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Controlling uncertain fuzzy neutral dynamic systems with Markov jumps

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2 Author(s)
He, Shuping ; Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi 214122, P. R. China; Institute of Automation, Jiangnan University, Wuxi 214122, P. R. China ; Liu, Fei

The robust H control problems for stochastic fuzzy neutral Markov jump systems (MJSs) with parameters uncertainties and multiple time-delays are considered. The delays are respectively considered as constant and time varying, and the uncertain parameters are assumed to be norm bounded. By means of Takagi-Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By selecting the appropriate Lyapunov-Krasovskii functions, the sufficient condition is given such that the uncertain fuzzy neutral MJSs are stochastically stability for all admissible uncertainties and satisfies the given H control index. The stability and H control criteria are formulated in the form of linear matrix inequalities, which can be easily checked in practice. Practical examples illustrate the effectiveness of the developed techniques.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:21 ,  Issue: 3 )

Date of Publication:

June 2010

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