| """ |
| Copyright (c) 2020, NVIDIA CORPORATION. All rights reserved. |
| |
| NVIDIA CORPORATION and its licensors retain all intellectual property |
| and proprietary rights in and to this software, related documentation |
| and any modifications thereto. Any use, reproduction, disclosure or |
| distribution of this software and related documentation without an express |
| license agreement from NVIDIA CORPORATION is strictly prohibited. |
| |
| |
| Franka Operational Space Control |
| ---------------- |
| Operational Space Control of Franka robot to demonstrate Jacobian and Mass Matrix Tensor APIs |
| """ |
|
|
| from isaacgym import gymapi |
| from isaacgym import gymutil |
| from isaacgym import gymtorch |
| from isaacgym.torch_utils import * |
|
|
| import math |
| import numpy as np |
| import torch |
|
|
|
|
| def orientation_error(desired, current): |
| cc = quat_conjugate(current) |
| q_r = quat_mul(desired, cc) |
| return q_r[:, 0:3] * torch.sign(q_r[:, 3]).unsqueeze(-1) |
|
|
|
|
| |
| args = gymutil.parse_arguments(description="Franka Tensor OSC Example", |
| custom_parameters=[ |
| {"name": "--num_envs", "type": int, "default": 256, "help": "Number of environments to create"}, |
| {"name": "--pos_control", "type": gymutil.parse_bool, "const": True, "default": True, "help": "Trace circular path in XZ plane"}, |
| {"name": "--orn_control", "type": gymutil.parse_bool, "const": True, "default": False, "help": "Send random orientation commands"}]) |
|
|
| |
| gym = gymapi.acquire_gym() |
|
|
| |
| sim_params = gymapi.SimParams() |
| sim_params.up_axis = gymapi.UP_AXIS_Z |
| sim_params.gravity = gymapi.Vec3(0.0, 0.0, -9.8) |
| sim_params.dt = 1.0 / 60.0 |
| sim_params.substeps = 2 |
| if args.physics_engine == gymapi.SIM_PHYSX: |
| sim_params.physx.solver_type = 1 |
| sim_params.physx.num_position_iterations = 4 |
| sim_params.physx.num_velocity_iterations = 1 |
| sim_params.physx.num_threads = args.num_threads |
| sim_params.physx.use_gpu = args.use_gpu |
| else: |
| raise Exception("This example can only be used with PhysX") |
|
|
| sim_params.use_gpu_pipeline = args.use_gpu_pipeline |
|
|
| sim = gym.create_sim(args.compute_device_id, args.graphics_device_id, args.physics_engine, sim_params) |
|
|
| if sim is None: |
| raise Exception("Failed to create sim") |
|
|
| |
| viewer = gym.create_viewer(sim, gymapi.CameraProperties()) |
| if viewer is None: |
| raise Exception("Failed to create viewer") |
|
|
| |
| plane_params = gymapi.PlaneParams() |
| plane_params.normal = gymapi.Vec3(0, 0, 1) |
| gym.add_ground(sim, plane_params) |
|
|
| |
| asset_root = "../../assets" |
| franka_asset_file = "urdf/franka_description/robots/franka_panda.urdf" |
|
|
| asset_options = gymapi.AssetOptions() |
| asset_options.fix_base_link = True |
| asset_options.flip_visual_attachments = True |
| asset_options.armature = 0.01 |
| asset_options.disable_gravity = True |
|
|
| print("Loading asset '%s' from '%s'" % (franka_asset_file, asset_root)) |
| franka_asset = gym.load_asset( |
| sim, asset_root, franka_asset_file, asset_options) |
|
|
| |
| franka_dof_props = gym.get_asset_dof_properties(franka_asset) |
| franka_lower_limits = franka_dof_props['lower'] |
| franka_upper_limits = franka_dof_props['upper'] |
| franka_ranges = franka_upper_limits - franka_lower_limits |
| franka_mids = 0.5 * (franka_upper_limits + franka_lower_limits) |
| franka_num_dofs = len(franka_dof_props) |
|
|
| |
| default_dof_state = np.zeros(franka_num_dofs, gymapi.DofState.dtype) |
| default_dof_state["pos"][:7] = franka_mids[:7] |
|
|
| |
| franka_dof_props["driveMode"][:7].fill(gymapi.DOF_MODE_EFFORT) |
| franka_dof_props["stiffness"][:7].fill(0.0) |
| franka_dof_props["damping"][:7].fill(0.0) |
|
|
| |
| franka_dof_props["driveMode"][7:].fill(gymapi.DOF_MODE_POS) |
| franka_dof_props["stiffness"][7:].fill(800.0) |
| franka_dof_props["damping"][7:].fill(40.0) |
|
|
| |
| num_envs = args.num_envs |
