0, 0, 0, 0])
robot_mjk.wait_until_reached()
robot_mjk.print_state()
time.sleep(0.5)
print("\n[Test 2] Move joint 2 to -30 degrees")
robot_mjk.send_command([0, -0.524, 0, 0, 0, 0, 0])
robot_mjk.wait_until_reached()
robot_mjk.print_state()
time.sleep(0.5)
print("\n[Test 3] Move multiple joints simultaneously")
robot_mjk.send_command([0.5, -0.4, 0.3, 0.2, 0.1, 0, 0])
robot_mjk.wait_until_reached()
robot_mjk.print_state()
time.sleep(0.5)
print("\n[Test 4] Return home")
robot_mjk.send_command([0, 0, 0, 0, 0, 0, 0])
robot_mjk.wait_until_reached()
robot_mjk.print_state()
robot_kine = kine_ctrl()
# Test 1: Forward Kinematics
print("\n1. Forward Kinematics Test")
print("-" * 40)
robot_mjk = MuJoCoPositionController()
tool_name = "scissor"
joint_angles_zero = [0.1] * 7
fk_result = robot_kine.forward_kinematics(joint_angles_zero, tool=tool_name)
# Test 2: Inverse Kinematics with more reachable target
print("\n2. Inverse Kinematics Test")
print("-" * 40)
# Try a simpler target first
target_pos = [0.3, 0.2, 0.4] # More reachable position
target_rpy = [0.0, 0.0, radians(45)] # Simpler orientation
print(f"Target: ({target_pos[0]:.3f}, {target_pos[1]:.3f}, {target_pos[2]:.3f}) m")
init_joints = [0.2] * 7
time0 = time.time()
for ii in range(100):
joint_solution, success, error = robot_kine.inverse_kinematics(
target_pos, target_rpy=target_rpy, initial_guess=init_joints,
max_iter=500, debug=False, tool=tool_name
)
time1 = time.time()
print(f"Time: {time1 - time0}")
if success:
print(f"✓ Solution found! Error: {error:.6f} m")
for i, angle in enumerate(joint_solution):
print(f" Joint {i + 1}: {degrees(angle):7.2f}°")
# Verify
fk_verify = robot_kine.forward_kinematics(joint_solution,tool=tool_name)
print(
f" Position: ({fk_verify['position'][0]:.3f}, {fk_verify['position'][1]:.3f}, {fk_verify['position'][2]:.3f}) m")
else:
print("✗ IK failed to find a solution!")
# Test 3: Jacobian
print("\n3. Jacobian Matrix")
print("-" * 40)
J = robot_kine.compute_jacobian(joint_angles_zero, tool=tool_name)
print(f"Jacobian shape: {J.shape}")
for i in range(min(3, J.shape[0])):
row_str = " ".join([f"{J[i, j]:7.3f}" for j in range(7)])
print(f" Row {i + 1}: {row_str}")
# Test 4: Trajectory Planning with reachable positions
print("\n4. Cartesian Trajectory Planning")
print("-" * 40)
start_pos = [0.3, 0.0, 0.4] # Start position
end_pos = [0.3, 0.0, 0.55] # End position (smaller movement)
fk0 = robot_kine.forward_kinematics([0.1] * 7, tool=tool_name)
trajectory = robot_kine.plan_cartesian_trajectory(
start_pos,
end_pos,
start_rpy=fk0['rpy'],
end_rpy=[
fk0['rpy'][0] + radians(10),
fk0['rpy'][1],
fk0['rpy'][2]
],
num_steps=10,
tool=tool_name
)
if trajectory:
print(f"\n✓ Generated {len(trajectory)} waypoints")
if success:
print("✓ Inverse kinematics working (with simplified target)")
else:
print("⚠ Inverse kinematics may need tuning - try different targets")
print("\n" + "=" * 60)
print(f'test subchain Jacobian, for future obstacle avoidance')
frame_names = [
"link_2",
"link_4",
"link_7"
]
Js_sub = robot_kine.get_subchain_jacobian(
joint_angles=joint_angles_zero,
frame_names=frame_names
)
print(f'Js_sub: {Js_sub}')
# ----------- rm75 qp based kine ------------
robot_kine_qp = kine_qp()
# ---------- rm75 official algorithm -----------
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
robot_kine_rm = Algo(arm_model, force_type)
frame = rm_frame_t("work", [0.0, 0.0, 0.0, 0.0, 0, 0.0])
robot_kine_rm.rm_algo_set_workframe(frame)
print(robot_kine_rm.rm_algo_get_curr_workframe())
frame = rm_frame_t("work", [0.0, 0.0, 0.0, 0.0, 0, 0.0])
robot_kine_rm.rm_algo_set_toolframe(frame)
print(robot_kine_rm.rm_algo_get_curr_toolframe())
joint_max_limit = np.array([
3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159
])*57
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
