粒子群演算法的改良與應用

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姓名

邱鴻志(Hung-Chih Chiu) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

粒子群演算法的改良與應用
(Improvements and Applications of Particle Swarm Optimization)

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摘要(中)

本論文之目的係為增加群體內粒子的搜尋能力和效率，而藉由模糊理論的觀念來調適粒子群演算法的加速度參數，這種策略主要是希望粒子群能持續的拓展搜尋範圍和找尋新的最佳解。本論文有兩種優點可以描述，一種就是可以和其它不同型式粒子群演算法的加速度參數做結合增加他們的搜尋性能，另一種就是經由模糊理論訂出三條模糊規則做加速度參數調整，達到全域搜尋能力。另外為了分析演算法於不同領域和適用性問題，透過16種標準函數的測試與5種不同的粒子群算法做比較。最後，經由模擬的結果顯示，本方法的確可以有效地改善原始PSO的性能，並且對於大多數的標準測試函數而言，均有優越的表現。

摘要(英)

In this thesis, in order to enhance each variable particle’s searching ability and efficiency, a fuzzy logic control is implemented to adapt the acceleration parameters of particle swarm optimization algorithm (PSO). The important condition of fully utilizing the particle swarm optimization algorithm is to keep advance between extensive searching and exploring global optimal. This method has two advantages. One is that it is flexible to integrate with other PSO techniques to enhance the searching performance further. The other is that it is only used three simple fuzzy inference rules to adaptively adjust the acceleration parameters of the standard PSO and results in certain improved searching ability and efficiency. In addition, the simulation is tested by using 16 benchmark functions. The results show that our proposed methods can efficiently improve the performance of original PSO and outperform the five compared PSO algorithms for most of benchmark functions.

關鍵字(中)

★ 粒子群演算法
★ 模糊理論

關鍵字(英)

★ Particle Swarm Optimization
★ Fuzzy

論文目次

Chapter1 Introduction.....................................1
1.1 Research Motivations and Background...................1
1.2 Literature Reviews....................................3
1.3 Organization..........................................4
Chapter2 Introduction to Computational Intelligence.......6
2.1 Introduction..........................................6
2.2 Fuzzy System..........................................8
2.2.1 Basic definition....................................8
2.2.2 Species of membership function......................9
2.3 Swarm Intelligence...................................11
2.4 Artificial Neural Networks...........................13
2.5 Evolutionary Computing...............................13
Chapter3 Adaptive Fuzzy Particle Swarm Optimizatio Algorithm................................................15
3.1 The standard PSO algorithm...........................15
3.2 Adaptive Fuzzy optimization strategy of PSO........19
3.2.1 Adaptive Fuzzy scheme..............................19
3.2.2 Procedure of the adaptive Fuzzy PSO Algorithm......21
3.3 Membership Function..................................25
3.3.1 Triangular and Trapezoidal membership function.....25
3.3.2 Experiments........................................29
Chapter4 Adaptive Fuzzy Particle Swarm Optimization with Quadratic Crossover Operator.............................33
4.1 AFPSO with quadratic crossover operator..............33
4.2 Experiments..........................................35
4.2.1 Experimental Settings..............................35
4.2.2 Results for the 10-Dimension minimization problems.40
4.2.3 Results for the 30-Dimension minimization problems.46
Chapter5 Particle Swarm Optimization for Stabilization of a Singular Linear Time-Varying System....................53
5.1 Introduction.........................................53
5.2 Particle Swarm Optimization with a constriction factor...................................................54
5.3 Preliminaries for a singular linear time-varying system...................................................54
5.4 Stabilization problem transformed from time-varying to time-invariant...........................................56
5.5 Experiments..........................................60
5.5.1 Experimental Settings..............................60
5.5.2 Experimental Results...............................61
5.5.3 Analysis of Adaptive Fuzzy Experimental Results....64
Chapter6 Conclusions and Feature Work....................66
6.1 Conclusions..........................................66
6.2 Feature Work.........................................67
Appendix.................................................68
A. Wilcoxon matched paired signed rank test..............68
References...............................................72
Publication List.........................................78

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指導教授

莊堯棠(Yau-tarng Juang)

審核日期

2010-6-24

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