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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۲، صفحات ۸۹-۱۱۱
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عنوان فارسی |
Delay-dependent robust stabilization and $H_{infty}$
control for uncertain stochastic T-S fuzzy systems with multiple
time delays |
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چکیده فارسی مقاله |
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. |
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کلیدواژههای فارسی مقاله |
Takagi-Sugeno (T-S) fuzzy systems، Robust $H_{infty}$ control، Stochastic system، Linear matrix inequalities (LMIs)، Multiple time
delays، Lyapunov-Krasovskii functional (LKF)، |
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عنوان انگلیسی |
Delay-dependent robust stabilization and $H_{infty}$
control for uncertain stochastic T-S fuzzy systems with multiple
time delays |
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چکیده انگلیسی مقاله |
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. |
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کلیدواژههای انگلیسی مقاله |
Takagi-Sugeno (T-S) fuzzy systems, Robust $H_{infty}$ control, Stochastic system, Linear matrix inequalities (LMIs), Multiple time
delays, Lyapunov-Krasovskii functional (LKF) |
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نویسندگان مقاله |
T. Senthilkumar | Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
P. Balasubramaniam | Department of Mathematics, Gandhigram Rural Institute-
Deemed University, Gandhigram - 624 302, Tamilnadu, India
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نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_210_c71a2f62a18060ea4d8bb698859af37c.pdf |
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en |
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