H2 State-Feedback Synthesis under Positivity Constraint: Upper and Lower Bounds Computation of the Achievable Performance

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

10 被引用数 (Scopus)

抄録

This paper is concerned with the H-{2} state- feedback synthesis problem under positivity constraint on the closed-loop system. This problem is believed to be a non-convex problem and hence exact treatment is not known to this date. With this difficulty in mind, in this paper, we first derive several semidefinite programs (SDPs) for the computation of the upper bounds of the achievable performance as well as suboptimal gains. However, if we rely only on the upper bound computation, we cannot say anything quantitatively on the quality of the computed suboptimal gains. For such quantitative evaluation, we next derive an SDP for the lower bound computation of the achievable performance. The key idea in deriving such an SDP is that, if the closed-loop system is positive, then the Lya- punov variable in the standard SDP for the H-{2} state-feedback synthesis should be (elementwise) nonnegative. By numerical examples, we illustrate the effectiveness and limitation of the proposed strategy with upper and lower bounds computation. Keywords: H-{2} state-Feedback synthesis, positivity constraint, upper and lower bound computation.

本文言語英語
ホスト出版物のタイトル2018 European Control Conference, ECC 2018
出版社Institute of Electrical and Electronics Engineers Inc.
ページ2867-2872
ページ数6
ISBN(電子版)9783952426982
DOI
出版ステータス出版済み - 11月 27 2018
外部発表はい
イベント16th European Control Conference, ECC 2018 - Limassol, キプロス
継続期間: 6月 12 20186月 15 2018

出版物シリーズ

名前2018 European Control Conference, ECC 2018

会議

会議16th European Control Conference, ECC 2018
国/地域キプロス
CityLimassol
Period6/12/186/15/18

!!!All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学
  • 制御と最適化

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