OPTIMIZATION IN CONTROL SYSTEM DESIGN

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概要

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• 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.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Wakasa Yuji

  Kyoto University

• Fujioka Hisaya

  Kyoto University

• Yamamoto Yutaka

  Kyoto,University

• Yamamoto Yutaka

  Kyoto University

関連論文

• OPTIMIZATION IN CONTROL SYSTEM DESIGN

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