Abstract
We consider the problem of damping oscillations of a payload, attached at the end of the elastic beam, by means of an active dynamical absorber with a mass moving along the guide. The system is controlled by the force of interaction between the absorber body and the payload. A bounded feedback control is proposed which brings the system to a prescribed equilibrium state in a finite time even in the presence of disturbances, for example, the forces of dry friction.
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