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ILC for Non-Linear Hyperbolic Partial Difference Systems

Author

Listed:
  • Meryem Hamidaoui

    (Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China)

  • Cheng Shao

    (Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China)

Abstract

This paper discusses the iterative learning control problem for a class of non-linear partial difference system hyperbolic types. The proposed algorithm is the PD-type iterative learning control algorithm with initial state learning. Initially, we introduced the hyperbolic system and the control law used. Subsequently, we presented some dilemmas. Then, sufficient conditions for monotone convergence of the tracking error are established under the convenient assumption. Furthermore, we give a detailed convergence analysis based on previously given lemmas and the discrete Gronwall’s inequality for the system. Finally, we illustrate the effectiveness of the method using a numerical example.

Suggested Citation

  • Meryem Hamidaoui & Cheng Shao, 2021. "ILC for Non-Linear Hyperbolic Partial Difference Systems," Mathematics, MDPI, vol. 9(23), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3076-:d:691252
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    References listed on IDEAS

    as
    1. Xuan Yang, 2015. "A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, June.
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