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Machine Intelligence Research

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01-02-2013

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

Published in: Machine Intelligence Research | Issue 1/2013

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Abstract

In this paper, delay-dependent robust stabilization and H∞ 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∞ control problem, in addition to the mean-square asymptotic stability requirement, a prescribed H∞ 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.

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Title: 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
Publication date: 01-02-2013
Publisher: Springer-Verlag
Published in: Machine Intelligence Research / Issue 1/2013
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-013-0692-2

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