The .exibility and low damping of the long span suspended cablesin suspension bridges makes them prone to vibrations due to wind and movingloads which affect the dynamic responses of the suspended cables and the bridgedeck. This paper investigates the control of vibrations of a suspension bridgedue to a vertical load moving on the bridge deck with a constant speed. Avertical cable between the bridge deck and the suspended cables is used toinstall a hydraulic actuator able to generate an active control force on the bridgedeck. Two control schemes are proposed to generate the control force needed toreduce the vertical vibrations in the suspended cables and in the bridge deck. Theproposed controllers, whose design is based on Lyapunov theory, guarantee theasymptotic stability of the system. The MATLAB software is used to simulatethe performance of the controlled system. The simulation results indicate thatthe proposed controllers work well. In addition, the performance of the systemwith the proposed controllers is compared to the performance of the systemcontrolled with a velocity feedback controller
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