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PolicyIK: High-Precision Inverse Kinematics for Robot Arms with Reinforcement Learning

Yuhan Liu, Xinqi Liu, Zixuan Dong, Keith W. Ross, Shenji Wan

November 2026

TL;DR An RL policy does inverse kinematics by nudging joint-position references, trained to reach and then hold full poses within 1 mm and 0.2°. Trained directly on a physical OpenArm, it holds 43 of 60 poses through the final 5 s (71.7%), against at most 28.3% for four classical IK controllers.

What they do

Many VLA policies output end-effector poses and leave the conversion to joint commands to an IK controller, so IK accuracy limits every policy built on top of it. On a position-controlled arm, gravity, finite gains and joint limits make the arm settle away from the goal. PolicyIK learns closed-loop IK with goal-conditioned RL. Its target is full-pose precision of 1 mm and 0.2°, which the arm must reach and then hold.

How it works

  • Reference accumulation. Each action is an increment to a joint-position reference that a PD controller tracks. The policy also sees the reference minus the measured joints, so a zero action keeps the offset needed to hold a pose against gravity.
  • Two-scale pose errors. The pose error is observed clipped at a coarse (1 cm, 20°) and a fine (0.5 mm, 0.25°) scale, and an error-dependent gain shrinks steps near the goal.
  • Reward. A progress term pays only when the best error so far improves; a dwell term pays for every step inside the tolerance.
  • Training. PPO in 4,096 Isaac Sim environments, or FlashSAC directly on hardware with hindsight goal relabeling, near-goal starts, 150 scripted demonstrations and a latent-alignment critic for large-rotation detours.

Results

  • Simulated 7-DoF OpenArm, 4,120 held-out tasks: 93.5% strict success in one attempt (median 0.25 mm, 0.04°), 98.9% with retries. DLS, QP and MPC score 43, 37 and 37 points lower, and an adapted UMI on Legs RL recipe gets no strict successes.
  • Physical OpenArm, trained on hardware for 120,000 transitions: reaches 54 of 60 tasks and holds 43 through the final 5 s.
  • Physical xArm7: 60/60 on standard and 60/60 on large-rotation tasks, for both simulation- and hardware-trained policies.
  • Simulated LIBERO-Object pick-and-place driven by π0.5: 95.7% success, against 96.7% for hand-tuned DLS and 90.8% for default DLS and hand-tuned QP.

Limitations

The paper has no limitations section. Hardware errors come from joint encoders through forward kinematics, not from an external measurement, and the VLA pick-and-place test is simulation-only. On the OpenArm, a 15 s budget leaves only 27 of 60 tasks held for 5 s, and a separate policy is trained for each arm and mounting.

Figures

From Figure 1: (a) full-pose reaching across the simulated workspace; (b) reaching and then holding within 1 mm and 0...
From Figure 1: (a) full-pose reaching across the simulated workspace; (b) reaching and then holding within 1 mm and 0.2 degrees; (c) on hardware, PolicyIK holds the pose through the final 5 s on more tasks than classical controllers.
From Figure 2: At each step the policy maps the observation to a joint-reference increment, which is scaled by an err...
From Figure 2: At each step the policy maps the observation to a joint-reference increment, which is scaled by an error-dependent gain, accumulated in the joint reference and tracked by a joint PD controller.
From Figure 6: On the physical arm, MPC keeps correcting after reaching the goal and repeatedly leaves the 1 mm toler...
From Figure 6: On the physical arm, MPC keeps correcting after reaching the goal and repeatedly leaves the 1 mm tolerance, while PolicyIK holds the pose.
Abstract

Inverse kinematics (IK) converts end-effector pose commands into joint motion, and many vision-language-action (VLA) policies rely on it to act on a given arm and to transfer across embodiments. Precise IK remains laborious: redundancy and singularities complicate the inverse mapping, execution depends on hand-tuned controllers, and training data on physical robots are costly to collect. We present PolicyIK, a goal-conditioned reinforcement learning policy for high-precision IK. It updates joint-position references from pose feedback and observes its accumulated reference relative to the measured joints, so it can retain the offset that the position controller needs at rest. Two-scale pose errors with an error-dependent action gain resolve millimeter residuals while preserving large motions. Progress and dwell rewards teach it to both reach the tolerance and stay within it. In simulation, a single attempt by the trained PPO policy keeps the mean errors over the final second within 1 mm and 0.2° on 93.5% of held-out tasks, and a deployment protocol raises success to 98.9%. When trained directly on a physical arm with an off-policy RL learner, PolicyIK achieves higher reaching and holding success than all four classical IK controllers under the same time budgets. In simulated pick-and-place, PolicyIK executes the end-effector commands of the $π_{0.5}$ VLA policy with 95.7% success. These results show that reinforcement learning can provide high-precision inverse kinematics for robot arms. Code is available at https://github.com/Tinaliu0123/PolicyIK.

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