H2 state-feedback synthesis for discrete-time systems under positivity constraint

Yoshio Ebihara, Patrizio Colanoli, Jose C. Geromel

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

2 被引用数 (Scopus)

抄録

This paper is concerned with the H2 state-feedback synthesis problem for discrete-time systems under positivity constraint on the closed-loop systems. 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 semidefinite programs (SDPs) for the computation of the upper bounds of the achievable H2 performance as well as suboptimal gains. However, if we merely rely on the upper bound computation, we cannot draw any definite conclusion on the quality of the computed suboptimal gains. Thus the main issue of the present paper is the lower bound computation, and to this end we derive an SDP for that computation via specific treatment of the finite impulse resonse (FIR) with the idea of time-varying gain synthesis. We show that the lower bounds become tighter as we increase the length of the FIR. By numerical examples we show the soundness of the proposed strategy with upper and lower bounds computation.

本文言語英語
ホスト出版物のタイトルSICE ISCS 2018 - 2018 SICE International Symposium on Control Systems
出版社Institute of Electrical and Electronics Engineers Inc.
ページ39-46
ページ数8
ISBN(電子版)9784907764586
DOI
出版ステータス出版済み - 4 2 2018
外部発表はい
イベント2018 SICE International Symposium on Control Systems, SICE ISCS 2018 - Tokyo, 日本
継続期間: 3 9 20183 11 2018

出版物シリーズ

名前SICE ISCS 2018 - 2018 SICE International Symposium on Control Systems
2018-January

その他

その他2018 SICE International Symposium on Control Systems, SICE ISCS 2018
国/地域日本
CityTokyo
Period3/9/183/11/18

All Science Journal Classification (ASJC) codes

  • プロセス化学およびプロセス工学
  • エネルギー工学および電力技術
  • 電子工学および電気工学
  • 制御と最適化

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