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Finite-time stabilization of switched linear time-delay systems with saturating actuators

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  • Lin, Xiangze
  • Li, Shihua
  • Zou, Yun

Abstract

In this paper, finite-time stabilization of switched linear time-delay systems with saturating actuators is addressed. State feedback controllers are presented to make the closed-loop systems finite-time stable. Not only the gain matrix of the saturating actuator but also the switching signal is designed to guarantee the finite-time stability of the switched systems. Sufficient conditions for both delay independent and delay dependent cases are given. The results in this paper which are expressed by scalar inequalities show the transient performance of the controlled switched systems. The bound of the trajectory given by the proposed methods leads us easily to judge the finite-time stability of the closed-loop switched systems. An example is employed to verify the efficiency of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:299:y:2017:i:c:p:66-79
    DOI: 10.1016/j.amc.2016.11.039
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    References listed on IDEAS

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    1. Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    2. 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.
    3. 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.
    4. 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.
    5. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    6. 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.
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    Cited by:

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    2. 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).
    3. Göksu, Gökhan & Başer, Ulviye, 2021. "Finite-time stability for switched linear systems by Jordan decomposition," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    4. Wu, Kai-Ning & Sun, Han-Xiao & Yang, Baoqing & Lim, Cheng-Chew, 2018. "Finite-time boundary control for delay reaction–diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 52-63.
    5. 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).
    6. Gholami, Hadi & Shafiei, Mohammad Hossein, 2021. "Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 389(C).

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