Delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time delays

Authors:
Yashun Zhang;Shengyuan Xu;Yun Zou;Jinjun Lu
Affiliations:
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;School of Electrical Engineering, Nantong University, Nantong 226019, PR China
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

This paper deals with the problem of delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time-varying delays. A delay-dependent stochastic stability condition for a fuzzy Markovian jump system with two levels of structure is obtained based on a new Lyapunov functional. The Lyapunov functional depends not only on the fuzzy basis functions but also on the system modes. Furthermore, a delay-dependent sufficient condition for the solvability of the robust stabilization problem is proposed in terms of linear matrix inequalities. Finally, a simulation example is given to show the effectiveness of the proposed design method.