頁籤選單縮合
題 名 | Generalized Orthogonal Polynomials and Its Engineering Applications=廣義正交多項式及其工程之應用 |
---|---|
作 者 | 王茂齡; 楊淑瑛; 張榮語; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷 期 | 18:6 1987.11[民76.11] |
頁 次 | 頁339-349 |
分類號 | 460.02 |
關鍵詞 | 工程; 廣義正交多項式; |
語 文 | 英文(English) |
中文摘要 | 本文乃首先以廣義正交多項式應用於解答變分問題,模式簡化及控制系統之設計,此廣義正交多項式可代表所有種類之正交多項式及非正交性之泰勒級數。本文之主要觀念在於對任一可積分之函數皆可以冪次級數展開表示之,相反地亦為一樣。在文中所導出之廣義正交多項式之積分運算矩陣很容易地用來計算展開係數,對於模式簡化及變分問題,使用廣義正交多項式之近似法之特徵在於方法乃統一,在文中同時應用模式簡化技巧尋求回饋控制系統之規格,其結果相當好,本文另一優點在於計算之策略簡易,而且計算結果還具相當高之準確性。 |
英文摘要 | A generalized orthogonal polynomial (GOP) which can represent all types of orthogonal polynomials and non-orthogonality Taylor series is first introduced to solve the variational problem and the problems of model reduction as well as the design of control systems. The key idea of the present method is that any integrable function can be expressed by a power series and vice versa. The derived integration operation matrix of the generalized orthogonal polynomial can be used to calculate the expansion coefficient easily. The significance of applying GOP to model reduction problems and variational problems is that the method is unified for all kinds of individual orthogonal polynomial approximation. Based on the model reduction techniques, the method of GOP is extended for the design of a feedback control system with satisfactory specification. The computation algorithm is simple, straightforward and the computational results are accurate for most individual orthogonal polynomial method. |
本系統中英文摘要資訊取自各篇刊載內容。