M.I. Sychev - Dr.Sc. (Eng.), Senior Research Scientist, Head of Department of the Radiolocation and Radionavigation Systems, Moscow Aviation Institute (National Research University). E-mail: sychev@mai.ru S.V. Fesenko - Deputy Director, Branch «Aeronautical Research Institute» State Research Institute of Civil Aviation Moscow. E-mail: fesenko@atminst.ru

Growth of intensity of air traffic and requirements on its safety leads to increase of requirements on support of trajectories of aircrafts on all sites of flight, including zones of intensive maneuvering. The particular interest is represented thereupon by multiple model algorithms. Aircraft movement is described by several models of possible movement. For example, for civil aircrafts at the description of horizontal movement three models are usually used. The first basic model is uniform movement. The second model is turn (circle movement). The third is change of speed. Aircraft tracking is carried out under the information from surveillance facilities. Today the primary and secondary surveillance radars are used. The general approach to the decision of a problem of aircraft tracking is the description of its movement by several models. The condition vector describing co-ordinates and parameters of aircraft movement has the discrete parameter. It is in-terpreted as an index of model of aircraft movement. This parameter is described by a Markov-s chain with the set matrix of probabilities of transition from one condition in another. In the literature the formal conclusion of the algorithm describing change of density of distribution of probabilities of a condition vector is spent. In practice, constructive algorithms turn out on a Gaussian approximation of the density distribution of probabilities function. Usually it is possible to interpret as linearization. In work block diagrams of three types of multiple model algorithms are presented. Comparison of their characteristics is spent. Results of simulations are presented. Growth of intensity of air traffic and requirements on its safety leads to increase of requirements on support of trajectories of aircrafts on all sites of flight, including zones of intensive maneuvering. The particular interest is represented thereupon by multiple model algorithms. Aircraft movement is described by several models of possible movement. For example, for civil aircrafts at the description of horizontal movement three models are usually used. The first basic model is uniform movement. The second model is turn (circle movement). The third is change of speed. Aircraft tracking is carried out under the information from surveillance facilities. Today the primary and secondary surveillance radars are used. The general approach to the decision of a problem of aircraft tracking is the description of its movement by several models. The condition vector describing co-ordinates and parameters of aircraft movement has the discrete parameter. It is in-terpreted as an index of model of aircraft movement. This parameter is described by a Markov-s chain with the set matrix of probabilities of transition from one condition in another. In the literature the formal conclusion of the algorithm describing change of density of distribution of probabilities of a condition vector is spent. In practice, constructive algorithms turn out on a Gaussian approximation of the density distribution of probabilities function. Usually it is possible to interpret as linearization. In work block diagrams of three types of multiple model algorithms are presented. Comparison of their characteristics is spent. Results of simulations are presented.

 

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