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Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique

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  • Xuemiao Chen
  • Qianjin Zhao
  • Chunsheng Zhang
  • Jian Wu

Abstract

A novel adaptive tracking control scheme is proposed for a class of uncertain nonlinear switched systems with perturbations in this paper. The common Lyapunov function method is introduced to handle the switched system in the design process of the desired adaptive controller. In addition, a dynamic surface control method is proposed by employing a nonlinear filter such that the “explosion of complexity” problem existing in the conventional backstepping design can be overcome. Under the presented adaptive controller, all the closed-loop signals are semiglobally bounded, and especially the output signal of the controlled system can follow the given reference signal asymptotically. To show the availability of the presented control scheme, a simulation is given in this paper.

Suggested Citation

  • Xuemiao Chen & Qianjin Zhao & Chunsheng Zhang & Jian Wu, 2019. "Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique," Complexity, Hindawi, vol. 2019, pages 1-9, October.
    • Handle: RePEc:hin:complx:9596308
    DOI: 10.1155/2019/9596308
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    References listed on IDEAS

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    1. Shuyi Xiao & Jiuxiang Dong, 2019. "Robust adaptive fault-tolerant control for time delay uncertain nonlinear systems with time-varying performance bounds," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(11), pages 2168-2188, August.
    2. Tingting Gao & Jiangshuai Huang & Yong Zhou, 2018. "Adaptive consensus control of nonlinear systems with unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1908-1917, July.
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    Cited by:

    1. Xu, Ning & Zhao, Xudong & Zong, Guangdeng & Wang, Yuanqing, 2021. "Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 408(C).

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