Robust output feedback stabilization for uncertain discrete-time fuzzy Markovian jump systems with time-varying delays

  • Authors:
  • Yashun Zhang;Shengyuan Xu;Baoyong Zhang

  • Affiliations:
  • School of Automation, Nanjing University of Science and Technology, Nanjing, China;School of Automation, Nanjing University of Science and Technology, Nanjing, China;School of Automation, Nanjing University of Science and Technology, Nanjing, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

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Abstract

This paper provides a delay-dependent approach to the design of fuzzy dynamic output feedback controllers for uncertain discrete-time fuzzy Markovian jump systems with interval time-varying delays. First, by a fuzzy-basis-dependent and mode-dependent Lyapunov functional, a stochastic stability condition is derived by using the Finsler's lemma. Second, in terms of linear matrix inequalities (LMIs), a delay-dependent sufficient condition is presented, under which there exists a fuzzy output feedback controller such that the resulting closed-loop system is robustly stochastically stable. A desired controller can be constructed when these LMIs are feasible. Finally, the effectiveness of the proposed design method is demonstrated by a simulation example.