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RISS 인기검색어
- 검색키워드
- 저자 : Yoshio Ebihara (검색결과 2 건)
- 무료
- 기관 내 무료
- 유료
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Robustness Analysis of Uncertain Discrete-Time Linear Systems based on System Lifting and LMIs
Yoshio Ebihara,D. Peaucelle,Arzelier 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
In this paper, we propose novel LMI conditions for the stability and l2 gain performance analysis of discrete-time linear periodically time-varying(LPTV) systems. These LMIs are convex with respect to all of the coefficient matrices of the LPTV systems and this property is expected to be promising when dealing with everal control system analysis and synthes is problems. For example, we can apply those LMIs straight for wadly to robust performance analysis problems of LPTV systems that are affected by polytopic-type uncertainties. Even though our approach for robust perfor-mance analysis is conservative in general, we can reduce the conservatism gradually by artificially regarding the original N-periodic system as pN-periodic and increasing p. In addition, thanks to the simple structure of the LMI conditions, we can readily derive aviable test to verify the exactness of the computation results.
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Dual LMI Approach to Linear Positive System Analysis
Yoshio Ebihara 제어로봇시스템학회 2012 제어로봇시스템학회 국제학술대회 논문집 Vol.2012 No.10
This paper is concerned with the dual-LMI-based analysis of linear positive systems. As the first contribution, we will show that the cerebrated Perron-Frobenius theorem can be proved concisely via a duality-based argument. On the other hand, in the second part of the paper, we extend the well-known result that a stable Metzler matrix admits a diagonal Lyapunov matrix as the solution of the Lyapunov inequality. More precisely, again via a duality-based argument, we will clarify a necessary and sufficient condition under which a stable Metzler matrix admits a diagonal Lyapunov matrix with some identical diagonal entries. This new result leads to an alternative proof for the recent result by Tanaka and Langbort on the existence of a diagonal Lyapunov matrix for the LMI characterizing the L2 gain of positive systems.
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