A new semi-active control strategy is developed to adjust the voltage/current of magnetorheological (MR) dampers to track the optimal/desired damping force by the Linear Quadratic Regulator (LQR) method. Integrated with the new strategy, a modified inverse dynamic model is proposed to evaluate the value of evolutionary variable based on the Bouc-Wen model of MR dampers. This new strategy is firstly applied to a one-story building under El-Centro earthquake, and it is further applied to the dynamic response control of a fixed jacket offshore platform. The results show that this new semi-active control strategy can achieve efficient vibration control.

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