파라미터에 종속적인 리아푸노프 함수 기법에 의한 불확실 시간지연 시스템을 위한 강인한 $L_2-L_{\infty}$ 필터 설계

• Choi, Hyoun-Chul (ASRI, School of Electrical Engineering and Computer Science, Seoul National University) ;
• Jung, Jin-Woo (ASRI, School of Electrical Engineering and Computer Science, Seoul National University) ;
• Shim, Hyung-Bo (ASRI, School of Electrical Engineering and Computer Science, Seoul National University) ;
• Seo, Jin-H. (ASRI, School of Electrical Engineering and Computer Science, Seoul National University)
• 최현철 (서울대학교 전기.컴퓨터 공학부) ;
• 정진우 (서울대학교 전기.컴퓨터 공학부) ;
• 심형보 (서울대학교 전기.컴퓨터 공학부) ;
• 서진헌 (서울대학교 전기.컴퓨터 공학부)
• Published : 2008.10.31

Abstract

An LMI-based method for robust $L_2-L_{\infty}$ filter design is proposed for poly topic uncertain time-delay systems. By using the Projection Lemma and a suitable linearizing transformation, a strict LMI condition for $L_2-L_{\infty}$ filter design is obtained, which does not involve any iterations for design-parameter search, any couplings between the Lyapunov and system matrices, nor any system-dependent filter parameterization. Therefore, the proposed condition enables one to easily adopt, with help of efficient numerical solvers, a parameter-dependent Lyapunov function approach for reducing conservatism, and to design both robust and parameter-dependent filters for uncertain and parameter-dependent time-delay systems, respectively.