Delay-dependent robust stabilization and H∞ control for uncertain stochastic T-S fuzzy systems with discrete interval and distributed time-varying delays

Authors:
P. Balasubramaniam;T. Senthilkumar
Affiliations:
Department of Mathematics, Gandhigram Rural University, Gandhigram, India 624 302;Department of Mathematics, Gandhigram Rural University, Gandhigram, India 624 302
Venue:
International Journal of Automation and Computing
Year:
2013

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Abstract

In this paper, delay-dependent robust stabilization and H 驴 control for uncertain stochastic Takagi-Sugeno (T-S) fuzzy systems with discrete interval and distributed time-varying delays are discussed. The purpose of the robust stochastic stabilization problem is to design a memoryless state feedback controller such that the closed-loop system is mean-square asymptotically stable for all admissible uncertainties. In the robust H 驴 control problem, in addition to the mean-square asymptotic stability requirement, a prescribed H 驴 performance is required to be achieved. Sufficient conditions for the solvability of these problems are proposed in terms of a set of linear matrix inequalities (LMIs) and solving these LMIs, a desired controller can be obtained. Finally, two numerical examples are given to illustrate the effectiveness and less conservativeness of our results over the existing ones.