基因演算法应用于模式最佳近似之研究 - 国立高雄应用科技大学化学 .docVIP

[ 摘要 ] 本論文應用具改良精英政策之基因演算法於線性系統之最佳化近似。此最佳化近似模式以含有時間延遲之有理轉移函數描述，並藉由最小化頻率響應L2標準誤差準則來搜尋最佳化近似模式的參數。以頻率響應做為誤差準則之優點是此方法可有效的應用於不穩定或非最小相位之線性系統。結果顯示，相較於傳統的基因演算法與微分進化演算法，本論文獲得的最佳近似模式有較好的適應函數值。 [ 英文摘要 ] In this thesis, the problem of optimally approximating linear systems is solved by a Genetic Algorithm with modified elitism. The optimal approximate rational model with a time delay for a system described by its rational transfer function is sought such that a frequency-domain L2-error criterion is minimized. The chosen frequency-domain error criterion makes the proposed approach quite efficacious for optimally approximating unstable and/or nonminimum-phase linear systems. The numerical results show that the optimal approximant obtained by the proposed approach has a better fitness than that obtained by the differential evolution algorithm or traditional genetic algorithm. [ 論文目次 ] 中文摘要 ?????????????????????????????????????????????????????????? Ⅰ英文摘要 ???????????????????????????????????????????????????????????Ⅱ致謝 ???????????????????????????????????????????????????????????Ⅲ目錄 ???????????????????????????????????????????????????????????Ⅳ表目錄 ???????????????????????????????????????????????????????????Ⅵ圖目錄 ??????????????????????????????????????????????????????????Ⅷ 第一章 緒論?????????????????????????????????????????????????????????11.1 前言??????????????????????????????????????????????????????????11.2 文獻回顧??????????????????????????????????????????????????????31.3 研究動機與目的?????????????????????????????????????????????????71.4 論文組織??????????????????????????????????????????????????????8第二章 基因演算法????????????????????????????????????????????????????102.1 簡介????????????????????????????????????????????????????102.2 基因演算法之名詞定義??????????????????????????????????????132.3 基因演算法之架構?????????????????????????????????????????142.4 各演化機制說明???????????????????????????????????????????172.4.1 編碼與解碼?????????????????????????????????????????172.4.2 適應值????????????????????????????????????