robot_kine_rm.rm_algo_set_joint_min_limit(joint_max_limit.tolist())
q_ref = [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0]
ret, phi = robot_kine_rm.rm_algo_calculate_arm_angle_from_config_rm75(q_ref)
params = rm_inverse_kinematics_params_t([0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0],
[0.3, 0.0, 0.3, 3.14, 0.0, 3.14], 1)
ret, q_out = robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
print(f"rm_algo_inverse_kinematics_rm75_for_arm_angle ret: {ret} q_out: {q_out}")
robot_kine_rm = kine_rm()
# -------------- for comparison ----------------
print(f'in the comparison part')
try:
while robot_mjk.viewer and robot_mjk.viewer.is_running():
time.sleep(0.1)
except KeyboardInterrupt:
pass
robot_mjk.stop()
if True:
# ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0])
# lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0])
ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
lb = -ub
robot_kine_qp.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
robot_kine_rm.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
result = np.array([[0,0],[0,0]], dtype=np.int32) # to collect ik result qp_fk, qp_ik, rm_fk, rm_ik
solve_sum = 0
for i in range(10):
print(f'\n-------------- in i = {i} ----------------')
joint_rand = np.random.uniform(ub, lb)
print(f'the predefined joints are {joint_rand}')
# -------------- fk ------------------
fk_qp_p1 = robot_kine_qp.forward_kinematics(joint_angles=joint_rand.tolist(), tool=tool_name)
fk_rm_p1 = robot_kine_rm.forward_kinematics(joint_angles=joint_rand.tolist(), tool=tool_name)
d_fk = cal_pose_deviation(pose1=fk_rm_p1, pose2=fk_qp_p1)
print(f'fk_qp_p1 = {fk_qp_p1}, fk_rm_p1 = {fk_rm_p1}, d_fk = {d_fk}\n')
# ----------- ik ----------------
t_p = fk_rm_p1
joint_rand_init = np.random.uniform(ub, lb)
print(f'the guess is {joint_rand_init}')
def main():
ret_qp, q = robot_kine_qp.inverse_kinematics( target_position=t_p[0:3], target_rpy=t_p[3:6], initial_guess=joint_rand_init, tool=tool_name)
demo_position_control()
if ret_qp == 0:
fk_qp_p2 = robot_kine_qp.forward_kinematics(q, tool=tool_name)
d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_qp_p2)
print(f'-- success, in the qp ik, fk_qp_p2 = {fk_qp_p2}, d_p_ik = {d_p_ik}')
if d_p_ik < 0.01:
result[0][1] += 1
robot_mjk.send_command(q)
robot_mjk.wait_until_reached()
robot_mjk.print_state()
else:
fk_qp_p2 = robot_kine_qp.forward_kinematics(q, tool=tool_name)
d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_qp_p2)
print(f'-- fail, in the qp ik, fk_qp_p2 = {fk_qp_p2}, d_p_ik = {d_p_ik},q = {q}, ret_qp = {ret_qp}')
ret_rm, q = robot_kine_rm.inverse_kinematics(target_position=t_p[0:3], target_rpy=t_p[3:6], initial_guess=joint_rand_init, tool=tool_name)
if ret_rm == 0:
fk_rm_p2 = robot_kine_rm.forward_kinematics(joint_angles=q, tool=tool_name)
d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_rm_p2)
print(f'== sucess, in the rm ik, fk_rm_p2 = {fk_rm_p2}, d_p_ik = {d_p_ik} ,q = {q}, ret_qp = {ret_qp}')
if d_p_ik < 0.01:
result[1][1] += 1
else:
print(f'== fail in the rm ik, ret = {ret_rm}, q = {q}')
if ret_qp == 0 or ret_rm == 0:
solve_sum += 1
print(f'result is {result}')
print(f'solve_sum is {solve_sum}')
def cal_pose_deviation(pose1, pose2):
d_fk_p1 = np.array(pose1) - np.array(pose2)
for j in [3, 4, 5]:
while d_fk_p1[j] > pi:
d_fk_p1[j] -= 2 * pi
while d_fk_p1[j] < -pi:
d_fk_p1[j] += 2 * pi
d_fk = np.linalg.norm(d_fk_p1)
return d_fk

View File

@ -12,12 +12,13 @@ import time
class KinematicsSolver():
def __init__(self,urdf_path="/home/zl/Downloads/urdf_rm75/RM75-B.urdf", mesh_dir="/home/zl/Downloads/meshes"):
def __init__(self,urdf_path="urdf_rm75/RM75-B.urdf", mesh_dir="urdf_rm75"):
"""
for realman 75b
Initialize robotic arm kinematics using Pinocchio (ROS2 version).
