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Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system

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  • Yin, Qitian
  • Wang, Mao
  • Jing, He

Abstract

In this paper, the aim is to design a backstepping controller for switched complex nonlinear system. The nonlinear system is composed of several arbitrarily switched complex nonlinear subsystems, and the nonlinear system does not satisfy the so-called hypothesis of the global Lipschitz-like condition. First an uniform nonlinear decoupling method for switched subsystems is proposed to overcome the double uncertainty from the complex nonlinear structure and arbitrarily switching. Next a states backstepping controller is designed to realize exponentially stability of the switched nonlinear systems. Then based on an uniform gain observer with the uncertainty of the subsystem nonlinearity, an output backstepping controller is construct to realize exponentially stability of the observer-backstepping feedback control system. Two detailed simulations are finally presented to exhibit the effectiveness of the proposed synthesis methods.

Suggested Citation

  • Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319307817
    DOI: 10.1016/j.amc.2019.124789
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    References listed on IDEAS

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    1. Huang, Zhengguo & Xia, Jianwei & Wang, Jing & Wei, Yunliang & Wang, Zhen & Wang, Jian, 2019. "Mixed H∞/l2−l∞ state estimation for switched genetic regulatory networks subject to packet dropouts: A persistent dwell-time switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 198-212.
    2. Xudong Zhao & Hao Liu & Zhenhuan Wang, 2013. "Weighted performance analysis of switched linear systems with mode-dependent average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2130-2139.
    3. Yonghui Liu & Tinggang Jia & Yugang Niu & Yuanyuan Zou, 2015. "Design of sliding mode control for a class of uncertain switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 993-1002, April.
    4. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
    5. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
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    Cited by:

    1. Mathiyalagan, K. & Nidhi, A. Shree & Su, H. & Renugadevi, T., 2022. "Observer and boundary output feedback control for coupled ODE-transport PDE," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    2. Li, Jiahao & Liu, Yu & Yu, Jinyong, 2022. "A new result on semi-synchronous event-triggered backstepping robust control for a class of non-Lipschitzian networked systems," Applied Mathematics and Computation, Elsevier, vol. 424(C).

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