Eigenvector Assignability and Responses of the Closed Loop Systems

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  • 固有ベクトル設定可能性と閉ループシステムの応答
  • コユウ ベクトル セッテイ カノウセイ ト ヘイ ループ システム ノ オウト

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An eigenvector assignability of the closed loop matrix A-BF is considered. The main results are the following.<br>(1) A new concept“Eigenvector Assignability” is proposed. And a necessary and sufficient condition on the eigenvector assignability is derived.<br>(2) An explicit form of F, which assigns specified poles and specified eigenvectors, is obtained.<br>As an application, the overshooting phenomenon of linear regulators and linear observer is investigated. And an optimal eigenvector, in the sense that all the outputs have no large overshoot when the poles are assigned far from the imaginary axis, is derived.

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