LMIによる分散安定化制御装置の一設計法

Translated title of the contribution: A Design Method of Decentralized Stabilizing Controllers Using LMI’s

野崎 尚広, 蛯原 義雄, 萩原 朋道

Research output: Contribution to journalArticle

Abstract

A number of design methods for output-feedback decentralized stabilizing controllers have been proposed for large-scale linear systems. In the centralized case, it is well known that this output-feedback synthesis problem is reduced to an optimization problem of linear matrix inequalities (LMI’s). In this paper, to design decentralized controllers, we restrict some variables of those LMI’s to block-diagonal forms. However, since this restriction is not enough to obtain decentralized controllers, we also introduce a certain replacement of variables. Since the latter causes the LMI’s to turn into bilinear matrix inequalities (BMI’s), we convert BMI’s into LMI’s by fixing some variables in the BMI’s. We get two kinds of LMI’s which are obtained by fixing some variables and solve those LMI’s alternately. The effectiveness of this design method is illustrated by numerical examples.
Translated title of the contributionA Design Method of Decentralized Stabilizing Controllers Using LMI’s
Original languageUndefined/Unknown
Pages (from-to)14-14
Number of pages1
Journalシステム制御情報学会 研究発表講演会講演論文集
Volume2
Issue number0
DOIs
Publication statusPublished - 2002

Fingerprint Dive into the research topics of 'A Design Method of Decentralized Stabilizing Controllers Using LMI’s'. Together they form a unique fingerprint.

Cite this