Nonlinear feedback control strategies for an oscillating suspended cable

Active control using boundary motion can be an attractive way to reduce cable vibrations. In the present paper an imposed longitudinal displacement of one support is considered as feedback. Based on a discrete model description of cable spatial oscillations, different control laws are derived. Linear and nonlinear velocity feedback, feedback bilinearization and feedback linearization are shown to produce respectively a nonlinear, bilinear and linear actively damped system. Analysis of the controlled system performance is presented, comparing the different approaches, in which both control intensity and response amplitudes are observed