대한전기학회:학술대회논문집 (Proceedings of the KIEE Conference)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

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

Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation

  • 김한솔 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 제어로봇공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • 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)
  • 발행 : 2011.07.20
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초록

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.

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