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Global output-feedback stabilization for a class of switched uncertain nonlinear systems

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  • Li, Erpeng
  • Long, Lijun
  • Zhao, Jun

Abstract

This paper is mainly concerned with the problem of global output feedback stabilization for a class of switched nonlinear systems with uncertain control coefficients. First of all, it is shown that the unknown control coefficients are lumped together via a common coordinate transformation, thus the original switched nonlinear system is transformed into a new switched system for which control design is feasible. Second, by constructing a common Lyapunov function relying on the designed state observer, the common output feedback controller independent of switching signals is designed based on the backstepping method so as to guarantee the global asymptotic stability of the resulting closed-loop switched system under arbitrary switchings. Two examples are included for verifying the effectiveness of the method proposed.

Suggested Citation

  • Li, Erpeng & Long, Lijun & Zhao, Jun, 2015. "Global output-feedback stabilization for a class of switched uncertain nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 551-564.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:551-564
    DOI: 10.1016/j.amc.2015.01.039
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    Cited by:

    1. Song, Zhibao & Li, Ping & Zhai, Junyong & Wang, Zhen & Huang, Xia, 2020. "Global fixed-time stabilization for switched stochastic nonlinear systems under rational switching powers," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    2. Gisela Pujol-Vazquez & Saleh Mobayen & Leonardo Acho, 2020. "Robust Control Design to the Furuta System under Time Delay Measurement Feedback and Exogenous-Based Perturbation," Mathematics, MDPI, vol. 8(12), pages 1-15, November.
    3. Shi, Shuang & Fei, Zhongyang & Shi, Zhenpeng & Ren, Shunqing, 2018. "Stability and stabilization for discrete-time switched systems with asynchronism," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 520-536.
    4. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    5. Zhang, Junfeng & Zhao, Xudong & Cai, Xiushan, 2016. "Absolute exponential L1-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 24-36.
    6. Ju, Xinxu & Jia, Xianglei & Shi, Xiaocheng & Yu, Shan’en, 2022. "Adaptive output feedback event-triggered tracking control for nonlinear systems with unknown control coefficient," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    7. Yan, Xuehua & Song, Xinmin & Wang, Zhonghua & Zhang, Yun, 2017. "Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems with Unknown Growth Rate and Output Function," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 299-309.

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