21世紀COE「超ロバスト計算原理プロジェクト」最適化/制御 セミナー

投稿日:2005/06/22投稿者:石井秀明
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        東京大学工学部計数工学科 システム情報談話会
21世紀COE「超ロバスト計算原理プロジェクト」最適化/制御 セミナー

日時: 7月11日(月) 15:00〜16:30

場所: 東京大学本郷キャンパス 工学部6号館3階 セミナー室A/D

講演者:岩崎 徹也 教授(バージニア大学機械航空宇宙工学科)

題目:Feedback Control Synthesis with General Frequency
      Domain Specifications

概要:
This talk is concerned with a feedback control synthesis
problem for linear systems to meet design specifications
given in terms of multiple frequency domain inequalities
in (semi)finite ranges. A new multiplier expansion is
proposed to convert the synthesis condition to a linear
matrix inequality (LMI) condition through the linearizing
change of variables. In the single objective setting, the
LMI condition may or may not be conservative, depending
upon the choice of the basis for the multiplier expansion.
We provide a qualification for the basis matrix to yield
nonconservative LMI conditions. It turns out to be difficult
to determine the basis matrix meeting such qualification
in general. However, it is shown that qualified bases can
be found for some cases, and that the qualification can be
used to find reasonable choices of the basis for other cases.
Finally, the synthesis method is extended to the multiple
objective case where a sufficient condition is given for
the existence of a controller to meet the specification.


連絡先:  原辰次     (Shinji_Hara@ipc.i.u-tokyo.ac.jp)
         石井秀明   (Hideaki_Ishii@ipc.i.u-tokyo.ac.jp)

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