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H 2/H ∞ control of networked control system with random time delays

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Abstract

This paper investigates the H 2/H ∞ control problem for a class of discrete-time networked control systems with random communication time delays. Both sensor-to-controller (S-C) and controller-to-actuator (C-A) random network-induced delays are considered. Two independent Markov chains are used to model the S-C and C-A random delays. The resulting closed-loop system is a jump linear time-delay system induced by two Markov chains. Sufficient conditions for existence of H 2/H ∞ controller are established by free-weighting matrix and stochastic Lyapunov functions. A simulation example illustrates the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China

    Li Qiu, BuGong Xu & ShanBin Li

  2. College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen, 518060, China

    Li Qiu

Authors
  1. Li Qiu
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  2. BuGong Xu
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  3. ShanBin Li
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Correspondence to ShanBin Li.

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Qiu, L., Xu, B. & Li, S. H 2/H ∞ control of networked control system with random time delays. Sci. China Inf. Sci. 54, 2615–2630 (2011). https://doi.org/10.1007/s11432-011-4463-9

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  • DOI: https://doi.org/10.1007/s11432-011-4463-9

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