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Quantized robust ℋ control of discrete-time systems with random communication delays

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  • Faiz Rasool
  • Sing Kiong Nguang

Abstract

The article considers stability and robust ℋ∞ controller design of discrete-time systems with random communication delays and state quantization. A finite state Markov process is used to model communication delays between sensors and controllers. Measurements are assumed to be quantized by a logarithmic quantizer, and the effect of quantization errors are incorporated into the controller design. Based on a Lyapunov–Krasovskii approach, novel methodologies for analysing stability and designing a time-delay mode-dependent quantized state feedback controller are proposed. The controller is obtained through solving bilinear matrix inequalities (BMIs) using the cone complementarity linearisation algorithm.

Suggested Citation

  • Faiz Rasool & Sing Kiong Nguang, 2011. "Quantized robust ℋ control of discrete-time systems with random communication delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 129-138.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:129-138
    DOI: 10.1080/00207720903470171
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    Cited by:

    1. Shiping Wen & Zhigang Zeng & Tingwen Huang, 2015. "Observer-based fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 159-169, January.

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