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題名 | H垒-norm Performance Robustness Analysis of a Linear Parametric Uncertain System=線性參數不確定系統的H垒功能強健性分析 |
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作者 | 溫成; 馮蟻剛; | 書刊名 | 中國工程學刊 |
卷期 | 21:2 1998.03[民87.03] |
頁次 | 頁203-209 |
分類號 | 448.942 |
關鍵詞 | 線性不確定系統; H垒範數; 功能強健性分析; H垒norm; Linear uncertain system; Performance robustness analysis; |
語文 | 英文(English) |
中文摘要 | 本文探討線性參數不確定系統的H∞範數功能強健性分析問題。所討論的受控系統 狀態空間模式,無論輸出矩陣、系統矩陣與輸入矩陣,均含有未知範圍的線性不確定參數擾 動,在輸出回授的控制架構下,閉迴路系統矩陣將含有複雜的非線性耦合項。藉由矩陣非奇 異強健性分析方法與一些關於H∞值的代數理論條件推導,可利用某些組合矩陣的結構化奇 異值計算擾動參動的允許變動範圍,以保證閉迴路不確定系統的H∞範數功能指數保持低於 一個規定值。 |
英文摘要 | This paper considers the performance robustness analysis problem of uncertain linear systems with output feedback. When there are uncertain parameters in all martices of the state-space model of the controlled system, a bound on these parameters is found such that the H∞ norm performance index of the closed-loop system is kept below a presepecified value. The proposed analysis method is based on the matrix nonsingularity robustness analysis approach and several algebraic conditions about the H∞ norm. It is shown that the bound can be computed from structured singular values of certain composite matrices. An example is provided to illustrate the results. |
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