本篇論文創新提出動態次結構系統之可次結構性分析理論，以預判工程系統測試之準確度、效能與強健性。動態次結構系統為混和測試的一種，其策略是將受測工程系統拆解為物理和數值次結構兩種子系統，一部分以全比例物理原型測試，一部分以數值模型模擬，因此結合了典型全比例測試法之可靠度，與數值解析法之高效率等優點。物理次結構內安裝致動器和感測器，組成傳動系統，以同步物理原型與數值模型之邊界條件。為消除傳動系統之不理想動態，同步控制器設計是確保測試成功之要素，以避免數值與物理次結構之輸出訊號傳遞失真，導致測試失敗。
　　近年已有許多文獻提出動態次結構測試存在「動態性」限制，若物理或數值次結構之原生動態不理想，例如低阻尼、極點靠近虛軸等等，容易引起測試不穩定、或者同步控制成效不佳，導致測試結果失真、不可靠、不易重複等等。因此本論文旨建構一套動態與強健性分析理論，以預判分析工程系統之可次結構性、避免低效能之動態測試或同步控制。
　　本論文利用狀態空間模型、李亞普諾夫函數、類黎卡提不等式和線性矩陣不等式來分析動態次結構系統之強健性，並提出七種與可次結構性理論相關的指標，以預判並量化測試的效能。若指標值較高，可次結構性低、測試或模擬可能不易進行、低效能或容易失真；相反地，指標值低，代表可次結構性高、測試可行、效率佳。本論文建構一個雙變數動態次結構系統進行模擬及實驗，結果皆驗證若指標值越高，測試結果越不精確，系統易受到雜訊的影響。本論文提出之可次結構性理論相關指標，將有助於產學界了解動態次結構測試之「動態性」問題、並尋求正確與合理的解決方案。

　　Substructurability theory is proposed to analyze the feasibility and suitability of dynamically substructured system (DSS) testing methods, and substructurability index quantifies the implementation efficiency of DSS tests. DSS is one of the hybrid testing techniques, which decompose an engineering system into numerical and physical substructures. Successful tests require a robust controller to compensate for unwanted dynamics introduced by actuator systems within the physical substructure and to achieve synchronized responses of the numerical and physical outputs in real-time.
　　However, it is noted that the dynamic properties of the substructures sometimes influence the synchronization stability and accuracy. For example, low damping coefficient might cause system unstable or testing inefficiency. Therefore, this study introduces the concept of substructurability via a theory of system analysis in order to suggest the efficiency and robustness of DSS.
　　This study analyze the robustness of DSS via state space representations, Lyapunov functions, Riccati-like inequalities and linear matrix inequalities (LMI) to propose 7 different indices to evaluate the testing efficacy in advance. When the index has a larger value, this means the corresponding real-time dynamic test is not robust and inefficient. When the index has a smaller value, the dynamic test is relatively robust and efficient. Analytical and experimental results based on a two-variable mass-spring-damper DSS are presented to verify this theory. The substructurability theory is contributive to interpret the dynamic limits of DSS and is helpful to search for reasonable solutions.

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