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Finite-time bounded sampled-data control of switched time-delay systems with sector bounded nonlinearity

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  • Zhang, Wanli
  • Wei, Zihang
  • Lin, Xiangze
  • Chen, Chih-chiang

Abstract

In this paper, finite-time bounded sampled-data control problem of switched systems with sector bounded nonlinearity and constant time delay is investigated. During the sampled-data control process, two cases, sampling period with or without switches, are discussed. Mismatching errors cased by the asynchronous switching signal and sampling points, are considered. Different from the qualitative properties of Lyapunov stability, the trajectory upper-bound of switched systems is quantitatively estimated to make it finite-time bounded. Moreover, anti-disturbance capability of switched systems can be measured with finite-time weighted L2-gain of switched systems. The proposed method is verified by numerical simulations.

Suggested Citation

  • Zhang, Wanli & Wei, Zihang & Lin, Xiangze & Chen, Chih-chiang, 2021. "Finite-time bounded sampled-data control of switched time-delay systems with sector bounded nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008249
    DOI: 10.1016/j.chaos.2021.111470
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    References listed on IDEAS

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    1. Hien, Le Van & Son, Doan Thai, 2015. "Finite-time stability of a class of non-autonomous neural networks with heterogeneous proportional delays," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 14-23.
    2. Lin, Xiangze & Li, Xueling & Li, Shihua & Zou, Yun, 2016. "Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 25-40.
    3. Lin, Xiangze & Li, Shihua & Zou, Yun, 2017. "Finite-time stabilization of switched linear time-delay systems with saturating actuators," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 66-79.
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    Cited by:

    1. Abinandhitha, R. & Monisha, S. & Sakthivel, R. & Manikandan, R. & Saat, S., 2023. "Proportional integral observer-based input–output finite-time stabilization for chaotic semi-Markov jump fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Sang, Hong & Zhao, Ying & Wang, Peng & Wang, Yuzhong & Yu, Shuanghe & Dimirovski, Georgi M., 2023. "Finite-time peak-to-peak analysis for switched generalized neural networks comprised of finite-time unstable subnetworks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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