Control of the motor car's directional motion

A flat model of the motor car's directional motion with two degrees of freedom (lateral motion of the center of gravity and relative bearing) is considered. The control is performed by turning steering wheels. The system is regarded as a closed automatic control system. The paper discusses finding an optimal transfer characteristic which in some definite sense is the best for the closed system. Possible criteria of optimization are analyzed. It is shown that the minimum of the functional from the off-path jogging of the guiding point (the point located on the longitudinal axis of a motor car ahead in the direction of motion) and the turning angle of the steering wheels is the most appropriate criterion for controlling this object.