Adaptive compound control for the real-time hybrid simulation of high-speed railway train-bridge coupling vibration

The real-time hybrid simulation (RTHS), which combines experiment with numerical simulation, is an effective method to study the dynamic characteristic of high-speed railway train-bridge coupling vibration. In this paper, a simplified virtual RTHS platform of train-bridge coupling vibration is developed to illustrate the test logic and the feasibility of carrying out the physical test of moving train on bridge in a limited laboratory space. The accuracy and stability of the RTHS platform are highly dependent on the time delay caused by experimental loading device. The adaptive compound control composed of adaptive state feedback control (ASFC) and interpolation prediction algorithm is proposed to compensate for the time delay. Its adaptive control framework ensures the applicability by avoiding the need for prior knowledge of experimental substructure. The feedback control parameters are adjusted automatically, and the time delay is dynamically compensated according to the characteristics of the on-line estimated model of loading device and experimental substructure. The simulation results show that the proposed control is an effective approach for time delay compensation compared with the proportional control, the state feedback control, and the adaptive time-series control.