Nonlinear strategies for longitudinal control in the stabilization of an oscillating suspended cable

The feasibility of reducing vibrations in suspended cables by an imposed lo ngitudinal displacement of one support is investigated through an analytica l model. A noncollocated active control scheme is considered where modal am plitudes describing transverse oscillations are used in the feedback contro l action at the boundary. A 2DOF nonlinear model of the cable is used to de sign state-feedback controller. Linear and nonlinear velocity feedback and feedback bilinearisation are shown to produce a nonlinear and bilinear acti vely-damped system, respectively. The controlled system performance is anal ysed comparing the effectiveness of the different strategies on both contro l demand and response amplitudes in the stabilization of the equilibrium po sition. Control spillover effects are commented through an enlarged 8DOF mo dal description of the controlled cable oscillations.