Switched system based approach to analysis and synthesis of discrete-time linear systems with time-varying state delay

  • Authors:

  • Xin Du;Guang-Hong Yang

  • Affiliations:

  • College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyan ...

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

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Abstract

This paper establishes a framework for stability analysis and memoryless state-feedback control synthesis of linear discrete-time systems with time varying state delay. The underlying idea is converting the considered system into an equivalent constrained switched system, leading to sufficient and necessary condition for stability analysis. Based on this switched system modeling, available information about the time-varying delay such as known bounds of variation rate can be incorporated into the analysis in a natural way. Moreover, sufficient conditions for memoryless state-feedback control design are obtained in a similar style. The analysis and synthesis conditions are given in terms of solvability of a set of linear matrix inequalities (LMIs). Numerical examples are included for illustration.