Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays

T. Senthilkumar and P. Balasubramaniam

International Journal of Systems Science, 2011, vol. 42, issue 5, 877-887

Abstract: In this article, the problem of delay-dependent robust H∞ control for uncertain stochastic Takagi–Sugeno fuzzy systems with time-varying state and input delays is investigated. The parameter uncertainties are assumed to be time-varying and norm bounded. Through construction of a new Lyapunov–Krasovskii functional, the delay-dependent robust H∞ control scheme is presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the developed method.

Date: 2011
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DOI: 10.1080/00207721.2010.545493

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