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題 名 | Balanced Realization for Stable Nonlinear Input-Affine Systems=穩定非線性輸入仿射系統之平衡化實現 |
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作 者 | 黃皇男; 葉芳栢; | 書刊名 | 東海科學 |
卷 期 | 1 1999.07[民88.07] |
頁 次 | 頁19-48 |
分類號 | 319.711 |
關鍵詞 | Hankel範數; 非線性系統; 對局理論; 參數最佳化; 平衡化處理; Hankel norm; Nonlinear system; Game theory; Parameter optimization; Balancing; |
語 文 | 英文(English) |
中文摘要 | 本文主要探討穩定非線性非時變輸入仿射系統之平衡化處理。吾入首先利用對局理論以及參數最佳化技巧計算此類系統之Hankel範數,並基於Langrange乘數之連續性建構其計算方法,以取代求解一組偏微分方程之作法。最後,吾人推導此系統之平衡化實現之演算法則步驟。文中舉例說明Hankel範數之計算過程及平衡化之作法。 |
英文摘要 | In this paper, we are concerned with the balancing for stable nonlinear time invariant input-affine system. Firstly, the system’s Hankel norm is computed via game theorectical approach incorporating with the parameter optimization technique. This computation algorithm is derived based on the continuity of the costate vector at present time, which leads to a benefit to avoid solving the controllability and observability functions through a set of partial differential equations. Afterward, the balanced realization is conducted. Certain numerical examples are used to demonstrate the computational technique for Hankel norm and balanced realization. |
本系統中英文摘要資訊取自各篇刊載內容。