• 作者： Liou, Ching-Tien; Hsiue, Tzu-Hu
• 中文摘要： 本文研究對於圓柱體、圓椎體和半球體形狀的非線性液位控制系統均能被轉換至線性系統,其所尋找到的轉換函數並非唯一性,且非線性輸出信號隨著所選擇的不同轉換函數而有所變化。本文提出如何去尋找一適當轉換函數,首先定義一個可積分、可反轉換和有效性的適當轉換函數,然後定義一靈敏度函數以尋找適當的轉換函數,最後由引進的.lambda.(x)變數的自由度,獲得兩類的適當轉換函數。由模擬的結果驗證選擇適當的轉換函數可以得到較佳的非線性系統輸出響應。
• 英文摘要： The designs of the level control in process flow systems with the types of cylindrical, conical and hemispherical configurations are studied. All of the systems are non-linear and can be transformed to the linear systems. However, we find that the transformation is not unique and that the non-linear output signal is also different depending on the choice of the transformation function. How to find a suitable transformation function is now investigated. First, we define the suitable transformation function be integratable, invertible and effective. Then, define a sensitivity function for finding an appropriate form. Finally, by introducing a variable .lambda.(x) to the transformation function, one degree of freedom is obtained and two classes of suitable forms for transformation function are recommended. The simulation results demonstrate that the same non-linear output responses with a better performance can be obtained by the suitable choice of the transformation function.
• 中文關鍵字： 非線性控制系統; 轉換函數; 自由度; 靈敏度
• 英文關鍵字： Nonlinear Control System; Transformation Function; Degree Of Freedom; Sensitivity