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研究生: 饒胤琛
JAO, YIN-CHEN
論文名稱: 可程式化阻力之雙臂對稱訓練平台設計
Design of a Dual-Arm Symmetric Training Platform and Programmable Resistance
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: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 129
中文關鍵詞: 可程式化阻力阻抗控制雙向控制彈性阻力模式人機互動系統雙臂訓練
外文關鍵詞: bilateral control, impedance control, digital training platform, smart fitness, programmable resistance
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  • 近年來,智慧健身與數位阻力訓練平台快速發展,使健身器材由傳統被動式機構轉向具備可程式化阻力與即時控制之系統。然而,多數平台仍以單端輸出為主,缺乏雙端同步控制設計。因此,本研究建立一套可程式化阻力之雙臂對稱訓練平台,並以彈性阻力模式為主要研究對象。
    本研究建立雙端水平拉訓練平台之數學模型,並化簡為等效轉動慣量與阻尼模型。在單端模式下,透過阻抗控制實現彈性阻力,使阻力隨位移增加,並建立電子剛性參數 K_{K} 與訓練剛度之關係。實驗結果顯示,力-位置關係近似線性,且實測剛度與理論誤差約為6%以內。
    在雙端控制方面,本研究提出 bilateral impedance control(BIC)架構,結合 PD 耦合控制與單端阻抗控制,使系統可透過 K_{p}、K_{d} 與 K_{K} 分別調整同步性、平順性與訓練阻抗。模擬結果顯示,各參數皆能有效影響系統行為。
    本研究成功建立雙臂對稱訓練平台,並驗證其彈性阻力與雙端同步控制之可行性,可作為未來智慧健身與數位阻力系統之設計基礎。

    This paper presents a motor-driven digital training platform integrating bilateral control and impedance control. The proposed bilateral control scheme ensures that the positions of the user’s both hands remain synchronized throughout the training process, thereby enhancing coordinated bilateral motion and potentially reducing improper movement patterns. By incorporating impedance control, the motor-driven digital training platform eliminates the need for traditional flywheel mechanisms and enables programmable resistance, allowing multifunctional operation within a single device. In addition, the proposed digital training platform offers both bilateral and unilateral modes, providing flexibility for two-handed coordinated training as well as single-handed exercises. Simulation results demonstrate that the proposed digital training platform enables adjustable bilateral coordination and flexible resistance shaping for smart training applications.

    摘要 1 ABSTRACT 3 誌謝 16 目錄 17 表目錄 21 圖目錄 23 第一章 緒論 27 1.1. 研究背景 27 1.2. 研究動機 28 1.3. 文獻回顧 32 1.3.1. 雙端對稱訓練 32 1.3.2. 阻抗控制 34 1.3.3. 雙向控制 36 1.3.4. 同步量化指標 39 1.4. 研究目的 42 1.5. 本文架構 44 第二章 系統建模 45 2.1. 阻力傳動機構設計 45 2.1.1. 傳統低位訓練機之機構設計 45 2.1.2. 雙端獨立水平拉訓練平台之設計 48 2.2. 阻力傳動機構建模 50 2.2.1. 正齒輪系動態模型 51 2.2.2. 行星式減速機與馬達耦合模型 52 2.2.3. 捲線筒與行星式減速機耦合模型 54 2.2.4. 完整阻力傳動系統模型 55 2.2.5. 阻力傳動系統模型化簡 56 2.3. 系統 two-port 架構 62 第三章 單端彈性阻力模式 65 3.1. 機械交互模型 65 3.2. 設計目的 67 3.3. 系統架構 68 3.4. 設計方法 69 3.5. 模擬驗證 71 3.5.1. 模擬情境設定 71 3.5.2. 模擬結果與分析 72 第四章 雙端對稱彈性阻力模式 74 4.1. 原雙向控制架構整合阻抗控制之限制分析 74 4.1.1. 系統架構 75 4.1.2. 轉移函數分析 76 4.1.3. 模擬驗證分析 77 4.2. 雙向控制架構改良 79 4.2.1. PD-based 雙向控制整合阻抗控制架構 80 4.2.2. PD controller D term 實現方式重構 81 4.2.3. Bilateral Impedance Control 轉移函數分析 84 4.3. BIC 架構之 Simulink 模擬驗證 86 4.3.1. 不同耦合剛性 (Kp) 對雙端位置同動之影響 86 4.3.2. 不同耦合阻尼 (Kd) 對同步過程品質之影響 94 4.3.3. 不同單端電子剛性 (KK) 對訓練阻抗之影響 99 第五章 實驗結果與分析 102 5.1. 實驗平台架構 102 5.1.1. 伺服阻力驅動模組 103 5.1.2. 即時控制與訊號介面模組 104 5.2. 單端彈性阻力模式實驗 107 5.2.1. 實驗方法與架構 107 5.2.2. 時間響應結果 109 5.2.3. 扭矩-位置響應結果 111 5.2.4. 彈性離心增強重力模式實現 113 5.3. 雙端對稱彈性阻力模式實驗 114 5.3.1. 實驗一:不同耦合剛度 Kp 對雙端同動強度之影響 115 5.3.2. 實驗二:固定Kp下不同KK對訓練剛度之影響 117 第六章 結論與未來建議 121 6.1. 結論 121 6.2. 未來建議 122 參考文獻 124

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