• 作者： Cheng, Shih-Lian; Hwang, Chyi
• 中文摘要： 對於區間系統PID控制器之設計, 本論文利用基因演算法(GAs)來求得最佳之PID控制器參數, 不僅能使系統在所有區間內穩定的操作, 而且能將系統控制之最差狀況降到最低。因此, 這是一個最大值之最小化(Min-max)的問題。設計時, 使用兩層基因演算法: 內層基因演算法是在一組固定PID控制器參數的情況下, 求出系統在所有區間內最大的ISE; 外層基因演算法是用來搜尋最佳之PID控制器參數, 使其最大的ISE值降到最低。由本論文所作兩個範例中, 可知基因演算法最佳值之搜尋效能很好。
• 英文摘要： An interval plant family is described by a rational transfer function with its coefficients taking values independently from their respective intervals. This paper presents the use of genetic algorithms (GAs) to design the optimal PID controller that not only stabilizes simultaneously all members of the interval plant family but also minimizes the integral of squared error (ISE) of the worst-case plant. The controller design problem is essentially a min-max optimization problem and the design procedure involves two loops of GA searches. The inner-loop GA searches for, under a fixed set of controller parameters, the plant's coefficients such that the corresponding feedback control system has maximum ISE value, while the outer-loop GA searches for the controller parameters such that the worst-case ISE of the plant is minimized. Two design examples are provided to illustrate the usefulness of GAs in obtaining optimal controllers for interval plant families.
• 中文關鍵字： 比例積分微分控制器; 線性系統; 區間系統; 最適化; 基因演算法; 穩定性分析
• 英文關鍵字： Pid Controller; Linear System; Interval Plant; Optimization; Genetic Algorithm; Stability Analysis