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Observer-based controller for Lipschitz nonlinear systems

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  • Mohsen Ekramian

Abstract

An observer-based controller for Lipschitz nonlinear systems is presented. The necessary and sufficient condition to ensure stability of state-observer as well as nonlinear system with state-feedback control law is derived. According to the separation principle, the closed-loop stability is guaranteed based on dual problems concerning stability of state-observer and stability of state-feedback parts. Also, the stability region for locally Lipschitz nonlinearities is obtained. A practical synthesis approach to achieve controller parameters is then given which yields the closed-loop convergence with less conservative results. The effectiveness of the proposed synthesis method is finally demonstrated by simulation results.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3411-3418
    DOI: 10.1080/00207721.2017.1381894
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    Cited by:

    1. 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.

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