Controlling uncertain fuzzy neutral dynamic systems with Markov jumps |
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Authors: | Shuping He Fei Liu |
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Institution: | 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 |
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Abstract: | 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. |
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Keywords: | neutral Markov jump system(MJS) Takagi-Sugeno fuzzy model time-delay uncertainty linear matrix inequality(LMI) |
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