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Control discrete-time switched singular systems with state delays under asynchronous switching

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  • Jinxing Lin
  • Shumin Fei
  • Zhifeng Gao

Abstract

This article is concerned with the problem of state feedback control for a class of discrete-time switched singular systems with time-varying state delays under asynchronous switching. The asynchronous switching considered here means that the switching instants of the candidate controllers lag behind those of the system modes. The concept of mismatched control rate is introduced. By using the multiple Lyapunov function approach and the average dwell time technique, a sufficient condition for the existence a stabilising switching law is first derived to guarantee the regularity, causality and exponential stability of the closed-loop system in the presence of asynchronous switching. The stabilising switching law is characterised by a upper bound on the mismatched control rate and a lower bound on the average dwell time. Then, the corresponding solvability condition for a set of mode-dependent state feedback controllers is established by using the linear matrix inequality (LMI) technique. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Jinxing Lin & Shumin Fei & Zhifeng Gao, 2013. "Control discrete-time switched singular systems with state delays under asynchronous switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1089-1101.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1089-1101
    DOI: 10.1080/00207721.2011.652230
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    Cited by:

    1. J. Salt & V. Casanova & A. Cuenca & R. Pizá, 2014. "Multirate control with incomplete information over Profibus-DP network," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1589-1605, July.
    2. Xudong Zhao & Yunfei Yin & Jun Shen, 2016. "Reset stabilisation of positive linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2773-2782, September.

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