應用權重調諧之模糊PID控制器

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姓名

趙建雄(Chien-Shiung Chao) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

應用權重調諧之模糊PID控制器
(Weighted Fuzzy-PID Controllers)

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摘要(中)

本論文主要是結合模糊理論、基因演算法及PID控制之觀念與優點有效率地設計出好的控制系統，研究如何應用基因演算法來設計一個具有權重調諧的模糊PID控制器。
首先我們提出一個Weighted Function，根據系統誤差來做權重的調整，再輸入到模糊控制器中產生一個輸出，最後經由PID控制器來控制受控體，其作用主要是加快系統的響應時間。整個控制器能在受控系統的參數與特性所知有限下做穩定的控制，同時有效地改善上升時間及安定時間，更降低了最大超越量，使控制效能達到預期。最後列舉一些例子經由電腦模擬的結果與數據證明，在性能上已經可以達到滿意的控制結果，顯現出我們所提出之方法的優點。
上述的控制器是利用基因演算法來自動搜尋所需的參數，並依性能指數的高低來調整控制器的參數。這個演算法在實驗中展現其優點：(1)有系統的搜尋最佳解。(2)與傳統嘗試錯誤法比較起來，這個方法可以節省大量的時間跟精力。(3)這個方法不需要額外的有關受控系統的專業知識及經驗。(4)系統的性能規格可以經由設計適當的適合函數（Fitness Function）而得。

摘要(英)

This thesis investigates the technique of the weighted fuzzy-PID controllers by means of genetic algorithms.
First, we propose a weighted function to tune the weights of the system error into the fuzzy controller. Then, output of the fuzzy controller is transmitted into a PID controller to control plant. The controllers can stabilize a process with a minimal amount of prior knowledge and improve rise time, settling time and overshoot effectively. Some illustrative examples demonstrate that satisfactory performance is achieved.
By means of genetic algorithms, the parameters of the aforementioned controllers are determined to have a better performance. These experiment results show technique’s power and its advantages: (1) Systematic search. (2) This technique can save much more time and effort than that of conventional trial-and-error design method. (3) This technique does not need extra professional knowledge or mathematical analysis about system dynamics. (4) The performance specifications can be achieved by means of designing a proper fitness function.

關鍵字(中)

★ 權重
★ 模糊PID控制器
★ 基因演算法

關鍵字(英)

★ weighted
★ fuzzy-PID controllers
★ genetic algorithms

論文目次

Abstract--------------------------------------------------------------------------Ⅰ
Content---------------------------------------------------------------------------Ⅱ
List of Figures-------------------------------------------------------------------Ⅳ
List of Tables--------------------------------------------------------------------Ⅶ
Chapter 1 Introduction---------------------------------------------------------1
1.1 Research Motivations and Goal---------------------------------------1
1.2 Papers Review----------------------------------------------------------3
1.3 Thesis Overview--------------------------------------------------------4
Chapter 2 The Ziegler-Nichols PID Controller----------------------------5
2.1 Introduction------------------------------------------------------------------5
2.2 Ziegler-Nichols Rules for Tuning PID Controller----------------------6
2.2.1 Example----------------------------------------------------------------8
2.3 Simulation Result----------------------------------------------------------10
Chapter 3 Genetic Algorithms-----------------------------------------------12
3.1 Introduction----------------------------------------------------------------12
3.2 The Basic Construction of a GA-------------------------------------13
3.3 Elite Method---------------------------------------------------------------15
3.4 Reinforced Search Method---------------------------------------------16
Chapter 4 Weighted Fuzzy-PID Controllers------------------------------18
4.1 Introduction----------------------------------------------------------------19
4.2 Fuzzy-PID Controllers-----------------------------------------------23
4.2.1 Simulation Result----------------------------------------------------26
4.3 Weighted Fuzzy-PID Controllers----------------------------------------31
4.4 Simulation Results--------------------------------------------------------33
4.4.1 Simulation for G1(s)-------------------------------------------------34
4.4.2 Simulation for G2(s)-------------------------------------------------41
4.4.3 Simulation for G3(s)-------------------------------------------------44
4.4.4 Simulation for G4(s)-------------------------------------------------47
4.4.5 Simulation for G5(s)-------------------------------------------------49
4.5 Discussion------------------------------------------------------------------52
Chapter 5 Conclusions and Suggestions-----------------------------------53
5.1 Conclusions----------------------------------------------------------------53
5.2 Suggestions-----------------------------------------------------------54
References------------------------------------------------------------------------55

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指導教授

莊堯棠(Yau-Tarng Juang)

審核日期

2004-6-13

推文