Semi-active H_∞ control for reducing responses of high-speed railway bridges retrofitted by tuned mass damper system with magnetorheological damper

摘要

To reduce resonant response of high-speed railway bridges, a combination of a tuned mass damper system and a magnetorheological damper (MR-STMD) is proposed in this paper. An H_∞, control algorithm for uncertain models with norm-bounded parameters is derived to drive magnetorheological damping forces. The results of the optimal control problem are obtained based on the approach of linear matrix inequalities (LMIs). Besides, adaptive neuro-fuzzy inference system technology (ANFIS) is also used to build the inverse model of MR dampers and enhance the tracking ability of MR dampers. It can lead to quite exact command voltage predictions. Finally, the effectiveness of the MR-STMD controlled by the proposed scheme is evaluated and compared with traditional tuned mass dampers through some numerical simulations. The results show that the MR-STMD controlled by the proposed algorithm can significantly reduce the resonant response of beams when compared with tuned mass dampers. Especially, it can improve the drawbacks of passive TMDs due to the de-tuning effect in manufacturing.