Journal of the Institute of Electronics Engineers of Korea SC (전자공학회논문지SC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Guaranteed Cost and $H_{\infty}$ Filtering for Delayed Fuzzy Dynamic Systems

시간지연 퍼지 시스템의 보장비용 및 $H_{\infty}$ 필터링

  • 이갑래 (평택대학교 정보과학부) ;
  • 조희수 (서울지방중소기업청) ;
  • 박홍배 (경북대학교 전자전기컴퓨터학부)
  • Published : 2003.03.01
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Abstract

This paper presents a method for designing guaranteed cost fuzzy filter with a desired H$_{\infty}$ disturbance rejection constraint of delayed fuzzy dynamic systems. This method not only guarantees an induced L$_2$ norm bound constraint on disturbance attenuation, but also minimizes an upper bound on a linear quadratic performance measure. A sufficient condition for the existence of guaranteed cost fuzzy filter with H$_{\infty}$ constraint is then presented in terms of linear matrix inequalities(LMIs). A simulation example is given to illustrate the design procedures and performances of the proposed methods.

본 논문은 시간지연을 갖는 퍼지 시스템에 대한 보장 비용과 H/sub ∞/ 외란감쇄 성능을 갖는 퍼지 필터링 문제를 다룬다. 본 연구는 외란감쇄에 대한 확장 L₂ 노옴 제한조건과 LQ 비용함수의 성능 상한치 제한조건을 만족하는 필터링 설계 방법이다. Lyapunov 함수를 이용하여 필터의 존재성에 대한 충분조건을 유도하고 선형행렬부등식(LMI: linear matrix inequality)으로 나타낸다. 필터 설계는 LMI 해를 구함으로써 바로 구할 수 있다. 제안한 방법의 설계 과정을 설명하기 위한 시뮬레이션 예제를 또한 나타낸다.

Keywords

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