unit: m, rad
"""
print(f' ------------ the qp based kinematic initialising -----------')
self.model, collision_model, visual_model = pin.buildModelsFromUrdf(urdf_path, mesh_dir)
# -------------------------------------------------
@ -44,7 +45,7 @@ class KinematicsSolver():
)
self.model.addFrame(
pin.Frame(
"scissor_tcp",
"scissor",
self.model.getJointId("joint_7"),
self.model.getFrameId("link_7"),
scissor_offset,
@ -66,7 +67,7 @@ class KinematicsSolver():
)
self.model.addFrame(
pin.Frame(
"camera_frame",
"camera",
self.model.getJointId("joint_7"),
self.model.getFrameId("link_7"),
camera_offset,
@ -79,8 +80,8 @@ class KinematicsSolver():
# -------------------------------------------------
self.tool_frames = {
"scissor": self.model.getFrameId("scissor_tcp"),
"camera": self.model.getFrameId("camera_frame"),
"scissor": self.model.getFrameId("scissor"),
"camera": self.model.getFrameId("camera"),
"ee": self.model.getFrameId("ee")
}
@ -89,26 +90,16 @@ class KinematicsSolver():
self.data = self.model.createData()
# Joint limits (radians) - expanded for better reachability
self.lower_limits = np.array([
-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159
])
self.upper_limits = np.array([
3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159
])
# Set joint limits in the model
for i in range(7):
self.model.lowerPositionLimit[i] = self.lower_limits[i]
self.model.upperPositionLimit[i] = self.upper_limits[i]
self.cfg_j_limit()
# ---------- for reused qp_solver ------------------
self.nv = 7
# Full dense symmetric matrix structure
P_template = np.triu(np.ones((7, 7)))
# P_template = np.triu(np.ones((7, 7)))
self.P_pattern = sparse.triu(np.ones((7,7))).tocsc()
P_sparse = sparse.csc_matrix(P_template)
P_sparse = sparse.csc_matrix(self.P_pattern)
A_sparse = sparse.eye(7, format='csc')
@ -125,8 +116,21 @@ class KinematicsSolver():
polish=False
)
self.W = np.diag([1, 1, 1, 0.2, 0.2, 0.2])
self.W = np.diag([1, 1, 1, 0.4, 0.4, 0.4])
def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
if min_j is None:
min_j = [-3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -6.14159]
if max_j is None:
max_j = [3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 6.14159]
if rad_flag:
for i in range(7):
self.model.lowerPositionLimit[i] = min_j[i]
self.model.upperPositionLimit[i] = max_j[i]
else:
for i in range(7):
self.model.lowerPositionLimit[i] = min_j[i] / 180 * pi
self.model.upperPositionLimit[i] = max_j[i] / 180 * pi
def forward_kinematics(self, joint_angles, tool="ee"):
"""
@ -138,6 +142,8 @@ class KinematicsSolver():
Returns:
dict: Position, rotation, rpy, quaternion
unit: position: m
rpy: rad
"""
if len(joint_angles) != 7:
raise ValueError(f"RM75 has 7 joints, got {len(joint_angles)}")
@ -163,19 +169,20 @@ class KinematicsSolver():
rpy = pin.rpy.matrixToRpy(rotation)
# Compute quaternion
quat = pin.Quaternion(rotation)
return {
'position': position,
'rotation': rotation,
'rpy': rpy,
'quaternion': [quat.x, quat.y, quat.z, quat.w],
'transform': frame_transform
}
# quat = pin.Quaternion(rotation)
pose = np.concatenate([position, rpy], axis=0)
return pose
# return {
# 'position': position,
# # 'rotation': rotation,
# 'rpy': rpy,
# 'quaternion': [quat.x, quat.y, quat.z, quat.w],
# # 'transform': frame_transform
# }
def inverse_kinematics(self, target_position, target_rpy=None,
target_quat=None, initial_guess=None,
max_iter=200, tolerance=1e-3, debug=False, tool="ee"):
max_iter=500, tolerance=5e-3, debug=False, tool="ee"):
"""
Compute inverse kinematics using differential IK with multiple strategies.
@ -214,10 +221,7 @@ class KinematicsSolver():
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')
@ -228,9 +232,10 @@ class KinematicsSolver():
if i < len(q):
q[i] = np.clip(angle, self.model.lowerPositionLimit[i],
self.model.upperPositionLimit[i])
q_ref = q.copy()
# Differential IK with adaptive damping
damping = 0.01
damping = 0.1
damping_reduction = 0.95
iter_count = 0
prev_error = float('inf')
@ -242,9 +247,20 @@ class KinematicsSolver():
self.data,
q,
ee_frame_id,
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
pin.ReferenceFrame.LOCAL
)
pin.forwardKinematics(self.model, self.data, q)
pin.updateFramePlacements(self.model, self.data)
current_placement = self.data.oMf[ee_frame_id]
error_SE3 = current_placement.actInv(target_placement)
error_vec = pin.log(error_SE3).vector
# print("\n initial error =", np.linalg.norm(error_vec))
# print(error_vec)
while iter_count < max_iter:
# Compute forward kinematics
@ -252,7 +268,6 @@ class KinematicsSolver():
pin.framesForwardKinematics(self.model, self.data, q)
# Get current end-effector placement
current_placement = self.data.oMf[ee_frame_id]
# Compute error
@ -261,13 +276,9 @@ class KinematicsSolver():
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
if error_norm < best_error:
best_error = error_norm
best_solution = q[:7].copy()
break
# Check if error is increasing (diverging)
@ -281,19 +292,28 @@ class KinematicsSolver():
self.model,
self.data,
ee_frame_id,
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
pin.ReferenceFrame.LOCAL
)
# =========================
# QP-based IK
# =========================
w_posture = 0.0001
H = J.T @ self.W @ J
J_eff = pin.Jlog6(error_SE3) @ J #J #
H = J_eff.T @ self.W @ J_eff
# H = J.T @ self.W @ J
H += damping * damping * np.eye(7)
H += w_posture * np.eye(7)
H_triu = sparse.triu(H).tocsc()
g = -J.T @ self.W @ error_vec
g = -J_eff.T @ self.W @ error_vec
g += w_posture * (q[:7] - q_ref[:7])
# g = - J.T @ self.W @ error_vec
# -------------------------
# Joint velocity constraints
@ -319,7 +339,7 @@ class KinematicsSolver():
# ------------------------
# Update solver
self.osqp_solver.update(
Px=H_triu.data,
Px= H_triu.data, #H[np.triu_indices(7)], #
q=g,
l=lb,
u=ub
@ -327,178 +347,6 @@ class KinematicsSolver():
# 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
@ -508,16 +356,188 @@ class KinematicsSolver():
break
# Apply joint limits with scaling
alpha = 0.5
alpha = 1.0
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
# return best_solution, True, best_error, iter_count
return 0, best_solution
else:
return None, False, None
# return q[:7].copy(), False, error_norm, iter_count
return -1, q[:7].copy()
# 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 +577,7 @@ class KinematicsSolver():
self.model,
self.data,
frame_id,
pin.ReferenceFrame.LOCAL_WORLD_ALIGNED
pin.ReferenceFrame.LOCAL
)
Js.append(J[:, active_joints])

97
kine_ctrl/rm75_kine_rm.py Normal file
View File

@ -0,0 +1,97 @@
from Robotic_Arm.rm_robot_interface import *
import numpy as np
import math
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.cfg_j_limit()
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_j_limit(self, min_j=None, max_j=None, rad_flag = True):
if max_j is None:
max_j = np.array([3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159])
if min_j is None:
min_j = np.array([ -3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159 ])
if rad_flag:
