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Controlling uncertain fuzzy neutral dynamic systems with Markov jumps

Controlling uncertain fuzzy neutral dynamic systems with Markov jumps
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摘要 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. 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.
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第3期476-484,共9页 系统工程与电子技术(英文版)
基金 supported by the National Natural Science Foundation of China (60974001 60904045) the National Natural Science Foundation of Jiangsu Province (BK2009068) the Six Projects Sponsoring Talent Summits of Jiangsu Province the Program for Postgraduate Scientific Research and Innovation of Jiangsu Province
关键词 neutral Markov jump system(MJS) Takagi-Sugeno fuzzy model TIME-DELAY UNCERTAINTY linear matrix inequality(LMI). neutral Markov jump system(MJS),Takagi-Sugeno fuzzy model,time-delay,uncertainty,linear matrix inequality(LMI).
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