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ROBUST $H_{\infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 2، دوره 6، شماره 1، اردیبهشت 2009، صفحه 1-14 اصل مقاله (219.91 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2009.214 | ||
نویسندگان | ||
Han-Liang Huang ![]() | ||
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China | ||
چکیده | ||
In this paper we consider the problem of delay-dependent robust H1 control for uncertain fuzzy systems with time-varying delay. The Takagi– Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay is assumed to have lower and upper bounds. Based on the Lyapunov-Krasovskii functional method, a sufficient condition for the existence of a robust $H_{\infty}$ controller is obtained. The fuzzy state feedback gains are derived by solving pertinent LMIs. The proposed method can avoid restrictions on the derivative of the time-varying delay assumed in previous works. The effectiveness of our method is demonstrated by a numerical example. | ||
کلیدواژهها | ||
$H_{\infty}$ control؛ Linear matrix inequality (LMI)؛ Delay-dependent؛ T–S fuzzy systems؛ Uncertainty | ||
مراجع | ||
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