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題 名 | State-Space Characterization of All Solutions to a Positive Real Control Problem=正實控制問題所有狀態空間解 |
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作 者 | 容志輝; | 書刊名 | 中國工程學刊 |
卷 期 | 22:5 1999.09[民88.09] |
頁 次 | 頁653-659 |
分類號 | 448.942 |
關鍵詞 | 正實控制; Youla參數化; Kalman-Yacubovich-Popov引理; 狀態空間解; Positive real control; Youla parameterization; Kalman-Yacubovich-Popov lemma; State-space formula; |
語 文 | 英文(English) |
中文摘要 | 本文提出線性非時變系統正實控制問題所有狀態空間解之參數化。此參數化乃中 心控制器與一個 ESPR 穩定自由參數系統經由線性分式轉換聯結而成。文中僅用到一些簡單 的代數運算, 如變數變換,Kalman-Yacubovich-Popov 正實引理及 Youla 參數化,因此整 個證明十分簡潔。 |
英文摘要 | The purpose of this paper is to give a state-space characterization of all internally stabilizing finite-dimensional linear time-invariant output feedback controllers for a given finite-dimensional linear time-invariant plant which ensure that the resulting closed-loop transfer function is extended strictly positive real(ESPR). All such controllers are parameterized by a fixed linear fractional transformation with an ESPR, stable free parameter. The parameterized controllers have a state dimension not less than that of the open-loop plant. The development ment uses only elementarily algebraic ideas beginning with a change of variables, an extended version of Kalman-Yacubovich-Popov positive real lemma, and Youla parameterization, thus the proofs given are simple and clear. |
本系統中英文摘要資訊取自各篇刊載內容。