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Weighted performance analysis of switched linear systems with mode-dependent average dwell time

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  • Xudong Zhao
  • Hao Liu
  • Zhenhuan Wang

Abstract

This article is concerned with the disturbance attenuation properties of a class of switched linear systems by using a mode-dependent average dwell time (MDADT) approach. The proposed switching law is less strict than the average dwell time (ADT) switching in that each mode in the underlying system has its own ADT. By using the MDADT approach, a sufficient condition is obtained to guarantee the exponential stability with a weighted H∞ performance for the underlying systems. A numerical example is given to show the validity and potential of the developed results on improving the disturbance attenuation performance.

Suggested Citation

  • Xudong Zhao & Hao Liu & Zhenhuan Wang, 2013. "Weighted performance analysis of switched linear systems with mode-dependent average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2130-2139.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2130-2139
    DOI: 10.1080/00207721.2012.684905
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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. Junfeng Zhang & Zhengzhi Han & Fubo Zhu, 2015. "-gain analysis and control synthesis of positive switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2111-2121, September.
    3. Junfeng Zhang & Zhengzhi Han & Jun Huang, 2015. "Global asymptotic stabilisation for switched planar systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 908-918, April.
    4. Yu, Qiang & Zhao, Xudong, 2016. "Stability analysis of discrete-time switched linear systems with unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 718-725.
    5. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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