# Copyright (c) 2022-2026, The Isaac Lab Project Developers (https://github.com/isaac-sim/IsaacLab/blob/main/CONTRIBUTORS.md). # All rights reserved. # # SPDX-License-Identifier: BSD-3-Clause """ This script demonstrates how to use the operational space controller (OSC) with the simulator. The OSC controller can be configured in different modes. It uses the dynamical quantities such as Jacobians and mass matricescomputed by PhysX. .. code-block:: bash # Usage ./isaaclab.sh -p scripts/tutorials/05_controllers/run_osc.py """ """Launch Isaac Sim Simulator first.""" import argparse from isaaclab.app import AppLauncher # add argparse arguments parser = argparse.ArgumentParser(description="Tutorial on using the operational space controller.") parser.add_argument("--num_envs", type=int, default=128, help="Number of environments to spawn.") # append AppLauncher cli args AppLauncher.add_app_launcher_args(parser) # parse the arguments args_cli = parser.parse_args() # launch omniverse app app_launcher = AppLauncher(args_cli) simulation_app = app_launcher.app """Rest everything follows.""" import torch import isaaclab.sim as sim_utils from isaaclab.assets import Articulation, AssetBaseCfg from isaaclab.controllers import OperationalSpaceController, OperationalSpaceControllerCfg from isaaclab.markers import VisualizationMarkers from isaaclab.markers.config import FRAME_MARKER_CFG from isaaclab.scene import InteractiveScene, InteractiveSceneCfg from isaaclab.sensors import ContactSensorCfg from isaaclab.utils import configclass from isaaclab.utils.math import ( combine_frame_transforms, matrix_from_quat, quat_apply_inverse, quat_inv, subtract_frame_transforms, ) ## # Pre-defined configs ## from isaaclab_assets import FRANKA_PANDA_HIGH_PD_CFG # isort:skip @configclass class SceneCfg(InteractiveSceneCfg): """Configuration for a simple scene with a tilted wall.""" # ground plane ground = AssetBaseCfg( prim_path="/World/defaultGroundPlane", spawn=sim_utils.GroundPlaneCfg(), ) # lights dome_light = AssetBaseCfg( prim_path="/World/Light", spawn=sim_utils.DomeLightCfg(intensity=3000.0, color=(0.75, 0.75, 0.75)) ) # Tilted wall tilted_wall = AssetBaseCfg( prim_path="{ENV_REGEX_NS}/TiltedWall", spawn=sim_utils.CuboidCfg( size=(2.0, 1.5, 0.01), collision_props=sim_utils.CollisionPropertiesCfg(), visual_material=sim_utils.PreviewSurfaceCfg(diffuse_color=(1.0, 0.0, 0.0), opacity=0.1), rigid_props=sim_utils.RigidBodyPropertiesCfg(kinematic_enabled=True), activate_contact_sensors=True, ), init_state=AssetBaseCfg.InitialStateCfg( pos=(0.6 + 0.085, 0.0, 0.3), rot=(0.9238795325, 0.0, -0.3826834324, 0.0) ), ) contact_forces = ContactSensorCfg( prim_path="/World/envs/env_.*/TiltedWall", update_period=0.0, history_length=2, debug_vis=False, ) robot = FRANKA_PANDA_HIGH_PD_CFG.replace(prim_path="{ENV_REGEX_NS}/Robot") robot.actuators["panda_shoulder"].stiffness = 0.0 robot.actuators["panda_shoulder"].damping = 0.0 robot.actuators["panda_forearm"].stiffness = 0.0 robot.actuators["panda_forearm"].damping = 0.0 robot.spawn.rigid_props.disable_gravity = True def run_simulator(sim: sim_utils.SimulationContext, scene: InteractiveScene): """Runs the simulation loop. Args: sim: (SimulationContext) Simulation context. scene: (InteractiveScene) Interactive scene. """ # Extract scene entities for readability. robot = scene["robot"] contact_forces = scene["contact_forces"] # Obtain indices for the end-effector and arm joints ee_frame_name = "panda_leftfinger" arm_joint_names = ["panda_joint.