Multi-criteria optimization of the trajectory of an aircraft in the augmentation area of the satellite navigation system

Аuthors

Erokhin V. V.

Irkutsk branch of Moscow State Technical University of Civil Aviation, (MSTUCA), 3, Kommunarov str., Irkutsk, 664047, Russia

e-mail: ww_erohin@mail.ru

Abstract

A promising trend for improving organization and management of air traffic is the implementation of the concept of communications, navigation, surveillance and air traffic management, developed by the international civil aviation organization. This concept is based on the principles of broadcasting automatic dependent surveillance (ADS-B), which is a digital system for airborne transmission of flight path parameters by data of the global navigation satellite system (GNSS). To solve the problems of high-precision positioning and of flight safety, a ground-based augmentation system is used. When controlling the flight path, the aircraft position relative to the ADS-B ground station changes, thus affecting the Position Dilution of Precision (PDOP). In addition, when the distance from a local area augmentation system (LAAS) increases, the effect of decorrelation factors on the compensation of systematic errors increases as well.
Thus, the task of the trajectory managing arises under the condition of simultaneous minimization of several optimality criteria − minimization of the range and duration of flight, positioning error and reduction of the distance to the LAAS. The minima of individual particular criteria is generally achieved with varioius parameters of the flight path, therefore, in addition, the need to select the rules for decision-making in the multi-criteria optimization problem taking into account the existing constraints arises.
The goal of the work consists in synthesizing and studying the algorithm controlling an aircraft flight path in the terminal area when implementing the concept of area navigation based on multi-criteria optimization methods.
The algorithm for multi-criteria optimization of the flight trajectory in the area of GNSS augmentation is synthesized based on minimax control. It is shown, that the developed algorithm provides a compromise solution by the vector optimization criterion. Controlled flight trajectory allows reduce the range and flight time compared to the classical flight with high accuracy in determining the parameters of the flight path.
Thus, the developed algorithm for controlling trajectories allows us to find a compromise solution of the multi-criteria optimization problem. The obtained results can be applied for planning routes and flight profiles, as well as for programming the construction of spatial trajectories in order to achieve high accuracy of position fixing.

Keywords:

global navigation satellite system, trajectory, multi-criterion optimization, augmentation, area navigation, optimal control, Kalman filter

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