Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)

The Korean Institute of Electrical Engineers (대한전기학회)
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Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation

계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계

  • Kim, Han-Sol (Department of Electrical Electronic Engineering, Yonsei University) ;
  • Joo, Young-Hoon (Department of Control Robot Engineering, Kunsan University) ;
  • Park, Jin-Bae (Department of Electrical Electronic Engineering, Yonsei University)
  • 김한솔 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 제어로봇공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2011.07.20
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Abstract

This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

Keywords