2D Optimal Control in a Practical Sense and Its Application to Learning Control Systems

• YAMADA Minoru

  Gifu National College of Technology

• XU Li

  School of Business Administration, Asahi University

• SAITO Osami

  Faculty of Engineering, Chiba University

Bibliographic Information

Other Title

• Practicalな条件に基づく2次元最適制御とその学習制御系への応用
• Practical ナ ジョウケン ニ モトヅク 2ジゲン サイテキ セイギョ ト ソノ ガクシュウ セイギョケイ エ ノ オウヨウ

Abstract

This paper deals with a LQR problem for 2D (2-dimensional) systems in the case that one independent variable is bounded but the other is unbounded. First, we formulate the 2D LQR problem for Roesser model. Then it is shown that the problem can be reduced to an equivalent LQR problem for 1D systems, and thus, can be solved by 1D theory. The obtained controller has one direction causality. The relationship between the solvability conditions obtained for the equivalent 1D system and the practical stabilizability and detectability of the original 2D plant is clarified. Based on these results, its application to the design of an iterative learning control system is shown. Finally, a numerical example is also given to verify the effectiveness.

Journal

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

  Transactions of the Institute of Systems, Control and Information Engineers 12 (12), 702-710, 1999

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

Keywords

• 2D systems
• optimal control
• causality
• learning control systems

Details

• CRID: 1390282680142332672
• NII Article ID: 10004473746
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.12.702
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 4922417
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4922417
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed