OPTIMIZATION IN CONTROL SYSTEM DESIGN

• Fujioka Hisaya

  Kyoto,University

• Wakasa Yuji

  Kyoto,University

• Yamamoto Yutaka

  Kyoto,University

抄録

This paper reviews i) the background for the modern H^∞ control theory, and then ii) how it led to the modern optimization theory such as those using LMIs (linear matrix inequalities) and BMIs (bilinear matrix inequalities). Starting from the simplest sensitivity minimization problem, we give solutions via the Nevalinna-Pick interpolation and the Nehari theorem. The latter leads to a Riccati equation on which most of the H^∞ solutions are based. This in turn leads to the modern approach using mathematical programming such as LMIs and BMIs. Two types of global optimization algorithms to solve BMIs are introduced.

収録刊行物

• 日本オペレーションズ・リサーチ学会論文誌

  日本オペレーションズ・リサーチ学会論文誌 43 (1), 48-70, 2000

  公益社団法人 日本オペレーションズ・リサーチ学会

キーワード

• Management Science and Operations Research
• General Decision Sciences

詳細情報

• CRID: 1390001204109432448
• NII論文ID: 110001183902
• NII書誌ID: AA00703935
• DOI: 10.15807/jorsj.43.48
• ISSN: 21888299
• ISSN: 04534514
• NDL書誌ID: 5316460
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5316460
• Web Site: https://www.jstage.jst.go.jp/article/jorsj/43/1/43_KJ00001201959/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可