refine qp based controller
This commit is contained in:
LiuzhengSJ
@ -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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@ -293,7 +308,7 @@ class KinematicsSolver():
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H_triu = sparse.triu(H).tocsc()
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g = -J.T @ self.W @ error_vec
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g = - J.T @ self.W @ error_vec
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# -------------------------
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# Joint velocity constraints
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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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@ -344,181 +371,199 @@ 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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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:
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target_rotation = np.eye(3)
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target_placement = pin.SE3(target_rotation, np.array(target_position))
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# Try multiple initial guesses
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initial_guesses = []
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if initial_guess is not None:
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initial_guesses.append(initial_guess)
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else:
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# Try different initial configurations
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initial_guesses.append([0.1] * 7) # Zero config
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initial_guesses.append([radians(30), radians(45), radians(30),
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radians(-45), radians(30), radians(-30), 0])
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initial_guesses.append([radians(-30), radians(45), radians(-30),
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radians(45), radians(30), radians(30), 0])
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best_solution = None
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best_error = float('inf')
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for guess_idx, guess in enumerate(initial_guesses):
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q = pin.neutral(self.model)
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for i, angle in enumerate(guess):
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if i < len(q):
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q[i] = np.clip(angle, self.model.lowerPositionLimit[i],
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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_reduction = 0.95
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iter_count = 0
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prev_error = float('inf')
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ee_frame_id = self.tool_frames[tool]
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J = pin.computeFrameJacobian(
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self.model,
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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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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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while iter_count < max_iter:
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# Compute forward kinematics
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pin.computeJointJacobians(self.model, self.data, q)
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pin.framesForwardKinematics(self.model, self.data, q)
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# Get current end-effector placement
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current_placement = self.data.oMf[ee_frame_id]
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# Compute error
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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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error_norm = np.linalg.norm(error_vec)
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if error_norm < tolerance:
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joint_angles = q[:7].copy()
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fk_result = self.forward_kinematics(joint_angles, tool=tool)
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position_error = np.linalg.norm(fk_result['position'] - np.array(target_position))
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if position_error < best_error:
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best_error = position_error
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best_solution = joint_angles
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break
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# Check if error is increasing (diverging)
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if error_norm > prev_error * 1.1 and iter_count > 10:
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damping = min(1.0, damping * 1.5)
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else:
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damping = max(0.01, damping * damping_reduction)
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J = pin.getFrameJacobian(
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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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)
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# =========================
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# QP-based IK
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# =========================
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H = J.T @ self.W @ J
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H += damping * damping * np.eye(7)
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H_triu = sparse.triu(H).tocsc()
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g = -J.T @ self.W @ error_vec
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# -------------------------
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# Joint velocity constraints
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# -------------------------
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dq_limit = 0.05 # rad per iteration
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lb = -dq_limit * np.ones(7)
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ub = dq_limit * np.ones(7)
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# -------------------------
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# Joint position constraints
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# -------------------------
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q_min_step = self.model.lowerPositionLimit[:7] - q[:7]
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q_max_step = self.model.upperPositionLimit[:7] - q[:7]
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lb = np.maximum(lb, q_min_step)
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ub = np.minimum(ub, q_max_step)
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# -------------------------
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# Solve QP
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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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q=g,
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l=lb,
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u=ub
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)
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# Solve
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result = self.osqp_solver.solve()
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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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if dq is None:
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break
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# Apply joint limits with scaling
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alpha = 0.5
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q = pin.integrate(self.model, q, alpha * dq)
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prev_error = error_norm
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iter_count += 1
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if best_solution is not None:
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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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#
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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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#
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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:
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# target_rotation = np.eye(3)
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#
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# target_placement = pin.SE3(target_rotation, np.array(target_position))
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#
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# # Try multiple initial guesses
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# initial_guesses = []
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#
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# if initial_guess is not None:
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# initial_guesses.append(initial_guess)
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# else:
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# # Try different initial configurations
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# initial_guesses.append([0.1] * 7) # Zero config
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# initial_guesses.append([radians(30), radians(45), radians(30),
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# radians(-45), radians(30), radians(-30), 0])
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# initial_guesses.append([radians(-30), radians(45), radians(-30),
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# radians(45), radians(30), radians(30), 0])
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#
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# best_solution = None
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# best_error = float('inf')
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#
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# for guess_idx, guess in enumerate(initial_guesses):
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# q = pin.neutral(self.model)
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# for i, angle in enumerate(guess):
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# if i < len(q):
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# q[i] = np.clip(angle, self.model.lowerPositionLimit[i],
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# self.model.upperPositionLimit[i])
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#
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# # Differential IK with adaptive damping
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# damping = 0.01
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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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#
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# ee_frame_id = self.tool_frames[tool]
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#
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# J = pin.computeFrameJacobian(
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# self.model,
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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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# )
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#
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# while iter_count < max_iter:
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# # Compute forward kinematics
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#
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# pin.computeJointJacobians(self.model, self.data, q)
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# pin.framesForwardKinematics(self.model, self.data, q)
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#
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# # Get current end-effector placement
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#
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# current_placement = self.data.oMf[ee_frame_id]
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#
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# # Compute error
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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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# error_norm = np.linalg.norm(error_vec)
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#
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# if error_norm < tolerance:
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# joint_angles = q[:7].copy()
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# fk_result = self.forward_kinematics(joint_angles, tool=tool)
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# position_error = np.linalg.norm(fk_result['position'] - np.array(target_position))
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#
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# if position_error < best_error:
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# best_error = position_error
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# best_solution = joint_angles
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# break
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#
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# # Check if error is increasing (diverging)
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# if error_norm > prev_error * 1.1 and iter_count > 10:
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# damping = min(1.0, damping * 1.5)
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# else:
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# damping = max(0.01, damping * damping_reduction)
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#
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# J = pin.getFrameJacobian(
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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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# )
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#
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# # =========================
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# # QP-based IK
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# # =========================
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#
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# H = J.T @ self.W @ J
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# H += damping * damping * np.eye(7)
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#
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# H_triu = sparse.triu(H).tocsc()
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#
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# g = -J.T @ self.W @ error_vec
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#
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# # -------------------------
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# # Joint velocity constraints
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# # -------------------------
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#
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# dq_limit = 0.05 # rad per iteration
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#
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# lb = -dq_limit * np.ones(7)
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# ub = dq_limit * np.ones(7)
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#
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# # -------------------------
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# # Joint position constraints
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# # -------------------------
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#
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# q_min_step = self.model.lowerPositionLimit[:7] - q[:7]
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# q_max_step = self.model.upperPositionLimit[:7] - q[:7]
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||||
#
|
||||
# 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)"""
|
||||
q = pin.neutral(self.model)
|
||||
@ -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])
|
||||
|
||||
|
||||
Reference in New Issue
Block a user