The paper presents an approach that makes it possible to synthesize an optimal motion controller for a dynamic system. It is based on the identification of a physical model of a dynamic system. This made it possible to state the problem of controller synthesis. To implement this approach, a mathematical model in a form of a system of differential equations, is not required. It simplifies calculations. However, to realize the advantages of this method, it is necessary to estimate its quality at the stage of system identification. These calculations show the validity of the developed approach. The synthesis of the optimal controller was carried out by reducing the input problem to an unconstrained optimization of a complex topology objective function For this, a modified particle swarm method was used
controller synthesis, control, identification, optimization, dynamic system