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Robust partially mode delay dependent ℋ control of discrete-time networked control systems

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  • Seunghwan Chae
  • Dan Huang
  • Sing Nguang

Abstract

This article proposes a methodology for designing a partially mode delay dependent ℋ∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controller are modelled by a finite state Markov chain where the transition probability matrix is partially known. Stability criteria are obtained based on Lyapunov–Krasovskii functional and a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The controller is obtained by solving linear matrix inequality optimisation problems using cone complimentarity linearisation algorithm. A numerical example is provided to illustrate the effectiveness of the proposed controller.

Suggested Citation

  • Seunghwan Chae & Dan Huang & Sing Nguang, 2012. "Robust partially mode delay dependent ℋ control of discrete-time networked control systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(9), pages 1764-1773.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1764-1773
    DOI: 10.1080/00207721.2011.554913
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