Motion control of a nonhomogeneous rod with a boundary load

Abstract

In this paper, a hybrid vibration system is considered. It consists of a transversally oscillating nonhomogeneous rod with a boundary load at the end, and a distributed control force is applied to the system. It is required to transfer the system from some initial state to the desired one without excitation of vibrations. We suggest to implement this motion with the help of slow finite control functions after preliminary damping of the highest eigenmodes.