self.robot_kine_rm.rm_algo_set_joint_max_limit((max_j * 180 / math.pi).tolist())
self.robot_kine_rm.rm_algo_set_joint_min_limit((min_j * 180 / math.pi).tolist())
else:
self.robot_kine_rm.rm_algo_set_joint_max_limit(max_j.tolist())
self.robot_kine_rm.rm_algo_set_joint_min_limit(min_j.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, joint_angles, flag = 1 , tool="ee", work="work"):
'''
:param joint_angles: list of joint values, in rad
:param flag: 0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
:param return: [x,y,z,rx,ry,rz], m & rad
'''
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_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="ee", work="work"):
'''
:param target_position: list of position values, m
:param target_rpy: list of rpy values, rad
:param initial_guess: initial guess of angles, rad
:param tool: tool name, refer to self.tool_frames
:param work: work name, refer to self.work_frames
return ret: state of ik calculation, 0:success, -2: out of workspace
[q_]: the ik calculated angles for joints, rad
'''
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 = [ 180/math.pi * ig for ig in 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/180*math.pi for q in q_out]

View File

@ -18,7 +18,7 @@ class MuJoCoPositionController:
No velocity commands, no forces - completely stable
"""
def __init__(self, urdf_path, smoothness=0.2, enable_viewer=True):
def __init__(self, urdf_path="./urdf_rm75/RM75-B.urdf", smoothness=0.05, enable_viewer=True):
"""
Args:
urdf_path: Path to URDF file
@ -48,8 +48,8 @@ class MuJoCoPositionController:
print(
f" {self.model.joint(i).name}: limit [{self.joint_lower_limits[i]:.2f}, {self.joint_upper_limits[i]:.2f}]")
# Target positions (in radians)
self.target_positions = self.data.qpos[:self.n_joints].copy()
# Target joint angles (in radians)
self.target_joints = self.data.qpos[:self.n_joints].copy()
# Smoothing factor (0-1, lower = smoother)
self.smoothness = smoothness
@ -57,9 +57,9 @@ class MuJoCoPositionController:
# Thread safety
self.command_lock = threading.Lock()
self.feedback_lock = threading.Lock()
self.current_feedback = self.data.qpos[:self.n_joints].copy()
self.current_feedback_joint = self.data.qpos[:self.n_joints].copy()
self.max_pos_inc = 0.02
self.max_ang_inc = 0.02
# Control flags
self.running = False
@ -73,8 +73,7 @@ class MuJoCoPositionController:
print("Viewer launched")
except Exception as e:
print(f"Viewer warning: {e}")
print("Robot controller ready - Pure Position Mode")
self.start()
def start(self):
"""Start the simulation thread"""
@ -109,17 +108,17 @@ class MuJoCoPositionController:
cmd[i] = np.clip(cmd[i], self.joint_lower_limits[i], self.joint_upper_limits[i])
with self.command_lock:
self.target_positions = cmd
self.target_joints = cmd
def get_feedback(self):
"""Get current joint positions"""
with self.feedback_lock:
return self.current_feedback.copy()
return self.current_feedback_joint.copy()
def get_target(self):
"""Get current target positions"""
with self.command_lock:
return self.target_positions.copy()
return self.target_joints.copy()
def _simulation_loop(self):
"""
@ -129,24 +128,24 @@ class MuJoCoPositionController:
last_time = time.time()
# For smooth interpolation
current_positions = self.data.qpos[:self.n_joints].copy()
current_joints = self.data.qpos[:self.n_joints].copy()
while self.running:
# Get target command
with self.command_lock:
target = self.target_positions.copy()