*"] ee_frame_idx = robot.find_bodies(ee_frame_name)[0][0] arm_joint_ids = robot.find_joints(arm_joint_names)[0] # Create the OSC osc_cfg = OperationalSpaceControllerCfg( target_types=["pose_abs", "wrench_abs"], impedance_mode="variable_kp", inertial_dynamics_decoupling=True, partial_inertial_dynamics_decoupling=False, gravity_compensation=False, motion_damping_ratio_task=1.0, contact_wrench_stiffness_task=[0.0, 0.0, 0.1, 0.0, 0.0, 0.0], motion_control_axes_task=[1, 1, 0, 1, 1, 1], contact_wrench_control_axes_task=[0, 0, 1, 0, 0, 0], nullspace_control="position", ) osc = OperationalSpaceController(osc_cfg, num_envs=scene.num_envs, device=sim.device) # Markers frame_marker_cfg = FRAME_MARKER_CFG.copy() frame_marker_cfg.markers["frame"].scale = (0.1, 0.1, 0.1) ee_marker = VisualizationMarkers(frame_marker_cfg.replace(prim_path="/Visuals/ee_current")) goal_marker = VisualizationMarkers(frame_marker_cfg.replace(prim_path="/Visuals/ee_goal")) # Define targets for the arm ee_goal_pose_set_tilted_b = torch.tensor( [ [0.6, 0.15, 0.3, 0.0, 0.92387953, 0.0, 0.38268343], [0.6, -0.3, 0.3, 0.0, 0.92387953, 0.0, 0.38268343], [0.8, 0.0, 0.5, 0.0, 0.92387953, 0.0, 0.38268343], ], device=sim.device, ) ee_goal_wrench_set_tilted_task = torch.tensor( [ [0.0, 0.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 0.0, 0.0, 0.0], ], device=sim.device, ) kp_set_task = torch.tensor( [ [360.0, 360.0, 360.0, 360.0, 360.0, 360.0], [420.0, 420.0, 420.0, 420.0, 420.0, 420.0], [320.0, 320.0, 320.0, 320.0, 320.0, 320.0], ], device=sim.device, ) ee_target_set = torch.cat([ee_goal_pose_set_tilted_b, ee_goal_wrench_set_tilted_task, kp_set_task], dim=-1) # Define simulation stepping sim_dt = sim.get_physics_dt() # Update existing buffers # Note: We need to update buffers before the first step for the controller. robot.update(dt=sim_dt) # Get the center of the robot soft joint limits joint_centers = torch.mean(robot.data.soft_joint_pos_limits[:, arm_joint_ids, :], dim=-1) # get the updated states ( jacobian_b, mass_matrix, gravity, ee_pose_b, ee_vel_b, root_pose_w, ee_pose_w, ee_force_b, joint_pos, joint_vel, ) = update_states(sim, scene, robot, ee_frame_idx, arm_joint_ids, contact_forces) # Track the given target command current_goal_idx = 0 # Current goal index for the arm command = torch.zeros( scene.num_envs, osc.action_dim, device=sim.device ) # Generic target command, which can be pose, position, force, etc. ee_target_pose_b = torch.zeros(scene.num_envs, 7, device=sim.device) # Target pose in the body frame ee_target_pose_w = torch.zeros(scene.num_envs, 7, device=sim.device) # Target pose in the world frame (for marker) # Set joint efforts to zero zero_joint_efforts = torch.zeros(scene.num_envs, robot.num_joints, device=sim.device) joint_efforts = torch.zeros(scene.num_envs, len(arm_joint_ids), device=sim.device) count = 0 # Simulation loop while simulation_app.is_running(): # reset every 500 steps if count % 500 == 0: # reset joint state to default default_joint_pos = robot.data.default_joint_pos.clone() default_joint_vel = robot.data.default_joint_vel.clone() robot.write_joint_state_to_sim(default_joint_pos, default_joint_vel) robot.set_joint_effort_target(zero_joint_efforts) # Set zero torques in the initial step robot.write_data_to_sim() robot.reset() # reset contact sensor contact_forces.reset() # reset target pose robot.update(sim_dt) _, _, _, ee_pose_b, _, _, _, _, _, _ = update_states( sim, scene, robot, ee_frame_idx, arm_joint_ids, contact_forces ) # at reset, the jacobians are not updated to the latest state command, ee_target_pose_b, ee_target_pose_w, current_goal_idx = update_target( sim, scene, osc, root_pose_w, ee_target_set, current_goal_idx ) # set the osc command osc.reset() command, task_frame_pose_b = convert_to_task_frame(osc, command=command, ee_target_pose_b=ee_target_pose_b) osc.set_command(command=command, current_ee_pose_b=ee_pose_b, current_task_frame_pose_b=task_frame_pose_b) else: # get the updated states ( jacobian_b, mass_matrix, gravity, ee_pose_b, ee_vel_b, root_pose_w, ee_pose_w, ee_force_b, joint_pos, joint_vel, ) = update_states(sim, scene, robot, ee_frame_idx, arm_joint_ids, contact_forces) # compute the joint commands joint_efforts = osc.compute( jacobian_b=jacobian_b, current_ee_pose_b=ee_pose_b, current_ee_vel_b=ee_vel_b, current_ee_force_b=ee_force_b, mass_matrix=mass_matrix, gravity=gravity, current_joint_pos=joint_pos, current_joint_vel=joint_vel, nullspace_joint_pos_target=joint_centers, ) # apply actions robot.set_joint_effort_target(joint_efforts, joint_ids=arm_joint_ids) robot.write_data_to_sim() # update marker positions ee_marker.visualize(ee_pose_w[:, 0:3], ee_pose_w[:, 3:7]) goal_marker.visualize(ee_target_pose_w[:, 0:3], ee_target_pose_w[:, 3:7]) # perform step sim.step(render=True) # update robot buffers robot.update(sim_dt) # update buffers scene.update(sim_dt) # update sim-time count += 1 # Update robot states def update_states( sim: sim_utils.SimulationContext, scene: InteractiveScene, robot: Articulation, ee_frame_idx: int, arm_joint_ids: list[int], contact_forces, ): """Update the robot states. Args: sim: (SimulationContext) Simulation context. scene: (InteractiveScene) Interactive scene. robot: (Articulation) Robot articulation. ee_frame_idx: (int) End-effector frame index. arm_joint_ids: (list[int]) Arm joint indices. contact_forces: (ContactSensor) Contact sensor. Returns: jacobian_b (torch.tensor): Jacobian in the body frame. mass_matrix (torch.tensor): Mass matrix. gravity (torch.tensor): Gravity vector. ee_pose_b (torch.tensor): End-effector pose in the body frame. ee_vel_b (torch.tensor): End-effector velocity in the body frame. root_pose_w (torch.tensor): Root pose in the world frame. ee_pose_w (torch.tensor): End-effector pose in the world frame. ee_force_b (torch.tensor): End-effector force in the body frame. joint_pos (torch.tensor): The joint positions. joint_vel (torch.tensor): The joint velocities. Raises: ValueError: Undefined target_type. """ # obtain dynamics related quantities from simulation ee_jacobi_idx = ee_frame_idx - 1 jacobian_w = robot.root_physx_view.get_jacobians()[:, ee_jacobi_idx, :, arm_joint_ids] mass_matrix = robot.root_physx_view.get_generalized_mass_matrices()[:, arm_joint_ids, :][:, :, arm_joint_ids] gravity = robot.root_physx_view.get_gravity_compensation_forces()[:, arm_joint_ids] # Convert the Jacobian from world to root frame jacobian_b = jacobian_w.clone() root_rot_matrix = matrix_from_quat(quat_inv(robot.data.root_quat_w)) jacobian_b[:, :3, :] = torch.bmm(root_rot_matrix, jacobian_b[:, :3, :]) jacobian_b[:, 3:, :] = torch.bmm(root_rot_matrix, jacobian_b[:, 3:, :]) # Compute current pose of the end-effector root_pos_w = robot.data.root_pos_w root_quat_w = robot.data.root_quat_w ee_pos_w = robot.data.body_pos_w[:, ee_frame_idx] ee_quat_w = robot.data.body_quat_w[:, ee_frame_idx] ee_pos_b, ee_quat_b = subtract_frame_transforms(root_pos_w, root_quat_w, ee_pos_w, ee_quat_w) root_pose_w = torch.cat([root_pos_w, root_quat_w], dim=-1) ee_pose_w = torch.cat([ee_pos_w, ee_quat_w], dim=-1) ee_pose_b = torch.cat([ee_pos_b, ee_quat_b], dim=-1) # Compute the current velocity of the end-effector ee_vel_w = robot.data.body_vel_w[:, ee_frame_idx, :] # Extract end-effector velocity in the world frame root_vel_w = robot.data.root_vel_w # Extract root velocity in the world frame relative_vel_w = ee_vel_w - root_vel_w # Compute the relative velocity in the world frame ee_lin_vel_b = quat_apply_inverse(robot.data.root_quat_w, relative_vel_w[:, 0:3]) # From world to root frame ee_ang_vel_b = quat_apply_inverse(robot.data.root_quat_w, relative_vel_w[:, 3:6]) ee_vel_b = torch.cat([ee_lin_vel_b, ee_ang_vel_b], dim=-1) # Calculate the contact force ee_force_w = torch.zeros(scene.num_envs, 3, device=sim.device) sim_dt = sim.get_physics_dt() contact_forces.update(sim_dt) # update contact sensor # Calculate the contact force by averaging over last four time steps (i.e., to smoothen) and # taking the max of three surfaces as only one should be the contact of interest ee_force_w, _ = torch.max(torch.mean(contact_forces.data.net_forces_w_history, dim=1), dim=1) # This is a