Delay-range-dependent robust stabilisation and control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters

P. Balasubramaniam and T. Senthilkumar

International Journal of Systems Science, 2013, vol. 44, issue 1, 187-200

Abstract: This article focuses on the problems of robust stabilisation and H∞ control for nonlinear uncertain stochastic systems with mode-dependent time delay and Markovian jump parameters represented by the Takagi–Sugeno (T-S) fuzzy model approach. The system under consideration involves parameter uncertainties, Itô-type stochastic disturbances, Markovian jump parameters and unknown nonlinear disturbances. The purpose is to design a state feedback controller such that the closed-loop system is robustly exponentially stable in the mean square and satisfies a prescribed H∞ performance level. Novel delay-range-dependent conditions in the form of linear matrix inequalities (LMIs) are derived for the solvability of robust stabilisation and H∞ control problem. A desired fuzzy controller can be constructed by solving a set solutions of LMIs and can be easily calculated by Matlab LMI control toolbox. Finally, a numerical example is presented to illustrate the proposed method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:44:y:2013:i:1:p:187-200

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DOI: 10.1080/00207721.2011.600470

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