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題名 | 以信息傳遞法則處理信號流程圖的增益=Using a Message Passing Protocol to Solve the Gain of a Signal Flow Graph |
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作者 | 廖炳松; | 書刊名 | 技術學刊 |
卷期 | 13:2 1998.06[民87.06] |
頁次 | 頁315-325 |
分類號 | 448.6 |
關鍵詞 | 信息傳遞法則; 信號流程圖; Mason增益公式; Message passing protocol; Signal flow graph; Mason gain formula; |
語文 | 中文(Chinese) |
中文摘要 | 信號流程固不僅以固形來描述整個控制系統內部的組成結構,也可以根據Mason 所提出法則以圖解方法求得控制系統輸出 - 輸入間的增益。由於目前各種 CAD 軟體在求得 Mason 增益解 (closed for msolution) 的步驟上尚且需要設計者依信號流程圖的組成結構 撰寫相關化簡命令。 為了克服這項缺點,本文根據 Mason 增益公式的求解過程,設計了信 息傳遞法則,可自動地在有限行程內尋找出信號流程圖的全部順向路徑和迴路路徑,而這些 路徑再經過後處理程序的處理即可求得 Mason 增益的全部順向路徑增益和迴路增益。 由於 信息傳遞法則和後處理程序很規則地計算 Mason 增益公式的各項成分, 所以本文所提演算 法可以系統化地求解 Mason 增益的解,免除設計者撰寫程式之需。 |
英文摘要 | A signal flow graph can not only completely describe the internal counterparts of a control system, but also graphically solve the gain of a linear system through Mason rules. Although the state-of-the-art CAD software packages can obtain the closed form solution of the Mason gain, the designer needs to program the reduced code for it. To overcome such a drawback, this study proposes a message passing protocol and a post-processing procedureto obtain the Mason gain. The former can search for all forward paths andloops of a signal flow graph within finite hops, and the latter can calculate thegains of forward paths and loops. The individual term of the Mason gain isdetermined regularly by the message passing protocol and the post-processing procedure. Thus, the proposed algorithm should systematically solve the closed form solution of the Mason gain of a linear system to relieve a designer from coding. |
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