Two-Step Design Method for Strictly Positive Real <I>H</I><SUB>2</SUB> Controllers

• SHIMOMURA Takashi

  Graduate School of Engineering Science, Osaka University

• TOKURA Takaaki

  Toyota Motor Corporation

• FUJII Takao

  Graduate School of Engineering Science, Osaka University

Bibliographic Information

Other Title

• 強正実<I>H</I><SUB>2</SUB>コントローラの二段階設計法
• キョウ セイ ジツ H2 コントローラ ノ 2ダンカイ セッケイホウ

Abstract

This paper proposes an interesting technique for LMI-based multiobjective control design. We deal with strictly positive real H₂ controller synthesis. If we partially fix both LMI solutions and controllers in the first step, a set of jointly convex LMI formula is obtained in the second step. The first step restricts the range of the parameter set to some degree, and the second step searches within these boundaries. However, if these constraints include the standard result for a common LMI solution, then the second step may improve this result while allowing uncommon LMI solutions. A numerical example is included.

Journal

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

  Transactions of the Institute of Systems, Control and Information Engineers 13 (2), 103-109, 2000

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

Keywords

• SPR
• H<SUB>2</SUB>
• LMI
• two-step design
• convexity

Details

• CRID: 1390282680142033152
• NII Article ID: 10004472842
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.13.103
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 5283051
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5283051
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed