Stability Analysis of a Simple-Structured Fuzzy Logic Controller

Authors:
Byung-Jae Choi;Seong-Woo Kwak;Hua Wang
Affiliations:
School of Electronic Eng., Daegu University, Jinryang Gyungsan Gyungbuk, Korea 712-714;Department of Electronic Eng., Keimyung University, Sindang-dong, Korea 704-701;Dept. of Aerospace and Mechanical Eng., Boston University, Boston, USA 02215
Venue:
Journal of Intelligent and Robotic Systems
Year:
2005

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Abstract

The stability analysis for the fuzzy logic controller (FLC) has widely been reported. Furthermore some researches have been introduced to simplify the design process of FLC's. One of them is to decrease the number of parameters representing the antecedent part of the fuzzy control rule. So we briefly explain a simple-structured fuzzy logic controller (SFLC) which uses only a single variable at the antecedent part of a fuzzy control rule. We analyze that it is absolutely stable based on the sector bounded condition. We expand a nonlinear controlled plant into a Taylor series about a nominal operating point. The fuzzy control system is transformed into a Lure system with nonlinearities. We also show the feasibility of the proposed stability analysis through a numerical example of a mass-damper-spring system.