Control algorithm for a linear dynamic system subjected to complex constraints

A linear dynamical controlled system is considered with complex constraints imposed on the control variables and state coordinates. A control algorithm is constructed which satisfies all constraints and drives the system to a prescribed terminal state in a finite time. It is shown that this algorithm can be used for a feedback control of the system subjected to perturbations. The operation of this algorithm is illustrated by an example of the control process of an electrically driven system.