target = self.target_joints.copy()
# Get current positions
current_positions = self.data.qpos[:self.n_joints].copy()
current_joints = self.data.qpos[:self.n_joints].copy()
# Smooth interpolation toward target
# This creates natural motion without velocity commands
alpha = self.smoothness
next_positions = current_positions + np.clip(alpha * (target - current_positions) , -self.max_pos_inc, self.max_pos_inc)
next_joints = current_joints + np.clip(alpha * (target - current_joints) , -self.max_ang_inc, self.max_ang_inc)
# DIRECT POSITION CONTROL - Set joint positions
self.data.qpos[:self.n_joints] = next_positions
self.data.qpos[:self.n_joints] = next_joints
# IMPORTANT: Set velocities to zero to prevent physics from moving joints
# This ensures pure kinematic control
@ -157,12 +156,12 @@ class MuJoCoPositionController:
# After step, ensure our joint positions are maintained
# (Physics might have altered them slightly)
self.data.qpos[:self.n_joints] = next_positions
self.data.qpos[:self.n_joints] = next_joints
self.data.qvel[:self.n_joints] = 0
# Update feedback
with self.feedback_lock:
self.current_feedback = self.data.qpos[:self.n_joints].copy()
self.current_feedback_joint = self.data.qpos[:self.n_joints].copy()
# Sync viewer
if self.viewer:
@ -175,20 +174,20 @@ class MuJoCoPositionController:
time.sleep(sleep_time)
last_time = time.time()
def move_to_position(self, target, duration=1.0):
def move_to_joints(self, target, duration=1.0):
"""
Move to target position over specified duration
Move to target joints over specified duration
Args:
target: Target joint positions
target: Target joint joints
duration: Time to complete movement (seconds)
"""
start_pos = self.get_feedback()
end_pos = np.array(target[:self.n_joints])
start_js = self.get_feedback()
end_js = np.array(target[:self.n_joints])
# Apply limits
for i in range(self.n_joints):
end_pos[i] = np.clip(end_pos[i], self.joint_lower_limits[i], self.joint_upper_limits[i])
end_js[i] = np.clip(end_js[i], self.joint_lower_limits[i], self.joint_upper_limits[i])
n_steps = int(duration / self.time_interval)
@ -198,15 +197,15 @@ class MuJoCoPositionController:
alpha = (step + 1) / n_steps
# Use easing for smoother motion
ease_alpha = 1 - (1 - alpha) ** 2 # Quadratic ease-out
current_target = start_pos + ease_alpha * (end_pos - start_pos)
current_target = start_js + ease_alpha * (end_js - start_js)
self.send_command(current_target)
time.sleep(self.time_interval)
# Ensure exact target
self.send_command(end_pos)
self.send_command(end_js)
time.sleep(0.1)
def wait_until_reached(self, tolerance=0.01, timeout=5.0):
def wait_until_reached(self, tolerance=0.01, timeout=10.0):
"""
Wait until robot reaches target position
@ -230,10 +229,10 @@ class MuJoCoPositionController:
def print_state(self):
"""Print current robot state"""
positions = self.get_feedback()
joints = self.get_feedback()
target = self.get_target()
print("Current positions:", [f"{p:.3f}" for p in positions[:4]], "...")
print("Target positions: ", [f"{t:.3f}" for t in target[:4]], "...")
print("Current joints (rad):", [f"{p:.3f}" for p in joints], "...")
print("Target joints (rad): ", [f"{t:.3f}" for t in target], "...")
# Demo

View File

@ -0,0 +1,9 @@
