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研究生: 蔡博丞
Tsai, Bo-Cheng
論文名稱: 基於雙端網路架構之馬達強健觀測器設計工具包開發
Development of Motor Robust Observer Design Toolkit Based on Two-Port framework
指導教授: 蔡明祺
Tsai, Mi-Ching
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2024
畢業學年度: 112
語文別: 中文
論文頁數: 107
中文關鍵詞: H2最佳化控制H∞強健控制觀測器雙端網路
外文關鍵詞: optimal control, H2 control, robust control, H∞ control, observer design, Chain-Scattering Description (CSD), two-port framework
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  • 本研究針對日益廣泛應用的馬達控制領域,開發了一種基於雙端網路架構的強健控制馬達觀測器設計工具包,以提供使用者一套簡便的觀測器設計方法。首先,本研究基於成熟的鏈散射式描述法求解H∞/H2問題,並提出了利用轉移函數層級來理解閉迴路轉移函數特性的證明。在此基礎上,針對通用型問題、輸出注入問題和輸出估測問題進行了詳細分析,並為每一類型問題提供了符合各架構的馬達觀測器設計案例。最終,將解題所需工具與設計案例整合為設計工具包,並提供了友好的使用者介面。此外,結合雙端網路架構的模擬功能,使得使用者能夠通過此工具包輕鬆進行馬達觀測器的實務設計與模擬。本研究所開發的工具包為馬達觀測器的設計提供了一種高效且直觀的解決方案。

    This study focuses on the development of a motor robust observer design toolkit based on the two-port framework, aiming to provide users with a simplified method for designing observers in the increasingly prevalent field of motor control. Initially, the study employs a well-established chain-scattering description approach to solve the H∞/H2 problems and introduces a proof for understanding closed-loop transfer function characteristics in the transfer function level. Based on these characteristics, detailed analyses are conducted for general problems, output injection problems, and output estimation problems, with corresponding motor observer design cases provided for each type. Ultimately, the necessary tools and design cases are integrated into a design toolkit, accompanied by a user-friendly interface. Furthermore, the toolkit incorporates simulation capabilities based on the two-port framework, enabling users to easily conduct practical design and simulation of motor observers. This study's toolkit offers an efficient and intuitive solution for the design of motor observers.

    摘要 I SUMMARY II 誌謝 XIX 目錄 XX 圖目錄 XXIII 表目錄 XXV 符號表 XXVI 第一章 緒論 1 1.1 研究動機 1 1.2 文獻回顧 3 1.3 研究目的 5 1.4 本文架構 6 第二章 H2/H∞控制與特性 7 2.1 H2最佳化控制 7 2.1.1 H2最佳化控制通用型 10 2.1.2 H2最佳化控制輸出估測型 12 2.1.3 H2最佳化控制輸出注入型 16 2.2 H∞次佳化控制 19 2.2.1 H∞次佳化控制通用型 20 2.2.2 H∞次佳化控制輸出估測型 21 2.2.3 H∞次佳化控制輸出注入型 26 2.3 H2/H∞控制閉迴路特性 28 2.3.1 H2控制閉迴路特性 28 2.3.2 H∞控制閉迴路特性 30 第三章 H2/H∞控制閉迴路特性推導 32 3.1 H2閉迴路特性推導 32 3.1.1 H2控制通用型問題閉迴路推導 32 3.1.2 H2控制輸出估測型閉迴路特性推導-轉移函數層級 34 3.1.3 H2控制輸出估測型閉迴路特性推導-狀態空間層級 36 3.2 H∞控制閉迴路特性推導 37 3.2.1 H∞控制通用型閉迴路特性推導 37 3.2.2 H∞控制輸出估測型閉迴路特性推導-轉移函數層級 41 3.2.3 H∞控制輸出估測型閉迴路特性推導-狀態空間層級 42 第四章 H2/H∞觀測器設計案例 47 4.1 PI型觀測器 47 4.1.1 H2輸出注入型 49 4.1.2 H∞輸出注入型 51 4.2 類PID型狀態觀測器 52 4.2.1 H2輸出估測型 54 4.2.2 H∞輸出估測型 56 第五章 解題工具箱與觀測器設計工具箱 59 5.1 雙端網路架構 59 5.2 強健解題工具箱 61 5.2.1 使用環境 61 5.2.2 解題工具箱功能介紹 62 5.3 觀測器設計工具包 69 第六章 結論與未來建議 75 6.1 結論 75 6.2 未來建議 76 參考文獻 78

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