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Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay

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  • Li Li
  • Qingling Zhang
  • Yi Zhang
  • Baoyan Zhu

Abstract

This paper investigates the problem of fuzzy control for a class of nonlinear singular Markovian jump systems with time delay. This class of systems under consideration is described by Takagi-Sugeno (T-S) fuzzy models. Firstly, sufficient condition of the stochastic stabilization by the method of the augmented matrix is obtained by the state feedback. And a designed algorithm for the state feedback controller is provided to guarantee that the closed-loop system not only is regular, impulse-free, and stochastically stable but also satisfies a prescribed performance for all delays not larger than a given upper bound in terms of linear matrix inequalities. Then fuzzy control for this kind of systems is also discussed by the static output feedback. Finally, numerical examples are given to illustrate the validity of the developed methodology.

Suggested Citation

  • Li Li & Qingling Zhang & Yi Zhang & Baoyan Zhu, 2015. "Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:896515
    DOI: 10.1155/2015/896515
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