An Iterative Method for the <i>H</i>₂ Control Problem Using <i>H</i>₂ Level Controller Sets and Its Application to the Mixed <i>H</i>₂/D-stability Control Problem

• KAMI Yasushi

  Department of Electrical and Computer Engineering Akashi National College of Technology

• NOBUYAMA Eitaku

  Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology

Bibliographic Information

Other Title

• <i>H</i>₂レベル制御器集合を用いた<i>H</i>₂最適制御系設計法と混合<i>H</i>₂/D-stability制御問題への応用
• An Iterative Method for the H2 Control Problem Using H2 Level Controller Sets and Its Application to the Mixed H2/D-stability Control Problem

Abstract

The purpose of this paper is to give a new iterativee algorithm for finding the globally optimal H₂ controller and to extend the algorithm to the mixed H₂/D-stability control problem. The key idea of our algorithm is to construct a “controller set” whose element improves the H₂ norm of the closed loop map for a given controller. Using the controller set we derive a controller sequence on which H₂ norm is monotonically non-increasing and that converges to the unconstraint H₂ optimal value. After then, using the controller set, we propose an iterative algorithm for finding a sub-optimal solution of the mixed H₂/D-stability control problem.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 41 (6), 491-498, 2005

  The Society of Instrument and Control Engineers

Keywords

• <i>H</i>₂ control
• multi-objective control
• level set
• controller sequence
• iterative algorithm

Details

• CRID: 1390282679481436288
• NII Article ID: 130003791979
• DOI: 10.9746/sicetr1965.41.491
• ISSN: 18838189
• ISSN: 04534654
• ISSN: http://id.crossref.org/issn/04534654
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/41/6/41_6_491/_pdf
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed