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Time-delay of magnetorheological elastomer bearing (MRB) can bring structural response menace to bridges.This paper investigates a bridge pier-bearing semi-active-coupling control method based on model predictive control (MPC).The presented strategy takes the structure prediction model to predict the state responses of the controlled plant in a period of future time.Then,the control law can be determined by solving a finite horizon optimization problem.The peak shearing force of pier top,the displacement and the acceleration of beam are chosen as control goals,and the vibration isolation rate is applied to characterize the vibration isolation effect.It is noted that MPC method naturally takes the time-delay and uncertain interference into consideration,and significantly improves the control performance of the system.Finally,the numerical example is described and the seismic response of isolated bridge based on MRB is analyzed.The simulation results show that predictive control can be used to control the time-delay of bridge system in different degrees.The best control performance is at 0.4 s.Even if the time-delay reaches 2 s,it is still good.Therefore,the control method significantly reduces the adverse effects of time-delay on the system,and has a good vibration isolation performance.