オハラ　アツミ   Atsumi Ohara   小原　敦美    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   教授
発行・発表の年月	1995
形態種別	国内学会誌（その他）
査読	査読あり
標題	LMI条件をみたすコントローラの統一的構成法
執筆形態	共著・編著（代表編著を除く）
掲載誌名	計測自動制御学会論文集
掲載区分	国内
出版社・発行元	The Society of Instrument and Control Engineers
巻・号・頁	31(10),1586-1594頁
著者・共著者	増淵 泉,小原 敦美,須田 信英
概要	Linear matrix inequalities (LMIs) describe algebraic conditions for various important properties of finite-dimensional linear systems. In this paper, we propose a unified synthesis method of controllers that satisfy LMI-conditions belonging to a certain class, which we define focusing on a structure shared by many LMIs in control theory. The class includes LMIs for some root-clustering conditions, the H∞ norm conditions and the H2 norm conditions for both continuous-time systems and discrete-time systems, and arbitrary combinations of these LMIs. The method reduces a synthesis problem to a convex optimization problem to solve a certain LMI on a finite-dimensional parameter space. A controller that solves the synthesis problem is always full-order, and we also parametrize the set of such full-order controllers with a convex parameter set. When the state of the plant is available, there exist static state feedback solutions if the problem is solvable.
DOI	10.9746/sicetr1965.31.1586
ISSN	0453-4654
NAID	130003791025
PermalinkURL	https://jlc.jst.go.jp/DN/JALC/00036015634?from=CiNii