Mixed H2/H∞control of networked control systems with random delays modeled by Markov chains

  • Authors:

  • Yang Shi;Bo Yu;Ji Huang

  • Affiliations:

  • Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada;Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada;Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

This paper considers the mixed H2/H∞ control of networked control systems where random time delays existing in sensor-to-controller (S-C) and controller-to-actuator (C-A) links are modeled by Markov chains. The designed output feedback controller is two-mode-dependent, which depends on the available S-C and C-A delay information. The closed-loop system is formulated as a special jump linear system. The definitions of the H2 and H∞ norms are further proposed to reflect the special characteristics of the system. The H2 and mixed H2/H∞ control problems are solved via the linear matrix inequality (LMI) optimization approaches. Simulation examples illustrate the effectiveness of the proposed methods.