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題 名 | 補償式梯型數值積分法在類比控制系統離散化之應用=Application of Compensated Trapezoidal Numerical Integration Method on Digitizing Analogue Control Systems |
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作 者 | 柳復華; 壽鶴年; 林麗鳳; 霍立珍; 劉怡妠; | 書刊名 | 航空技術學院學報 |
卷 期 | 10:1 2011.08[民100.08] |
頁 次 | 頁79-85 |
分類號 | 448.942 |
關鍵詞 | 梯型積分; 雙線性轉換關係式; 取樣週期; Trapezoidal integration; Bilinear transformation; Sampling period; |
語 文 | 中文(Chinese) |
中文摘要 | 本論文提出了一個新的類比控制器轉換到其離散型式的方法,當對連續時間下的響應作梯型積分時,發現有一個額外的幾何面積誤差是須要被考慮的,故其轉換關係式也應作合理的補償修正。在所提方法之轉換關係式中有一可調的補償參數,其可根據控制器的模型和取樣週期的大小來調整。當一適當的補償參數值在轉換關係式中被選取去離散化一控制系統時將顯得更為有效。因為所提之方法是針對雙線性轉換法進行改良,所以藉由所提之方法所離散之系統將會有更好的性能表現。由實例模擬的結果將可得到驗證。 |
英文摘要 | This study presents a new discretization approach for converting an analogue controller into its corresponding counterpart for a discrete-time system. Based on the trapezoidal integration of the continuous-time response, an extra geometric area is considered, so that the discrete-time transformation is reasonably compensated. In the transformation of proposed method there is a flexible compensated parameter n which can be tuned in accordance with controller and sampling period. Thus a suitable n in our proposed transformation can be found to make effective compensation for a sampled-data system. Since our scheme is the improvement of bilinear transformation, the discrete system by the proposed transformation has better performance. This can be demonstrated from the simulation results. |
本系統中英文摘要資訊取自各篇刊載內容。