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<p>For a class of continuous-time nonlinear systems with input constraints, a novel event triggered control (ETC) of integral reinforcement learning (IRL) based on sliding mode (SM) is proposed in this paper. Firstly, a SM surface-based performance index function is designed and the Hamiltonian equation is solved by the policy iteration algorithm. Secondly, the IRL technique is utilized to obtain the integral Bellman equation, which makes the controller do not need to know the drift dynamics. Thirdly, the ETC is introduced to reduce the communication burden and a triggering condition is designed to ensure the asymptotic stability of the system. Then, a critic neural network (NN) is used to learn the optimal value function to obtain the optimal tracking controller. Finally, the asymptotic stability of the whole closed-loop system and uniformly ultimately bounded of the critic NN weights are proved based on the Lyapunov theory. Simulation and comparison results demonstrate the effectiveness of the proposed method.</p>

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Sliding Mode-based Integral Reinforcement Learning Event Triggered Control

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Chao Jia,
  • Xinyu Li,
  • Hongkun Wang,
  • Zijian Song

摘要

For a class of continuous-time nonlinear systems with input constraints, a novel event triggered control (ETC) of integral reinforcement learning (IRL) based on sliding mode (SM) is proposed in this paper. Firstly, a SM surface-based performance index function is designed and the Hamiltonian equation is solved by the policy iteration algorithm. Secondly, the IRL technique is utilized to obtain the integral Bellman equation, which makes the controller do not need to know the drift dynamics. Thirdly, the ETC is introduced to reduce the communication burden and a triggering condition is designed to ensure the asymptotic stability of the system. Then, a critic neural network (NN) is used to learn the optimal value function to obtain the optimal tracking controller. Finally, the asymptotic stability of the whole closed-loop system and uniformly ultimately bounded of the critic NN weights are proved based on the Lyapunov theory. Simulation and comparison results demonstrate the effectiveness of the proposed method.