On One Problem of Controlling an Airplane-type Unmanned Aerial Vehicle with Given Intermediate Values of Different Parts of Coordinates

Abstract

The mathematical model of spatial flight of an unmanned airplane-type vehicle is considered. For a linearized mathematical model of an unmanned aerial vehicle the problem of synthesis of control laws with given initial, finite values of the phase vector and intermediate values of different parts of coordinates at different moments of time is solved. A necessary and sufficient condition for the existence of program control and the corresponding motion is formulated. The control functions and corresponding phase trajectories of motion are constructed. As an application of the proposed approach, explicit expressions of the program control function and program motion are constructed for specific numerical values.