頁籤選單縮合
題 名 | Design of Optimal Fractional-Order PID Controllers=最適分數階次PID控制器之設計 |
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作 者 | 呂政芳; 蔡三元; 黃奇; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷 期 | 33:2 2002.03[民91.03] |
頁 次 | 頁193-202 |
分類號 | 460.021 |
關鍵詞 | 分數階次PID控制器; Fractional-order PID; Gain margin; Phase margin; Optimal controller tuning; |
語 文 | 英文(English) |
中文摘要 | 本文探討分數階次PID控制器之設計問題,其中,積分器和微分器為非整數階次。吾人將決定控制器的三個增益值與二個實數階次,以符合最小化的誤差平方積分(ISE性能參數,並且滿足所設定的增益邊限與相位邊限條件。此設計問題將表示成含條件式之參數最適化,而微分演化演算法將應用於搜尋全域之最適控制參數。由於分數階次系統問題尚缺乏時域之解析方法,本文將整合一種有效率的數值方罄用以計算ISE性能參數,同時完成頻率響應的穩定性測試。在設計範例中,吾人將對最適的分數階次與整數階次PID,各別用於整數和分數階次程序之情況作性能比較。 |
英文摘要 | In this paper we were concerned with the designed of a fractional-order PID controller which involves noninteger-order integrator and differentiator. The three controller gains and two real orders of the fractional-order PID controller are determined to minimize and integral square error (ISE) performance index while satisfying the specified gain and phase margins. We formulate the design problem as a constrained parametric optimization and apply a differential evolution algorithm to search globally the optimal controller parameters. Due to the problem lack of analytic time-domain analysis methods for fractional-order systems, an effective numerical method is utilized to compute the ISE performance index as well as to check the stability in the frequency domain. Design examples are given to compare the performance of the optimal fractional-order PID controller with the optimal integer-order PID controller in controlling integer-order as well as fractional-order processes. |
本系統中英文摘要資訊取自各篇刊載內容。