Delay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays

Document Type: Research Paper

Authors

1 Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram - 624 302, Tamilnadu, India

2 Department of Mathematics, Gandhigram Rural Institute- Deemed University, Gandhigram - 624 302, Tamilnadu, India

Abstract

In this paper, the problems of robust stabilization and
$H_{infty}$ control for uncertain stochastic systems with
multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy
model have been studied. By constructing a new Lyapunov-Krasovskii
functional (LKF) and using the bounding techniques, sufficient
conditions for the delay-dependent robust stabilization and $
H_{infty}$ control scheme are presented in terms of linear matrix
inequalities (LMIs). By solving these LMIs, a desired fuzzy
controller can be obtained which can be easily calculated by
Matlab LMI control toolbox. Finally, a numerical simulation is
given to illustrate the effectiveness of the proposed method.

Keywords


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