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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bode's sensitivity integral ： ウィキペディア英語版 Bode's sensitivity integral Bode's sensitivity integral, discovered by Hendrik Wade Bode, is a formula that quantifies some of the limitations in feedback control of linear parameter invariant systems. Let ''L'' be the loop transfer function and ''S'' be the sensitivity function. Then the following holds: :$\backslash int\_0^\backslash infty\; \backslash ln\; |S(i\; \backslash omega)|\; d\; \backslash omega\; =\; \backslash int\_0^\backslash infty\; \backslash ln\; \backslash left|\; \backslash frac\; \backslash right|\; d\; \backslash omega\; =\; \backslash pi\; \backslash sum\; Re(p\_k)\; -\; \backslash frac\; \backslash lim\_\; s\; L(s)$ where $p\_k$ are the poles of ''L'' in the right half plane (unstable poles). If ''L'' has at least two more poles than zeros, and has no poles in the right half plane (is stable), the equation simplifies to: :$\backslash int\_0^\backslash infty\; \backslash ln\; |S(i\; \backslash omega)|\; d\; \backslash omega\; =\; 0$ This equality shows that if sensitivity to disturbance is suppressed at some frequency range, it is necessarily increased at some other range. This has been called the "waterbed effect."〔(Megretski: The Waterbed Effect. MIT OCW, 2004 )〕 ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bode's sensitivity integral」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.