Optimal Feedback Control of Nonlinear Distributed Parameter Systems Based on Model Reduction

• HAMAGUCHI Kenichi

  Graduate School of Informatics, Kyoto University

• NISHIDA Gou

  Graduate School of Informatics, Kyoto University

• SAKAMOTO Noboru

  Graduate School of Engineering, Nagoya University

• YAMAMOTO Yutaka

  Graduate School of Informatics, Kyoto University

Bibliographic Information

Other Title

• モデル縮約に基づく非線形偏微分方程式の最適フィードバック制御
• モデルシュクヤク ニ モトズク ヒセンケイヘンビブン ホウテイシキ ノ サイテキ フィードバック セイギョ

Abstract

This paper proposes a suboptimal feedback controller design for nonlinear distributed parameter systems via stable manifold method. Stable manifold method provides approximate stabilizing solutions of Hamilton-Jacobi equations in nonlinear optimal control theory. We apply this method to a reduced-order system obtained from proper orthogonal decomposition and Galerkin projection. The feasibility of the design is demonstrated by a numerical example of the feedback controls for the viscous Burgers' equation.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 51 (3), 181-188, 2015

  The Society of Instrument and Control Engineers

Keywords

• distributed-parameter systems
• nonlinear optimal control
• proper orthogonal decomposition

Details

• CRID: 1390282679484380160
• NII Article ID: 130004855741
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr.51.181
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 026263219
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026263219
• Web Site: https://www.jstage.jst.go.jp/article/sicetr/51/3/51_181/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed