Abstract. We consider the optimal control of the trajectory of a car movement in a horizontal plane. The solution is formed using the algorithm of sequential optimization with the target functional hierarchy. The first functional describes the requirements regarding the angle of the trajectory deflection, while the second one regarding the linear coordinates of the center of mass of the car at the final moment. Moreover, the second functional includes the penalty function characterizing the forbidden areas of traffic defined by the dynamics of the other moving vehicles. We present the numerical modeling results showing that the algorithm of sequential optimization allows solving the problem increasing the traffic safety by avoiding the collisions with the other moving car.

Keywords: car, optimization of management, dynamics.