Bi-criteria Aircraft Trajectory Optimization in Implementing the Area Navigation Concept

Abstract

To solve a problem of bi-criteria optimization of an aircraft flight trajectory using the data of satellite navigation systems, the authors suggest an approach based on the game theory methods. The target was set to organize trajectory control with two partial criteria of optimality (desired track deviation and position-fixing error) minimized simultaneously. It is shown that the minima of individual partial criteria are generally achieved with different control inputs and hence with different flight path parameters so there is a need to form an additional strategy for decision making in a bi-criteria optimization problem taking into account existing restrictions. Based on the multi-criteria optimization methods, an algorithm for aircraft trajectory control was synthesized. The comparative analysis of the research results shows that the synthesized algorithms of optimal control based on the suggested approach make it possible to find a compromise solution for a multi-criteria trajectory optimization problem in the area of global navigational satellite system augmentation. Proposals were drawn up to construct spatial programmed trajectories aiming to high-accuracy navigational sightings.