H2 Control Performance Limitations for SIMO Linear Discrete-Time Systems

• HARA Shinji

  Department of Information Physics and Computing, Graduate School of Information Science and Technology, the University of Tokyo

• BAKHTIAR Toni

  Department of Information Physics and Computing, Graduate School of Information Science and Technology, the University of Tokyo

Bibliographic Information

Other Title

• １入力多出力線形離散時間系のＨ２制御性能限界
• 1 ニュウリョク タシュツリョク センケイ リサン ジカンケイ ノ H2 セイギョ セイノウ ゲンカイ

Abstract

This paper is concerned with intrinsic control performance limitations achievable by feedback for single-input and multi-output (SIMO) possibley unstable and non-minimum phase linear discrete-time systems. We investigate two typical H₂ optimal control problems, namely optimal tracking control problem and minmal energy control problem. We derive closed-form analytical expressions of the best achievable tracking error and minmal energy H₂ norms. The former consists of plant gain as well as unstable poles and non-minimum phase zeros of the plant, while the latter is only given by unstable poles and non-minimum phase zeros of the plant. Those results are confirmed by several numerical examples, and they characterize easiness and difficulty of plants to be controlled.

Journal

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

  Transactions of the Institute of Systems, Control and Information Engineers 19 (10), 391-399, 2006

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

Keywords

• performance limitations
• H<SUB>2</SUB> optimal control
• SIMO discrete-time system
• unstable poles/non-minimum phase zeros

Details

• CRID: 1390282680143122816
• NII Article ID: 10021999958
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.19.391
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 8086686
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8086686
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed