Abstract:An active vibration control system is proposed for the bridge deck of a cable-stayed bridge subjected to wind, traffic, and seismic excitations, considering the effects of time delay and varying output effectiveness of magnetostrictive actuators. Optical encoders and torque sensors provide displacement and control force feedback. A reduced-order bridge deck model is employed to jointly estimate the equivalent time delay and actuator effectiveness, enabling prediction of the modal states at the actual control force application instant. Control commands are constrained by amplitude, rate-of-change, and passivity (non-energy-injection) requirements. Experimental results show that the proposed system effectively accommodates variations in control delay and actuator performance, achieving significant vibration suppression of the bridge deck.