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研究生: 呂偉誠
Wei-Cheng Lu
論文名稱: 模糊細菌演化系統與伺服馬達控制之應用
Fuzzy Bacterial Foraging System and its Applications in Control of Servo Motors
指導教授: 呂藝光
Leu, Yih-Guang
學位類別: 碩士
Master
系所名稱: 電機工程學系
Department of Electrical Engineering
論文出版年: 2010
畢業學年度: 99
語文別: 中文
論文頁數: 100
中文關鍵詞: 細菌演算法模糊系統倒階控制直流伺服馬達
英文關鍵詞: Bacterial Foraging Algorithm, fuzzy system, backstepping control, DC servo motor
論文種類: 學術論文
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  • 本文提出一改良式細菌演算法,利用改良式細菌演算法調整模糊系統的設計參數並應用於模糊控制系統。由於傳統細菌演算法具複雜操作導致時間複雜度較高,因此改良傳統細菌演算法藉由減低時間複雜度以增加其運算效能,其中改良包括群體反應修正;修正群體相對位置至最佳菌源位置、細菌游動能力調整;細菌游動長度彈性化、細菌同心圓移動模式;幫助細菌跳脫區域最佳解並提升搜尋效能、細菌定位;最佳個體細菌位置保留與菌種調整率;最佳細菌源演化,在此五方面改良傳統細菌規則並估計成本函數調整模糊系統參數達到快速收斂效果。為了即時控制接著設計倒階控制搭配所提之改良式細菌模糊系統,藉由李亞普諾夫函數分析系統穩定性,其中以改良式細菌演算法的成本函數作為閉迴路系統之評估穩定性機制。改良式細菌模糊演化系統包括模糊理論與改良式細菌演算法之結合,故增加控制的穩定及減少演算法運算時間成本,以達到在更好控制效能下並兼具更低的時間複雜度順利實現於實際應用上,最後即時與非即時模擬實驗與實際實驗結果皆展現良好追蹤成效與演算法效能。

    This thesis proposes a modified bacterial foraging algorithm to adjust the design of fuzzy systems. Since traditional bacterial foraging algorithms require complicated operations and extremely time-consuming, the modified bacterial foraging algorithm utilize some simplified procedures to reduce the computation time and increase the operation efficiency. The simplified procedures include five parts that include: 1) modified Swarm Behavior, 2) electrification bacterium hover ability, 3) modified bacterium location, 4) adjustment of bacteria source, and 5) the best bacterium source evolution mechanism.
    The modified bacterial foraging algorithm is applied to update the parameters of fuzzy systems that approximate nonlinear functions, and to on-line tune the parameters of fuzzy controllers. The DC servo motor experiment and simulation results demonstrate the feasibility and applicability of the proposed methods.

    摘要 1 ABSTRACT ii 目  錄 iv 圖 目 錄 vii 表 目 錄 xi 第一章 緒 論 1 1.1 研究背景 1 1.2 研究動機與目的 3 1.3 內容大綱 4 第二章 傳統細菌演算法與模糊系統 5 2.1 細菌演算法理論背景與基礎 6 2.1.1 大腸埃希氏菌 6 2.1.2 細菌之活動 7 2.1.3 細菌之物理行為 7 2.1.4 細菌最佳化群體覓食 8 2.2 細菌演算法之行為分析 9 2.2.1 趨藥性 (Chemotaxis) 10 2.2.2 群聚效應 (Swarming) 11 2.2.3 繁殖 (Reproduction) 12 2.2.4 消除與分散 (Elimination, and Dispersal) 13 2.2.5 傳統細菌演算法 13 2.3 模糊系統 16 2.3.1 傳統模糊系統 16 第三章 改良式細菌演算法 17 3.1 細菌演算法之改良 17 3.1.1 群體反應修正 17 3.1.2 細菌游動能力 19 3.1.3 同心圓移動模式 (Concentric circles) 20 3.1.4 細菌定位模式 21 3.1.5 菌種調整率 22 3.2 改良式細菌演算法模糊系統 23 3.3 改良式細菌演算法之函數近似模擬 25 3.3.1範例一 函數近似器 25 3.3.2範例二 函數近似器 28 3.3.3範例三 函數近似器 32 第四章 改良式細菌模糊系統應用於非線性控制系統 37 4.1 問題描述 37 4.2 倒階控制器設計 38 4.3 細菌模糊系統倒階控制器設計 41 4.4 監督控制器設計 42 4.5 改良式細菌模糊Affine系統模擬範例 43 第五章 改良式細菌模糊系統於直流轉換器之實作應用 53 5.1 直流轉換器與硬體電路介紹[52,53,59] 53 5.1.1 降壓式直流電壓轉換器 54 5.1.2硬體電路介紹 58 5.1.3電路操作介紹 61 5.2 改良式細菌模糊系統應用實驗介紹 62 5.3 改良式細菌模糊系統應用實驗之倒階控制設計 65 5.3.1 直流電轉換器與馬達之數學動態系統 66 5.4 改良式細菌模糊倒階控制系統應用實驗 70 5.4.1 無負載實驗 70 5.4.2 馬達負載實驗 73 5.4.3 理想電壓變化實驗 75 5.4.4 輸入電壓變化實驗 78 5.4.5 馬達負載變化實驗 81 5.4.6 定電阻負載實驗 84 5.4.7 定電阻負載之參考電壓變化實驗 85 5.4.8 定電阻負載之輸入電壓變化實驗 87 5.5 實驗結論 88 第六章 研究結論與未來展望 90 6.1 研究結論 90 6.2 未來展望 91 參考文獻 92

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