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# 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()