Delayed Feedback Control of Linear Systems with State Jump

• HIRATA Kentaro

  Graduate School ofEngineering, Osaka Prefecture University

• KOKAME Hideki

  Graduate School ofEngineering, Osaka Prefecture University

Bibliographic Information

Other Title

• 状態にジャンプを有する線形システムの遅延フィードバック制御
• ジョウタイ ニ ジャンプ オ ユウスル センケイ システム ノ チエン フィードバック セイギョ

Abstract

The effect of the delayed feedback control on the stability of periodic solutions of linear systems with sate jump is studied. Although the stability of the open-loop and the OGY feedback cases can be analyzed via matrix representations (Poincare map), the system with DFC requires an operator representation of the state transition on a certain function space due to the infinite-dimensionality caused by the time delay element in the controller. A stability condition is given in terms of the spectrum of this operator. Also an analytic formula and a numerical method for the computation of the spectrum are provided.

Journal

• Transactions of the Institute of Systems, Control and Information Engineers

  Transactions of the Institute of Systems, Control and Information Engineers 18 (3), 118-125, 2005

  THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

Keywords

• stability
• biped walking
• periodic solution
• piecewise affine

Details

• CRID: 1390282680142722944
• NII Article ID: 10014507860
• NII Article ID: 130002037798
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.18.118
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 7274586
• Web Site: http://id.ndl.go.jp/bib/7274586
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7274586
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed