LTI model realization problem of linear periodic discrete-time systems

  • Su, Laiping (Department of Information and Computer Sciences, Toyohashi Univ. of Technology) ;
  • Saito, Osami (Department of Information and Computer Sciences, Toyohashi Univ. of Technology) ;
  • Abe, Kenichi (Department of Information and Computer Sciences, Toyohashi Univ. of Technology)
  • Published : 1990.10.01

Abstract

In this paper, we consider linear periodic discrete-time control systems under periodic compensation. Such a closed-loop system generally represents a periodic time-varying system. We examine the problem of finding a compensator such that the closed-loop system is realized as LTI model (if possible) with the closed-loop stability being satisfied. We present a necessary and sufficient condition for solving such problem and also give the characterization of realizable LTI models.

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