Using the conception of dynamical inverse problems in problems of vertical navigation

Abstract

We consider an approach to the generation of control functions in the mathematical model of aircraft motion based on the methods of dynamical inverse problems. We focus on finding control functions for the model of motion with controls in the form of an angle of attack and a thrust equivalent. We show that the algorithms ensuring the solution of the main problems of vertical navigation can be constructed. In this case, the control functions are obtained as solutions of some nonlinear equations. We present the results of simulations of the stage of an aircraft’s take-off using the algorithms developed by us.