A.V. Korennoj1, E.A. Bogoslovskiy2, M. K. Almahmud3

1–3 Air Force Academy n.a. Professor N.E. Zhukovsky and Yu.A. Gagarin (Voronezh, Russia)
1 korennoj@mail.ru, 2 qro76@yandex.ru, 3 malmahmud04@gmail.com

Improving modern systems for processing trajectory information is possible by combining several meters into a single multi-sensor system (MSS). The paper presents the technical characteristics of modern airspace control equipment, the analysis of which reveals the complexity of constructing the MSS, due to their significant differences. The main difficulty in integrating several sensors is that they all have information update periods that are different from each other, and not always multiples of an integer. The goal of the work is to develop a modified algorithm for integrating meters with different information update periods for MSS processing of trajectory information. To achieve this goal, the work used the Kalman filtering apparatus, which is the most common tool for solving problems of trajectory signal processing. The development of the modified algorithm was carried out from simple to complex, for which the presence of one MSS sensor was first assumed, a dynamic equation was specified that described the air target (AT) of interest and an equation characterizing the measurement obtained by this sensor in each information update period. After this, a decision was made to increase the information update period and, accordingly, to deteriorate the quality of filtering the coordinates of the AT. This result is confirmed by the results of computer simulations. To increase the accuracy of the estimate when the number of measurements is reduced, it is necessary to form it not only in the samples of the increased information update period, but also between them, that is, to extrapolate the estimate over the interval of no measurements. This approach can be applied to an MSS consisting of several sensors. In this work, relations are obtained that determine the estimate of the filtered coordinate and the value of the posterior dispersion. The work shows that with this approach, time mismatches will occur in each sensor. They can be compensated by installing a delay line at the input of each sensor by an amount determined by the difference in their information update periods.It is known that parallel and sequential construction of MSS is possible. The paper considers a parallel case. When developing a modified algorithm for integrating meters with different information update periods, the ranking of meters was adopted: the first sensor has the shortest information update period, and the rest are included as it increases. In this case, the first sensor is considered “the best” in terms of the value of the update period and the quality of the resulting estimate of the filtered coordinate. It is proposed to use the assessment of the first sensor to fill in the missing measurements of each subsequent sensor. Taking this approach into account, a modified algorithm for integrating meters with different information update periods was obtained in this work. A block diagram of the MSS that implements this algorithm has been developed. The performance of this algorithm has been studied, which consists in computer modeling of the resulting estimate of the coordinates and filtering accuracy. The simulation results illustrate the fact that the integration of meters with different information update periods through the use of the developed modified algorithm makes it possible to obtain a significant gain in the accuracy of AT. The advantage of this algorithm is the synchronization of sensors having different technical characteristics.

Korennoj A.V., Bogoslovskiy E.A., Almahmud M.K. Bundling of meters with different periods arrival of input data. Dynamics of complex systems. 2023. V. 17. № 4. P. 26−33. DOI: 10.18127/j19997493-202304-03 (in Russian)

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