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Circle Criterion을 이용한 FLC의 안정도에 대한 고찰
이경웅(Kyoungwoong Lee),최한수(Hansoo choi) 제어로봇시스템학회 2009 제어·로봇·시스템학회 논문지 Vol.15 No.5
Most of FLC received input data from error e and change-of-error e’ with no relation with system complexity. Basic scheme follows typical PD and PI or PID Controller and that has been developed through fixed MF. In this paper, We studied the relationship between MF and system response and system response through changing Fuzzy variable of consequence MF and propose the simple FLC using this relationship. The response of FLC is changed according to the width of Fuzzy variable of consequence MF. As changing the Fuzzy variable of consequence MF shows various nonlinear characteristic, we studied the relation between response and MF using analytical method. We designed the effective FLC using three-variable MF and nine rules and took simulation for verification. In this study, we propose the method to design system with FLC in stability point which is an impotent characteristic of designing system. The circle criterion which is adapted to analysis the nonlinear system is put to use for proposed method. Since SISO FLC has a time-invariant and odd characteristic we can use the critical point not disk which is generally used to determine the stability in the circle criterion, to determine the stability. Using this, we can get the maximum critical point plot of SISO FLC with changing the consequence fuzzy variables. The predetermined critical point plot of FLC can be used to decide the region of the system to be stable. This method is effectively used to design the SISO FLC.