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Finite-time stabilization of input-delay switched systems

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  • Lin, Xiangze
  • Zhang, Wanli
  • Huang, Shuaiting
  • Zheng, Enlai

Abstract

In the framework of digital control, finite-time stabilization of input-delay switched systems with saturating actuators is investigated. Digital state feedback controllers (DSFC) and digital output feedback controllers (DOFC) are proposed to make input-delay switched systems finite-time stable for the cases that states are available or unavailable. Sufficient conditions for finite-time stability (FTS) of the resultant closed-loop systems are also presented. A constructive way is used to proof the main results, which is constructing an exact comparison function. Numerical examples are employed to verify the efficiency of the methods proposed in this paper.

Suggested Citation

  • Lin, Xiangze & Zhang, Wanli & Huang, Shuaiting & Zheng, Enlai, 2020. "Finite-time stabilization of input-delay switched systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    • Handle: RePEc:eee:apmaco:v:375:y:2020:i:c:s009630032030031x
    DOI: 10.1016/j.amc.2020.125062
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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. Wang, Guoliang & Li, Zhiqiang & Zhang, Qingling & Yang, Chunyu, 2017. "Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 377-393.
    3. Chen, Mengshen & Yang, Xiaofei & Shen, Hao & Yao, Fengqi, 2016. "Finite-time asynchronous H∞ control for Markov jump repeated scalar non-linear systems with input constraints," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 172-180.
    4. 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.
    5. 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. Ghrab, Sonia & Benamor, Anouar & Messaoud, Hassani, 2021. "A new robust discrete-time sliding mode control design for systems with time-varying delays on state and input and unknown unmatched parameter uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 921-945.
    2. 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).
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    4. Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).

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