双対LMIに基づく線形時不変系のロバスト性能解析

Translated title of the contribution: Robust Performance Analysis of Uncertain LTI Systems based on Dual LMIs

蛯原 義雄, 松田 雄介

Research output: Contribution to journalArticle

Abstract

In this paper, we study a robust performance analysis problemof linear time-invariant (LTI) systems whose state space matrices depend polynomially on an uncertain parameter. Most of existing approaches to this problem is such thatwe recast the problem into a robust SDP by means of standard LMIs that characterize the performance. On the other hand, in the present paper, we firstly consider the dual of those LMIs and show that the robust performance analysis problem can be naturally reduced to an polynomial optimization problem with matrix variables. For this problem, we can readily construct a hierarchy of LMI relaxations whose infeasibility imply the fulfillment of the robust performance. In addition, in the case where the LMI relaxation has a feasible solution, we derive a rank condition with respect to the solution under which the robust performance is never attained.
Translated title of the contributionRobust Performance Analysis of Uncertain LTI Systems based on Dual LMIs
Original languageJapanese
Pages (from-to)172-172
Number of pages1
Journal自動制御連合講演会講演論文集
Volume51
Issue number0
DOIs
Publication statusPublished - 2008

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