Link Name,Center of Mass X,Center of Mass Y,Center of Mass Z,Center of Mass Roll,Center of Mass Pitch,Center of Mass Yaw,Mass,Moment Ixx,Moment Ixy,Moment Ixz,Moment Iyy,Moment Iyz,Moment Izz,Visual X,Visual Y,Visual Z,Visual Roll,Visual Pitch,Visual Yaw,Mesh Filename,Color Red,Color Green,Color Blue,Color Alpha,Collision X,Collision Y,Collision Z,Collision Roll,Collision Pitch,Collision Yaw,Collision Mesh Filename,Material Name,SW Components,Coordinate System,Axis Name,Joint Name,Joint Type,Joint Origin X,Joint Origin Y,Joint Origin Z,Joint Origin Roll,Joint Origin Pitch,Joint Origin Yaw,Parent,Joint Axis X,Joint Axis Y,Joint Axis Z,Limit Effort,Limit Velocity,Limit Lower,Limit Upper,Calibration rising,Calibration falling,Dynamics Damping,Dynamics Friction,Safety Soft Upper,Safety Soft Lower,Safety K Position,Safety K Velocity
base_link,0.00049987,5.2709E-05,0.060019,0,0,0,0.83887,0.0017232,-3.1058E-06,-3.7924E-05,0.0017051,1.3691E-06,0.00090158,0,0,0,0,0,0,package://RM75-B/meshes/base_link.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/base_link.STL,,连杆1-1,base_link,,,,0,0,0,0,0,0,,0,0,0,,,,,,,,,,,,
link_1,1.4803E-07,-0.021108,-0.025186,0,0,0,0.59354,0.0012661,6.0354E-09,-6.3788E-09,0.0011817,-0.00021121,0.00056132,0,0,0,0,0,0,package://RM75-B/meshes/link_1.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_1.STL,,连杆2-1,link_1,joint_1,joint_1,revolute,0,0,0.2405,0,0,0,base_link,0,0,1,60,3.14,-3.106,3.106,,,,,,,,
link_2,4.2145E-07,-0.076129,0.011078,0,0,0,0.43285,0.0012584,1.4694E-09,-5.7413E-09,0.00031747,0.000279,0.0012225,0,0,0,0,0,0,package://RM75-B/meshes/link_2.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_2.STL,,连杆3-1,link_2,joint_2,joint_2,revolute,0,0,0,-1.5708,0,0,link_1,0,0,1,60,3.14,-2.2689,2.2689,,,,,,,,
link_3,-3.2093E-07,-0.023545,-0.027347,0,0,0,0.43132,0.00079433,1.02E-09,1.3908E-08,0.00073037,-0.00014262,0.00031507,0,0,0,0,0,0,package://RM75-B/meshes/link_3.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_3.STL,,连杆4-1,link_3,joint_3,joint_3,revolute,0,-0.256,0,1.5708,0,0,link_2,0,0,1,30,3.14,-3.106,3.106,,,,,,,,
link_4,5.0722E-06,-0.059593,0.010569,0,0,0,0.28963,0.00063737,7.0681E-08,3.8708E-08,0.00015648,0.00014461,0.00061418,0,0,0,0,0,0,package://RM75-B/meshes/link_4.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_4.STL,,连杆5-1,link_4,joint_4,joint_4,revolute,0,0,0,-1.5708,0,0,link_3,0,0,1,30,3.14,-2.356,2.356,,,,,,,,
link_5,2.7551E-07,-0.018042,-0.02154,0,0,0,0.23942,0.00028595,1.9823E-09,-1.192E-09,0.00026273,-4.424E-05,0.0001199,0,0,0,0,0,0,package://RM75-B/meshes/link_5.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_5.STL,,连杆6-1,link_5,joint_5,joint_5,revolute,0,-0.21,0,1.5708,0,0,link_4,0,0,1,10,3.14,-3.106,3.106,,,,,,,,
link_6,3.4947E-06,-0.059381,0.0073681,0,0,0,0.2188,0.00035054,3.4456E-08,1.7975E-08,0.00010493,7.8243E-05,0.00033448,0,0,0,0,0,0,package://RM75-B/meshes/link_6.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_6.STL,,连杆7-1,link_6,joint_6,joint_6,revolute,0,0,0,-1.5708,0,0,link_5,0,0,1,10,3.14,-2.234,2.234,,,,,,,,
link_7,0.00081557,1.3323E-05,-0.012705,0,0,0,0.065037,2.1144E-05,2.2774E-08,2.5471E-08,1.8109E-05,1.019E-08,3.19E-05,0,0,0,0,0,0,package://RM75-B/meshes/link_7.STL,1,1,1,1,0,0,0,0,0,0,package://RM75-B/meshes/link_7.STL,,末端法兰件 方案一-1,link_7,joint_7,joint_7,revolute,0,-0.144,0,1.5708,0,0,link_6,0,0,1,10,3.14,-6.28,6.28,,,,,,,,
