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| Keywords | |
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neutral Markov jump system (MJS) |
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Takagi-Sugeno fuzzy model |
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time-delay |
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uncertainty |
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linear matrix inequality (LMI) |
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| PubMed | |
Controlling uncertain fuzzy neutral dynamic systems with Markov jumps
Shuping He1,2 and Fei Liu1,2,*
1. Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education,
Jiangnan University, Wuxi 214122, P. R. China;
2. Institute of Automation, Jiangnan University, Wuxi 214122, P. R. China
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.