極配置―安定半径改善問題の一解法

• 川端 啓史

  京都工芸繊維大学大学院情報工学専攻

• 森 武宏

  京都工芸繊維大学大学院情報工学専攻

書誌事項

タイトル別名

• A Solution Method for Pole Placement and Stability Radius Enlargement Problem
• キョクハイチ アンテイ ハンケイ カイゼン モンダイ ノ イチ カイホウ

抄録

This paper presents a robust controller design method for linear time-invariant SISO systems based on an optimization approach. The task is to enlarge real stability radius to counter plant parameter perturbations by using extra degree of freedom of the controller parameters in the pole placement scheme. The formula for the real stability radius is known as an infimum of a certain function and that makes its gradients discontinuous. It is shown that by some manipulations, the considered problem can be converted to a nonlinear optimization problem, to which a gradient-based optimization method becomes applicable. The case of complex stability radius is also considered, which is less sharp as a robust stability index than the real counterpart, but has a much simpler form. Numerical examples for both cases are presented to show that they actually work, and some comparisons are discussed, leading to a suggestion on the effective uses of these two stability radius computation methods.

収録刊行物

• システム制御情報学会論文誌

  システム制御情報学会論文誌 21 (5), 151-158, 2008

  一般社団法人 システム制御情報学会

キーワード

• stability radius
• pole placement
• linear SISO system
• robust stability
• controller design

詳細情報

• CRID: 1390282680142750720
• NII論文ID: 10021018537
• NII書誌ID: AN1013280X
• DOI: 10.5687/iscie.21.151
• ISSN: 2185811X
• ISSN: 13425668
• NDL書誌ID: 9495623
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9495623
• 本文言語コード: ja
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可