台灣地震發生頻繁，近年來更發生許多大地震造成嚴重損害，因此結構物減震研究持續受到重視。結構減震控制技術目前主要分為主動控制、被動控制與半主動控制，由於半主動控制比被動控制多了適應性，又比主動控制多了安全性，因此本研究採用磁流變阻尼器來實現半主動減震目的。過去文獻常用Bouc-wen模型模擬磁流變阻尼器之非線性遲滯動態，且有著高引用率的限幅最佳化控制法雖可以調控磁流變阻尼器之阻尼力，但控制電壓不連續使得細部追蹤控制無法有效達成。因此本論文以先前實驗室團隊提出之Duffing-like模型作為磁流變阻尼器的數學模型，應用在半主動減震工程，並深入討論Duffing-like模型之進階參數識別，藉由觀察遲滯曲線變化、基礎運動物理學與聯立方程式數學，找出Duffing-like模型參數唯一解，減少反覆試驗與錯誤嘗試的過程，使Duffing-like模型能夠迅速且正確地識別遲滯現象。接著本文再使用先前實驗室團隊提出之能量最佳化控制法調控磁流變阻尼器之阻尼力。
本研究使用國家地震工程研究中心之磁流變阻尼器與MTS油壓致動器為實驗設備，首先進行阻尼器遲滯模型之進階參數識別實驗，識別結果指出Duffing-like模型與實驗數據擬合相似度可達到90%以上。接著以Duffing-like模型設計能量最佳化控制方法之控制參數，並進行全數值模擬與動態次結構系統實驗。模擬與實驗結果都顯示能量最佳化控制法不但有效減少結構物位移，且相較於限幅最佳化控制法有較好的節能效果。此外，一系列識別與控制實驗證明本論文提出的Duffing-like模型進階參數識別方法，能夠精準、快速且有效地描述遲滯動態，提升半主動控制之減震效能。日後期望能將Duffing-like模型廣泛運用於識別不同的遲滯動態現象，並將能量最佳化控制法運用於有遲滯現象的減震元件，解決遲滯減震元件的控制難題。

In recent years, there are major disasters caused by earthquake in Taiwan, therefore the study of the vibration reduction of structural system has received increasing attention.
Structure control technology mainly divides into active control, passive control, and semi-active control. Semi-active control is more adaptable than passive control, and is more reliable than active control, so this study target the semi-active control, and take magnetorheological damper as the mainly vibration reduction elemen. The Bouc-Wen model in literature includes discontinuous, nondeterministic, and piecewise function render the system identification. In literature, the clipped-optimal control can reduce the vibration, but its control energy is not a continuous and smooth signal, and can not track in detail. In order to overcome the difficulties, the study introduces the Duffing-like model and the Energy optimization control（EOC）which is proposed by the team of Lab.
This study proposed a new identification method which uses Duffing-like model. By observing the variation of hysteresis, based on the basic motion physics and the simultaneous equation mathematics, and find the unique solution for Duffing-like model parameters. Then used the new identification method Applied to the EOC, and do the numerical simulation and Dynamic substructured system testing（DSS）to verify the effect of vibration reduction of control methods. This paper verifies the similarity of hysteresis between the model and the experimental can reach more than 90% by used the new identification method. According to the data of simulation and DSS experiment, we know that the EOC not only has good control effect but also has better control energy coefficient.

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