ROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH

نویسندگان

  • Fu-Gui Shi Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • Han-Liang Huang Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
چکیده مقاله:

In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzzy state feedback gains are derived by solvingpertinent LMIs. The proposed method can avoid restrictions on the derivativeof the time-varying delay assumed in previous works. The effectiveness of ourmethod is demonstrated by a numerical example.

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robust $h_{infty}$ control for t–s time-varying delay systems with norm bounded uncertainty based on lmi approach

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عنوان ژورنال

دوره 6  شماره 1

صفحات  1- 14

تاریخ انتشار 2009-02-11

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