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Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output

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  • Yan, Huaicheng
  • Huang, Xinhan
  • Wang, Min
  • Zhang, Hao

Abstract

This paper deals with the problem of delay-dependent stability for networked control systems (NCSs) with structured uncertainties and multiple state time-delays. In view of multi-input and multi-output (MIMO) NCSs with many independent sensors and actuators, a continuous time model of NCSs with distributed time-delays and uncertainties is proposed. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria for the system in terms of LMIs are derived. With the proposed criteria, we are able to analyze the delay-dependent asymptotic stability and obtain maximum allowable delay bound (MADB) of NCSs with uncertainties and multiple time-delays. Compared to other criteria, the proposed criteria give a much less conservative MADB and more general results. Numerical example and simulation show that the proposed criteria are effective and are an improvement over previous ones.

Suggested Citation

  • Yan, Huaicheng & Huang, Xinhan & Wang, Min & Zhang, Hao, 2007. "Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 997-1005.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:997-1005
    DOI: 10.1016/j.chaos.2006.04.038
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    References listed on IDEAS

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    Cited by:

    1. Yan, Huaicheng & Huang, Xinhan & Zhang, Hao & Wang, Min, 2009. "Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1668-1679.
    2. Yue, Dong & Lam, James & Wang, Zidong, 2009. "Persistent disturbance rejection via state feedback for networked control systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 382-391.

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