制御系の切換時における外乱応答の評価手法に関する検討:線形作用素表現に基づく<i>L</i><sub>2</sub>ゲイン解析

Translated title of the contribution: A Study to Assess the Disturbance Response of Control Systems across Switching:<i>L</i><sub>2</sub> Gain Analysis based on Linear Operator Representations

蛯原 義雄, 萩原 朋道

Research output: Contribution to journalArticle

Abstract

In recent studies, Asai proposed a strategy to analyze disturbance response of control systems across switching. It was shown that the performance deterioration caused by the disturbance can be assessed quantitatively by a sort of <i>L</i><sub>2</sub> gain of the control system, which can be regarded as a generalization of the well-studied Hankel norm of linear time-invariant systems. In addition, explicit formulas to compute the <i>L</i><sub>2</sub> gain have also been derived. The derivation explored there is, however, rather involved and does not conform to the elegant results already known in the analysis of Hankel operators. Motivated by these facts, in the present note, we give a concise proof for the results by Asai based on linear operator representations. It turns out that the results can readily be obtained by describing a procedure to compute the norm of the associated compact linear operator.
Translated title of the contributionA Study to Assess the Disturbance Response of Control Systems across Switching:<i>L</i><sub>2</sub> Gain Analysis based on Linear Operator Representations
Original languageUndefined/Unknown
Pages (from-to)937-938
Number of pages2
Journal計測自動制御学会論文集
Volume41
Issue number11
DOIs
Publication statusPublished - 2005

Fingerprint Dive into the research topics of 'A Study to Assess the Disturbance Response of Control Systems across Switching:<i>L</i><sub>2</sub> Gain Analysis based on Linear Operator Representations'. Together they form a unique fingerprint.

Cite this