1 Link Name Center of Mass X Center of Mass Y Center of Mass Z Center of Mass Roll Center of Mass Pitch Center of Mass Yaw Mass Moment Ixx Moment Ixy Moment Ixz Moment Iyy Moment Iyz Moment Izz Visual X Visual Y Visual Z Visual Roll Visual Pitch Visual Yaw Mesh Filename Color Red Color Green Color Blue Color Alpha Collision X Collision Y Collision Z Collision Roll Collision Pitch Collision Yaw Collision Mesh Filename Material Name SW Components Coordinate System Axis Name Joint Name Joint Type Joint Origin X Joint Origin Y Joint Origin Z Joint Origin Roll Joint Origin Pitch Joint Origin Yaw Parent Joint Axis X Joint Axis Y Joint Axis Z Limit Effort Limit Velocity Limit Lower Limit Upper Calibration rising Calibration falling Dynamics Damping Dynamics Friction Safety Soft Upper Safety Soft Lower Safety K Position Safety K Velocity
2 base_link 0.00049987 5.2709E-05 0.060019 0 0 0 0.83887 0.0017232 -3.1058E-06 -3.7924E-05 0.0017051 1.3691E-06 0.00090158 0 0 0 0 0 0 package://RM75-B/meshes/base_link.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/base_link.STL 连杆1-1 base_link 0 0 0 0 0 0 0 0 0
3 link_1 1.4803E-07 -0.021108 -0.025186 0 0 0 0.59354 0.0012661 6.0354E-09 -6.3788E-09 0.0011817 -0.00021121 0.00056132 0 0 0 0 0 0 package://RM75-B/meshes/link_1.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_1.STL 连杆2-1 link_1 joint_1 joint_1 revolute 0 0 0.2405 0 0 0 base_link 0 0 1 60 3.14 -3.106 3.106
4 link_2 4.2145E-07 -0.076129 0.011078 0 0 0 0.43285 0.0012584 1.4694E-09 -5.7413E-09 0.00031747 0.000279 0.0012225 0 0 0 0 0 0 package://RM75-B/meshes/link_2.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_2.STL 连杆3-1 link_2 joint_2 joint_2 revolute 0 0 0 -1.5708 0 0 link_1 0 0 1 60 3.14 -2.2689 2.2689
5 link_3 -3.2093E-07 -0.023545 -0.027347 0 0 0 0.43132 0.00079433 1.02E-09 1.3908E-08 0.00073037 -0.00014262 0.00031507 0 0 0 0 0 0 package://RM75-B/meshes/link_3.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_3.STL 连杆4-1 link_3 joint_3 joint_3 revolute 0 -0.256 0 1.5708 0 0 link_2 0 0 1 30 3.14 -3.106 3.106
6 link_4 5.0722E-06 -0.059593 0.010569 0 0 0 0.28963 0.00063737 7.0681E-08 3.8708E-08 0.00015648 0.00014461 0.00061418 0 0 0 0 0 0 package://RM75-B/meshes/link_4.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_4.STL 连杆5-1 link_4 joint_4 joint_4 revolute 0 0 0 -1.5708 0 0 link_3 0 0 1 30 3.14 -2.356 2.356
7 link_5 2.7551E-07 -0.018042 -0.02154 0 0 0 0.23942 0.00028595 1.9823E-09 -1.192E-09 0.00026273 -4.424E-05 0.0001199 0 0 0 0 0 0 package://RM75-B/meshes/link_5.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_5.STL 连杆6-1 link_5 joint_5 joint_5 revolute 0 -0.21 0 1.5708 0 0 link_4 0 0 1 10 3.14 -3.106 3.106
8 link_6 3.4947E-06 -0.059381 0.0073681 0 0 0 0.2188 0.00035054 3.4456E-08 1.7975E-08 0.00010493 7.8243E-05 0.00033448 0 0 0 0 0 0 package://RM75-B/meshes/link_6.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_6.STL 连杆7-1 link_6 joint_6 joint_6 revolute 0 0 0 -1.5708 0 0 link_5 0 0 1 10 3.14 -2.234 2.234
9 link_7 0.00081557 1.3323E-05 -0.012705 0 0 0 0.065037 2.1144E-05 2.2774E-08 2.5471E-08 1.8109E-05 1.019E-08 3.19E-05 0 0 0 0 0 0 package://RM75-B/meshes/link_7.STL 1 1 1 1 0 0 0 0 0 0 package://RM75-B/meshes/link_7.STL 末端法兰件 方案一-1 link_7 joint_7 joint_7 revolute 0 -0.144 0 1.5708 0 0 link_6 0 0 1 10 3.14 -6.28 6.28

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<!-- This URDF was automatically created by SolidWorks to URDF Exporter! Originally created by Stephen Brawner (brawner@gmail.com)
Commit Version: 1.6.0-1-g15f4949 Build Version: 1.6.7594.29634
For more information, please see http://wiki.ros.org/sw_urdf_exporter -->
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