弱結合マルチチャネル確率システムのための<i>H</i>₂静的出力フィードバック制御系設計

• 向谷 博明

  広島大学大学院工学研究院

書誌事項

タイトル別名

• Design of <i>H</i>₂ Static Output Feedback Control for Weakly Coupled Multi-channel Stochastic Systems
• ジャク ケツゴウ マルチチャネル カクリツ システム ノ タメ ノ H ₂ セイテキ シュツリョク フィードバック セイギョケイ セッケイ

抄録

This paper investigates a design of decentralized H₂ static output feedback control for multi-channel linear time-invariant stochastic systems governed by Itô's differential equation. Necessary and sufficient conditions based on cross-coupled stochastic algebraic Riccati equations (CSAREs) for the existence of the strategy set are derived. In order to prove the usefulness of the proposed methodology, the extension to weakly-coupled large-scale stochastic systems is also considered. It is shown that the parameter-independent strategy set can be designed by solving the reduced-order stochastic algebraic Riccati equations (SAREs). Furthermore, as a novel contribution, the degradation of H₂ norm for the closed-loop stochastic systems by means of the parameter independent strategy set is discussed. A numerical example is given to demonstrate the useful feature obtained.

収録刊行物

• 計測自動制御学会論文集

  計測自動制御学会論文集 49 (2), 292-301, 2013

  公益社団法人 計測自動制御学会

キーワード

• multi-channel stochastic systems
• <i>H</i>₂ control
• weakly coupled large-scale stochastic systems
• cross-coupled stochastic algebraic Riccati equations (CSAREs)
• approximate strategy set

詳細情報

• CRID: 1390001204504400256
• NII論文ID: 10031154998
• NII書誌ID: AN00072392
• DOI: 10.9746/sicetr.49.292
• ISSN: 18838189
• ISSN: 04534654
• NDL書誌ID: 024321039
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I024321039
• Web Site: https://www.jstage.jst.go.jp/article/sicetr/49/2/49_292/_pdf
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
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  • KAKEN
• 抄録ライセンスフラグ: 使用不可