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http://dx.doi.org/10.5391/JKIIS.2009.19.6.779

H∞ Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay  

Lee, Kap-Rai (평택대학교 정보통신학과)
Lee, Kyung-Hee (평택대학교 정보통신학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.6, 2009 , pp. 779-786 More about this Journal
Abstract
This paper deals with $H_{\infty}$ fuzzy control problem of discrete-time nonlinear Markovian jump systems with time delay. The Takgi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the Markovian jump fuzzy system with time delay. Stochastic Lyapunov function is dependent on the operation modes of the system. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller are given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficient of the proposed design methods.
Keywords
Discrete-time systems; Delayed Markovian jump fuzzy systems; Stability analysis; $H_{\infty}$ fuzzy control;
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Times Cited By KSCI : 1  (Citation Analysis)
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