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Delay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 8، دوره 9، شماره 2، تابستان 2012، صفحه 89-111 اصل مقاله (214.15 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.210 | ||
نویسندگان | ||
T. Senthilkumar1؛ P. Balasubramaniam ![]() ![]() | ||
1Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram - 624 302, Tamilnadu, India | ||
2Department of Mathematics, Gandhigram Rural Institute- Deemed University, Gandhigram - 624 302, Tamilnadu, India | ||
چکیده | ||
In this paper, the problems of robust stabilization and $H_{infty}$ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and $ H_{infty}$ control scheme are presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained which can be easily calculated by Matlab LMI control toolbox. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method. | ||
کلیدواژهها | ||
Takagi-Sugeno (T-S) fuzzy systems؛ Robust $H_{infty}$ control؛ Stochastic system؛ Linear matrix inequalities (LMIs)؛ Multiple time delays؛ Lyapunov-Krasovskii functional (LKF) | ||
مراجع | ||
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