Static State Feedback Controller Design for the Differentially Flat Systems via Minimum Projection Method

• KUGA Soki

  Graduate School of Science and Technology, Tokyo University of Science

• NAKAMURA Hisakazu

  Graduate School of Science and Technology, Tokyo University of Science

• SATOH Yasuyuki

  Faculty of Engineering, Tokyo University of Science

Bibliographic Information

Other Title

• 最小射影法を使った微分フラットシステムに対する静的状態フィードバック制御系設計
• サイショウ シャエイホウ オ ツカッタ ビブン フラット システム ニ タイスル セイテキ ジョウタイ フィードバック セイギョケイ セッケイ

Abstract

We propose a “static” C^∞ differentiable control Lyapunov function (CLF) design method for differentially flat systems by dynamic extension and minimum projection method. For differentially flat systems, “dynamic” CLF with dynamic compensators are designed. Our proposed “static” CLF is obtained by the reduction of the “dynamic” CLF. Then we design a static state feedback controller with the obtained static CLF. Finally we show an example to show that our proposed static CLF based controller can stabilizes the origin of the system.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 54 (12), 865-871, 2018

  The Society of Instrument and Control Engineers

Keywords

• nonlinear control
• differentially flat systems
• minimum projection method
• control Lyapunov function
• static state feedback control

Details

• CRID: 1390845713030707328
• NII Article ID: 130007525229
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr.54.865
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 029408326
• Web Site: http://id.ndl.go.jp/bib/029408326
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I029408326
• Web Site: https://www.jstage.jst.go.jp/article/sicetr/54/12/54_865/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed