The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

Design of Optimal Controller for TS Fuzzy Models and Its Application to Nonlinear Systems

TS 퍼지 모델을 이용한 최적 제어기 설계 및 비선형 시스템에서의 응용

  • Chang, Wook (Dept.of Electronics Engineering, Engineering College, Yonsei University) ;
  • Joo, Young-Hoon (Kunsan National University) ;
  • Park, Jin-Bae (Dept.of Electronics Engineering, Engineering College, Yonsei University)
  • 장욱 (연세대 공대 전기공학과) ;
  • 주영훈 (군산대 공대 전기전자제어공학부) ;
  • 박진배 (연세대 공대 전기공학과)
  • Published : 2000.02.01
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Abstract

This paper addresses the analysis and design of fuzzy control systems for a class of complex nonlinear systems. Firstly, the nonlinear system is represented by Takagi-Sugeno(TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller is composed of two processes. One is to determine the static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative methods for the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method, the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. A numerical simulation example is given to show the effectiveness and feasibiltiy of the proposed fuzzy controller design method.

Keywords

References

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