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

Yanbin Zhao and Wenqiang Dong ()
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Yanbin Zhao: School of Mathematics Physics and Statistics, Shanghai Polytechnic University, Shanghai 201209, China
Wenqiang Dong: Shanghai Customs College, Shanghai 201204, China

Mathematics, 2024, vol. 12, issue 10, 1-16

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.

Keywords: quasi-one-sided Lipschitz condition; nonlinear discrete-time systems; reduced-order observer design; feedback stabilization based on reduced-order observer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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