ON THE ISSUE OF MATHEMATICAL MODELING OF THE LATERAL TRAJECTORY MOTION CONTROL OF THE AIRCRAFT BY THE CRITERION OF SPEED

Abstract

Considered are the issues of constructing the optimal control of the movement of the aircraft according to the criterion of control speed under constraints on the magnitude of the impact (roll angle) under conditions of large deviations described by the nonlinear model of lateral navigation movement, taking into account the constant crosswind. The issues of constructing an aircraft trajectory, optimal by the criterion of maximum speed, from a point in the phase space, given by coordinates and a heading angle, to another point are considered in the fundamental work of L. Ye. Dubins [4]. General questions of the synthesis of programmed control of dynamic systems are presented in the works of Atans Zh. And Falba PL [5], Afanasyev VN, Kolmanovsky VB, Nosov VR [1].