| num_per_row = int(math.sqrt(num_envs)) |
| spacing = 1.0 |
| env_lower = gymapi.Vec3(-spacing, -spacing, 0.0) |
| env_upper = gymapi.Vec3(spacing, spacing, spacing) |
|
|
| |
| pose = gymapi.Transform() |
| pose.p = gymapi.Vec3(0, 0, 0) |
| pose.r = gymapi.Quat(0, 0, 0, 1) |
|
|
| print("Creating %d environments" % num_envs) |
|
|
| envs = [] |
| hand_idxs = [] |
| init_pos_list = [] |
| init_orn_list = [] |
|
|
| for i in range(num_envs): |
| |
| env = gym.create_env(sim, env_lower, env_upper, num_per_row) |
| envs.append(env) |
|
|
| |
| franka_handle = gym.create_actor(env, franka_asset, pose, "franka", i, 1) |
|
|
| |
| gym.set_actor_dof_states(env, franka_handle, default_dof_state, gymapi.STATE_ALL) |
|
|
| |
| gym.set_actor_dof_properties(env, franka_handle, franka_dof_props) |
|
|
| |
| hand_handle = gym.find_actor_rigid_body_handle(env, franka_handle, "panda_hand") |
| hand_pose = gym.get_rigid_transform(env, hand_handle) |
| init_pos_list.append([hand_pose.p.x, hand_pose.p.y, hand_pose.p.z]) |
| init_orn_list.append([hand_pose.r.x, hand_pose.r.y, hand_pose.r.z, hand_pose.r.w]) |
|
|
| |
| hand_idx = gym.find_actor_rigid_body_index(env, franka_handle, "panda_hand", gymapi.DOMAIN_SIM) |
| hand_idxs.append(hand_idx) |
|
|
| |
| cam_pos = gymapi.Vec3(4, 3, 3) |
| cam_target = gymapi.Vec3(-4, -3, 0) |
| middle_env = envs[num_envs // 2 + num_per_row // 2] |
| gym.viewer_camera_look_at(viewer, middle_env, cam_pos, cam_target) |
|
|
| |
| |
| gym.prepare_sim(sim) |
|
|
| |
| init_pos = torch.Tensor(init_pos_list).view(num_envs, 3) |
| init_orn = torch.Tensor(init_orn_list).view(num_envs, 4) |
|
|
| if args.use_gpu_pipeline: |
| init_pos = init_pos.to('cuda:0') |
| init_orn = init_orn.to('cuda:0') |
|
|
| |
| pos_des = init_pos.clone() |
| orn_des = init_orn.clone() |
|
|
| |
| |
| _jacobian = gym.acquire_jacobian_tensor(sim, "franka") |
| jacobian = gymtorch.wrap_tensor(_jacobian) |
|
|
| |
| hand_index = gym.get_asset_rigid_body_dict(franka_asset)["panda_hand"] |
| j_eef = jacobian[:, hand_index - 1, :] |
|
|
| |
| |
| _massmatrix = gym.acquire_mass_matrix_tensor(sim, "franka") |
| mm = gymtorch.wrap_tensor(_massmatrix) |
|
|
| kp = 5 |
| kv = 2 * math.sqrt(kp) |
|
|
| |
| _rb_states = gym.acquire_rigid_body_state_tensor(sim) |
| rb_states = gymtorch.wrap_tensor(_rb_states) |
|
|
| |
| _dof_states = gym.acquire_dof_state_tensor(sim) |
| dof_states = gymtorch.wrap_tensor(_dof_states) |
| dof_vel = dof_states[:, 1].view(num_envs, 9, 1) |
| dof_pos = dof_states[:, 0].view(num_envs, 9, 1) |
|
|
| itr = 0 |
| while not gym.query_viewer_has_closed(viewer): |
|
|
| |
| if itr % 250 == 0 and args.orn_control: |
| orn_des = torch.rand_like(orn_des) |
| orn_des /= torch.norm(orn_des) |
|
|
| itr += 1 |
|
|
| |
| gym.refresh_rigid_body_state_tensor(sim) |
| gym.refresh_dof_state_tensor(sim) |
| gym.refresh_jacobian_tensors(sim) |
| gym.refresh_mass_matrix_tensors(sim) |
|
|
| |
| pos_cur = rb_states[hand_idxs, :3] |
| orn_cur = rb_states[hand_idxs, 3:7] |
|
|
| |
| if args.pos_control: |
| pos_des[:, 0] = init_pos[:, 0] - 0.1 |
| pos_des[:, 1] = math.sin(itr / 50) * 0.2 |
| pos_des[:, 2] = init_pos[:, 2] + math.cos(itr / 50) * 0.2 |
|
|
| |
| m_inv = torch.inverse(mm) |
| m_eef = torch.inverse(j_eef @ m_inv @ torch.transpose(j_eef, 1, 2)) |
| orn_cur /= torch.norm(orn_cur, dim=-1).unsqueeze(-1) |
| orn_err = orientation_error(orn_des, orn_cur) |
|
|
| pos_err = kp * (pos_des - pos_cur) |
|
|
| if not args.pos_control: |
| pos_err *= 0 |
|
|
| dpose = torch.cat([pos_err, orn_err], -1) |
|
|
| u = torch.transpose(j_eef, 1, 2) @ m_eef @ (kp * dpose).unsqueeze(-1) - kv * mm @ dof_vel |
|
|
| |
| gym.set_dof_actuation_force_tensor(sim, gymtorch.unwrap_tensor(u)) |
|
|
| |
| gym.simulate(sim) |
| gym.fetch_results(sim, True) |
|
|
| |
| gym.step_graphics(sim) |
| gym.draw_viewer(viewer, sim, False) |
| |
|
|
| print("Done") |
|
|
| gym.destroy_viewer(viewer) |
| gym.destroy_sim(sim) |
|
|