Nonlinear Strategies for Longitudinal Control in the Stabilization of an Oscillating Suspended Cable

Thefeasibility of reducing vibrations in suspended cables by animposed longitudinal displacement of one support is investigatedthrough an analytical model. A noncollocated active control schemeis considered where modal amplitudes describing transverse oscillationsare used in the feedback control action at the boundary. A 2DOFnonlinear model of the cable is used to design state-feedbackcontroller. Linear and nonlinear velocity feedback and feedbackbilinearisation are shown to produce a nonlinear and bilinearactively-damped system, respectively. The controlled system performanceis analysed comparing the effectiveness of the different strategieson both control demand and response amplitudes in the stabilizationof the equilibrium position. Control spillover effects are commentedthrough an enlarged 8DOF modal description of the controlledcable oscillations.

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