Abstract
We solve the direct problem of longitudinal wave motions of a piezoceramic rod under the action of electric excitations variable as a function of time. The solutions obtained as a result explicitly depend on the applied voltage. Interpreting the rate of changes in the electric voltage as a function of control, we pose and solve two problems of optimal control, namely, the problem of transfer of the observed points of the rod into prescribed positions by minimizing the norm of control and the problem of transfer of the rod with the best possible rate and certain restrictions imposed on the norm of control. The results of numerical analysis of the time dependence of the optimal electric voltage applied to the rod are presented and the plot of the norm of optimal control versus the period of control is constructed.
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