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Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems

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  • Changchun Hua
  • Guopin Liu
  • Zhenhua Bai
  • Xinping Guan

Abstract

In this paper, we focus on the problem of adaptive stabilisation for a class of interconnected uncertain switched stochastic nonlinear systems. Classical adaptive and backstepping technique are employed for control synthesis. Instead of estimating the switching parameters directly, we design the adaptive controller based on the estimations of bounds on switching time-varying parameters. A smooth function is introduced to deal with the difficulties caused by unknown interactions and tuning function approach is used to circumvent the overparameter problem. It is shown that under the action of the proposed controller all the signals of the overall closed-loop systems are globally uniformly bounded in probability under arbitrary switching. Simulation results are presented to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Changchun Hua & Guopin Liu & Zhenhua Bai & Xinping Guan, 2016. "Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3782-3791, December.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3782-3791
    DOI: 10.1080/00207721.2015.1122848
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    Cited by:

    1. Li, Xiaoqing & She, Kun & Zhong, Shouming & Shi, Kaibo & Kang, Wei & Cheng, Jun & Yu, Yongbin, 2018. "Extended robust global exponential stability for uncertain switched memristor-based neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 271-290.
    2. Ren, Yuanhong & Wang, Weiqun & Wang, Yixiang, 2018. "Incremental H∞ control for switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 251-263.
    3. Xi, Changjiang & Dong, Jiuxiang, 2021. "Adaptive asymptotic tracking control of uncertain nonlinear time-delay systems depended on delay estimation information," Applied Mathematics and Computation, Elsevier, vol. 391(C).

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