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頁籤選單縮合
題 名 | A New Approach on the Balanced Realization of Linear Time-Invariant Systems=線性非時變系統之平衡化處理演算法 |
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作 者 | 黃皇男; 葉芳栢; | 書刊名 | 東海科學 |
卷 期 | 2 2000.07[民89.07] |
頁 次 | 頁83-95 |
分類號 | 319.711 |
關鍵詞 | Hankel範數; 線性非時變系統; 對局理論; 參數最佳化; 平衡化處理; Hankel norm; Parameter optimization; Variational approach; Balancing; LTI system; |
語 文 | 英文(English) |
中文摘要 | 有提出以對局理論與參數最佳化技巧以實現線性系統之平衡化處理。首先,吾人推導Hankel範之計算。因為平衡實現的標向量係平行Hankel奇異向量,如此一來吾人定義了平衡對映,並據以推導出新的平衡化處理演算法,以簡化以往須牨對可控制矩陣或可觀測矩陣進行Cholesky分解之作法。文中並舉例說明此演算法之計算過程。 |
英文摘要 | This paper deals with the balanced realization of linear time invariant systems using an one parameter optimization technique through a variational approach. The Hankel norm is established first. As balanced coordinate vectors are parallel to Hankel singular vectors, a new algorithm for balanced realization by a newly defined balanced map is obtained without performing the Cholesky factorization to the controllability or observability gramians. A simple example is presented for illustrative purposes. |
本系統中英文摘要資訊取自各篇刊載內容。