The present study focuses on the iterative learning control to switched nonlinear systems incorporating time-varying delay. Initially, the system is reformulated as a nonlinear switched continuous-discrete two-dimensional (2D) model. Subsequently, employing the technique of multiple 2D Lyapunov functions, rigorous criteria for exponential stability of the transformed system are derived. These stability conditions subsequently serve as the foundation for the design of the control strategy. To substantiate the practicality and efficacy of the proposed methodology, a numerical example is provided.

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Iterative Learning Control for Nonlinear Switched Continuous-Time Systems with Time-Varying Delay

  • Zhen Shao,
  • Songyi Xue

摘要

The present study focuses on the iterative learning control to switched nonlinear systems incorporating time-varying delay. Initially, the system is reformulated as a nonlinear switched continuous-discrete two-dimensional (2D) model. Subsequently, employing the technique of multiple 2D Lyapunov functions, rigorous criteria for exponential stability of the transformed system are derived. These stability conditions subsequently serve as the foundation for the design of the control strategy. To substantiate the practicality and efficacy of the proposed methodology, a numerical example is provided.