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姓名	吳睿軒(Ruei-Syuan Wu)  查詢紙本館藏	畢業系所	機械工程學系
論文名稱	基於快速狀態相關微分形式黎卡迪方程式導控策略對於機動目標的攔截於預先規畫之方向 (Fast Maneuvering-Target Interception at Pre-Specified Orientation Based on the State-Dependent Differential Riccati Equation Scheme)
相關論文	★ 使用快速狀態相關微分Riccati方程方案的衝擊角導引 ★ 永磁同步馬達的實時硬體控制平台，使用基於觀測器之SDRE控制策略 ★ 使用快速觀測器的SDRE控制方案應用在電動車的馬達驅動系統 ★ 財經系統與控制: 資本資產定價模型的明確最佳化 ★ 使用狀態相關Riccati方程式控制器設計實現雙輪機器人
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摘要(中)	本論文考慮了基於目標導程角資訊的三維導引法則和狀態相關微分型式Riccati方程(SDDRE)方案。論文以應用為導向，提出了顯著提高關鍵計算性能的理論，從而達成快速實現對敏捷機動目標的撞擊角約束攔截。更具體得說，關於使用SDDRE的兩個主要計算負擔，我們已經將數值適用性檢查的負擔替換為更簡單、等效和封閉形式的條件，這是複雜性分析和廣泛驗證下所得出的主要負擔。值得注意的是，所提出的分析不僅補充了文獻中早期關於適用性保證的發現。而且與經典方法相比，筆者所提出方案更提高了的計算效率，前者因其可行性和實作難度而引起關注和保留。另一方面，在經過詳盡的實驗之後，我們已經在很大程度上減輕了SDDRE的第二個主要負擔，其方法是選擇最有效、最新的Riccati方程求解器。
摘要(英)	This thesis considers the three-dimensional guidance law based on target lead angle information and the state-dependent differential Riccati equation (SDDRE) scheme. In an application-oriented manner, it presents theories to significantly improve the critical computational performance, and thus aims at a fast implementation for impact-angle-constrained interception of agile maneuvering targets. More specifically, regarding the two major computational burdens using SDDRE, we have replaced the burden in numerical applicability checking by a simple, equivalent, and closed-form condition for the entire state space, which is actually the dominant burden as supported by complexity analysis and extensive validations. Notably, the proposed analysis not only complements the early findings of applicability guarantee in literature, but also promotes the efficiency of the proposed philosophy as compared to the classic method, where the latter has caused concerns/reservations due to its feasibility and difficulty. On the other hand, we have largely mitigated the second major burden of SDDRE by – after exhaustive trials – selecting the most efficient Riccati-equation solver until the latest benchmarks.
關鍵字(中)	★ 狀態相關微分型式黎卡迪方程式 ★ 空間導程角導引 ★ 撞擊角限制 ★ 機動目標攔截 ★ 計算效率	關鍵字(英)	★ State-dependent differential Riccati equation (SDDRE) ★ spacial lead angle guidance ★ impact angle constraint ★ maneuvering-target interception ★ computational efficiency
論文目次	摘要 i Abstract ii 致謝 iv 目錄 vi 圖目錄 viii 表目錄 ix 縮寫列表 x 符號說明 xii 一、緒論 1 1.1 研究動機 1 1.2 本文結構 6 二、文獻回顧 7 三、問題描述12 3.1 術語與常用縮寫 12 3.2 動態攔截 12 3.3 SDDRE 導引法則概要 16 四、計算改進的分析 19 五、實驗結果–數值實驗與分析 20 5.1 [1, Fig. 10] 的模擬重建 22 5.2 更具挑戰性的延伸設定 28 5.3 更多的延伸設定 32 5.4 實驗之總結 37 六、總結 40 七、發表著作 42 參考文獻 43
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指導教授	林立岡	審核日期	2023-7-31
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