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http://dx.doi.org/10.5391/JKIIS.2008.18.6.762

L∞-gained State Feedback Control for Continuous Fuzzy Systems with Time-Delay  

Lee, Dong-Hwan (연세대학교 전기전자공학과)
Joo, Young-Hoon (군산대학교 전자정보공학부)
Park, Jin-Bae (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.18, no.6, 2008 , pp. 762-767 More about this Journal
Abstract
This paper introduces a $L_{\infty}$-gain state feedback fuzzy controller design for the time delay nonlinear system represented by Takagi-Sugeno(T-S) fuzzy model. First, the T-S fuzzy model is employed to represent the time delay nonlinear system. Next based on the fuzzy model, a fuzzy state feedback controller is developed to achieve $L_{\infty}$-gain performance. Finally, sufficient conditions are derived for $L_{\infty}$-gain performance. The sufficient conditions are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed controller design methonology is finally demonstrated through numerical simulations.
Keywords
Time delay; $L_{\infty}$-gain; T-S fuzzy model; Nonlinear system; Linear matrix inequalities;
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