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Technique of feedforward and feedback optimal vibration control and simulationfor long-span cable-bridge coupled systems is developed. Buffeting loading systemsof long-span cable-bridge structure are constructed by weighted amplitude wavesuperposition method. Nonlinear model of cable-bridge coupled vibration controlsystem is established and the corresponding system of state space form is described. In order to reduce buffeting loading influence of the wind-induced vibration for thestructure and improve the robust performance of the vibration control, based onsemiactive vibration control devices and optimal control approach, a feedforwardand feedback optimal vibration controller is designed, and an algorithm is presentedfor the vibration controller. Numerical simulation results are presented to illustratethe effectiveness of the proposed technique.

Feedforward and Feedback Vibration Control and Algorithm Design for Cable-Bridge Structure Nonlinear Systems