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http://dx.doi.org/10.5391/JKIIS.2005.15.7.881

Intelligent Digital Redesign for Uncertain Nonlinear Systems Using Power Series  

Sung Hwa Chang (연세대학교 전기전자공학과)
Park Jin Bae (연세대학교 전기전자공학과)
Go Sung Hyun (군산대학교 전자정보공학부)
Joo Young Hoon (군산대학교 전자정보공학부)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.15, no.7, 2005 , pp. 881-886 More about this Journal
Abstract
This paper presents intelligent digital redesign method of global approach 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 tile 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 power series, 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 tile 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
Chaotic Lorentz system; uncertain nonlinear systems; intelligent digital redesign; T-S fuzzy model; power series;
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