Aircraft Positioning in a Multi-Position Surveillance System Based on a Modified Least-Squares Method

The concept of improving surveillance within the air traffic control (ATC) system is based on the use of modern technological solutions for the benefit of civil aviation of the Russian Federation. Currently, high-precision and continuous determination of the aircraft position can be ensured through the use of a multi-position surveillance system (MPSS). This article proposes an algorithm for determining the aircraft position in the MPSS based on the modified least squares method (MLSM). A distinctive feature of the proposed algorithm is the obtaining of estimates of aircraft coordinates under the assumption of random measurement errors and the estimated state vector with a nonlinear dependence of measurements on the estimated parameters. To evaluate the accuracy of the proposed algorithm, experimental studies were conducted through computer simulation. Analysis of the obtained results demonstrated high accuracy of aircraft coordinate determination and consistency with theoretical data. Thus, the use of the developed algorithm based on the modified least squares method allows for the estimation of aircraft coordinates in a multi-position surveillance system with high accuracy under the random behavior of the estimated state vector and measurement errors.