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http://dx.doi.org/10.5391/JKIIS.2006.16.2.138

Robust Intelligent Digital Redesign of Nonlinear System with Parametric Uncertainties  

Sung, Hwa-Chang (연세대학교 전기전자공학과)
Joo, Young-Hoon (군산대학교 전자정보공학부)
Park, Jin-Bae (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.16, no.2, 2006 , pp. 138-143 More about this Journal
Abstract
This paper presents intelligent digital redesign method for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a TS fuzzy model for the chaotic Lorentz system is used as an . example to guarantee the stability and effectiveness of the proposed method.
Keywords
혼돈 Lorentz 시스템;지능형 디지털 재설계;Takagi-Sugeno 퍼지 시스템;선형 행렬 부등식;쌍 선형과 역 쌍 선형 근사 방법;
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