simplification, only for the sake of testing. ee_force_b = ee_force_w # Get joint positions and velocities joint_pos = robot.data.joint_pos[:, arm_joint_ids] joint_vel = robot.data.joint_vel[:, arm_joint_ids] return ( jacobian_b, mass_matrix, gravity, ee_pose_b, ee_vel_b, root_pose_w, ee_pose_w, ee_force_b, joint_pos, joint_vel, ) # Update the target commands def update_target( sim: sim_utils.SimulationContext, scene: InteractiveScene, osc: OperationalSpaceController, root_pose_w: torch.tensor, ee_target_set: torch.tensor, current_goal_idx: int, ): """Update the targets for the operational space controller. Args: sim: (SimulationContext) Simulation context. scene: (InteractiveScene) Interactive scene. osc: (OperationalSpaceController) Operational space controller. root_pose_w: (torch.tensor) Root pose in the world frame. ee_target_set: (torch.tensor) End-effector target set. current_goal_idx: (int) Current goal index. Returns: command (torch.tensor): Updated target command. ee_target_pose_b (torch.tensor): Updated target pose in the body frame. ee_target_pose_w (torch.tensor): Updated target pose in the world frame. next_goal_idx (int): Next goal index. Raises: ValueError: Undefined target_type. """ # update the ee desired command command = torch.zeros(scene.num_envs, osc.action_dim, device=sim.device) command[:] = ee_target_set[current_goal_idx] # update the ee desired pose ee_target_pose_b = torch.zeros(scene.num_envs, 7, device=sim.device) for target_type in osc.cfg.target_types: if target_type == "pose_abs": ee_target_pose_b[:] = command[:, :7] elif target_type == "wrench_abs": pass # ee_target_pose_b could stay at the root frame for force control, what matters is ee_target_b else: raise ValueError("Undefined target_type within update_target().") # update the target desired pose in world frame (for marker) ee_target_pos_w, ee_target_quat_w = combine_frame_transforms( root_pose_w[:, 0:3], root_pose_w[:, 3:7], ee_target_pose_b[:, 0:3], ee_target_pose_b[:, 3:7] ) ee_target_pose_w = torch.cat([ee_target_pos_w, ee_target_quat_w], dim=-1) next_goal_idx = (current_goal_idx + 1) % len(ee_target_set) return command, ee_target_pose_b, ee_target_pose_w, next_goal_idx # Convert the target commands to the task frame def convert_to_task_frame(osc: OperationalSpaceController, command: torch.tensor, ee_target_pose_b: torch.tensor): """Converts the target commands to the task frame. Args: osc: OperationalSpaceController object. command: Command to be converted. ee_target_pose_b: Target pose in the body frame. Returns: command (torch.tensor): Target command in the task frame. task_frame_pose_b (torch.tensor): Target pose in the task frame. Raises: ValueError: Undefined target_type. """ command = command.clone() task_frame_pose_b = ee_target_pose_b.clone() cmd_idx = 0 for target_type in osc.cfg.target_types: if target_type == "pose_abs": command[:, :3], command[:, 3:7] = subtract_frame_transforms( task_frame_pose_b[:, :3], task_frame_pose_b[:, 3:], command[:, :3], command[:, 3:7] ) cmd_idx += 7 elif target_type == "wrench_abs": # These are already defined in target frame for ee_goal_wrench_set_tilted_task (since it is # easier), so not transforming cmd_idx += 6 else: raise ValueError("Undefined target_type within _convert_to_task_frame().") return command, task_frame_pose_b def main(): """Main function.""" # Load kit helper sim_cfg = sim_utils.SimulationCfg(dt=0.01, device=args_cli.device) sim = sim_utils.SimulationContext(sim_cfg) # Set main camera sim.set_camera_view([2.5, 2.5, 2.5], [0.0, 0.0, 0.0]) # Design scene scene_cfg = SceneCfg(num_envs=args_cli.num_envs, env_spacing=2.0) scene = InteractiveScene(scene_cfg) # Play the simulator sim.reset() # Now we are ready! print("[INFO]: Setup complete...") # Run the simulator run_simulator(sim, scene) if __name__ == "__main__": # run the main function main() # close sim app simulation_app.close()