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Feedback Stabilization of Quasi-One-Sided Lipschitz Nonlinear Discrete-Time Systems with Reduced-Order Observer

Author

Listed:
  • Yanbin Zhao

    (School of Mathematics Physics and Statistics, Shanghai Polytechnic University, Shanghai 201209, China)

  • Wenqiang Dong

    (Shanghai Customs College, Shanghai 201204, China)

Abstract

The feedback stabilization problem for nonlinear discrete-time systems with a reduced-order observer is investigated, in which the nonlinear terms of the systems satisfy the quasi-one-sided Lipschitz condition. First, a discrete-time reduced-order observer for nonlinear systems is designed. Then, a feedback controller with a reduced-order observer is designed for realizing the stabilization of nonlinear discrete-time systems. We prove that the design of a feedback controller and reduced-order observer of systems can be carried out independently in the case of discrete-time with nonlinear terms, which largely reduces the computational complexity of the observer and controller. The introduction of the quasi-one-sided Lipschitz condition simultaneously enhances the robustness and stability of nonlinear control systems. Finally, the feasibility and effectiveness of the proposed design approach is verified by a numerical simulation.

Suggested Citation

  • Yanbin Zhao & Wenqiang Dong, 2024. "Feedback Stabilization of Quasi-One-Sided Lipschitz Nonlinear Discrete-Time Systems with Reduced-Order Observer," Mathematics, MDPI, vol. 12(10), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1553-:d:1395821
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    References listed on IDEAS

    as
    1. Nguyen, Minh Cuong & Trinh, Hieu, 2016. "Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 57-71.
    2. Mohsen Ekramian, 2017. "Observer-based controller for Lipschitz nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(16), pages 3411-3418, December.
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