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March 18, 2026Actuators2 citationsOpen Access

Disturbance Observer-Based Actor–Critic Reinforcement Learning with Adaptive Reward for Energy-Efficient Control of Robotic Manipulators

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LTLe Thi Minh TamNNNguyen Viet NguDPDuc-Hung Pham

Key Points

  • The research aims to enhance reinforcement learning controllers for robotic manipulators using adaptive reward mechanisms under uncertainty.
  • Developed a disturbance observer-based actor-critic reinforcement learning framework.
  • Implemented adaptive multi-objective reward shaping based on tracking error, control energy, and effort.
  • Applied Lyapunov analysis to ensure stability in closed-loop systems.
  • Evaluated the approach on a torque-saturated 2-DOF manipulator through simulations.
  • Achieved a reduction in RMS tracking error by up to 22.8%.
  • Decreased control energy consumption by approximately 4.6%.
  • Reduced control effort by 1.9%.
  • Shortened settling time by up to 29.2%.

Abstract

Reinforcement learning controllers for robot manipulators depend strongly on reward tuning, and fixed weights may yield poor trade-offs under uncertainty and disturbances. This paper proposes a disturbance observer-based actor–critic RL (DOB–ACRL) with adaptive multi-objective reward shaping for a torque-saturated 2-DOF manipulator, where the reward weights are updated online using normalized indicators of tracking error, control energy, and effort. A Lyapunov analysis guarantees the uniform ultimate boundedness of closed-loop signals. The simulations show improved learning and performance over a static reward actor–critic baseline, reducing the RMS tracking error by up to 22.8%, the control energy by ~4.6%, the control effort by 1.9%, and the settling time by up to 29.2%.

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Cite This Study

Tam et al. (2026) studied this question.

synapsesocial.com/papers/69ba421b4e9516ffd37a21d7https://doi.org/10.3390/act15030167
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