INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELLING (ICAAMM2019), İstanbul, Türkiye, 10 - 13 Mart 2019, ss.20
The paper deals with the active vibration control of beam under moving mass. The aim of the paper is to give a theorotical consideration in order to damp out the undesired vibrations in the structure. An index of performance which consists of a modified energy of the system and penalty term resulted from actuators is defined. The optimization problem is to find the control voltage which damps out the displacements and velocities of the beam with the least control effort. A solution algorithm for the optimization problem is given and necessary conditions of optimality are derived. The numerical example is proposed in order to assess the effect of the control algorithm.