Method for tracking hypersonic velocity reentry vehicle based on Gaussian mixture approximate

Abstract

The invention discloses a method for tracking a hypersonic velocity reentry vehicle based on Gaussian mixture approximate. The method herein includes the following steps: establishing a movement tracking model of a hypersonic velocity reentry vehicle in a North East Up inertial coordinate system, and separately establishing a radar observation model and a target priori model set of a target tracking system; and based on the priori model set and the radar observation model, in combination with radar echo data, acquiring a target state smooth estimation value and a covariance matrix smooth estimation value. According to the invention, the method introduces a Gaussian mixture approximate theory, designs a Gaussian mixture smooth filter under multiple models, uses Gaussian component adaptive consolidation strategy, and selects smooth window length in a scientific manner, so that the method herein can avoid large amount of computation and particle degeneracy that often exist in particle filtering. The method has the characteristics of simple computing and easy implementation, can accurately estimate sudden maneuvering, and increases rapid and precise tracking capability of the hypersonic velocity reentry vehicle.

Description

【Technical field】 [0001] The invention belongs to the technical field of radar target tracking, in particular to a hypersonic reentry aircraft tracking method based on Gaussian mixture approximation. 【Background technique】 [0002] In recent years, the active tracking of hypersonic vehicle re-entry maneuver has gradually become a research hotspot in the military field. The hypersonic vehicle adopts the famous "Qian Xuesen ballistic" or "Sanger ballistic", and its motion process is generally divided into active stage, free stage and reentry stage. The re-entry stage refers to the stage when the target returns to the dense atmosphere. It is generally considered that the aircraft enters the re-entry stage at a height of 80-100km from the ground. Compared with aircraft and ordinary missiles, the re-entry aircraft has special features. It flies fast and has a high speed. Orbit-changing flight has a wide variety of maneuvering methods, complex and changeable, and the maneuvering...

AI Technical Summary

Problems solved by technology

In the filtering algorithm, EKF needs to be linearized and has a large error; UKF is not suitable for solving high-dimensional problems of the state; the PF algorithm relies on a large number of particles and resampling methods, and has a large amount of calculation; the Gaussian mixture approximation method can approximate any nonlinear relationship and is suitable for The state of the re-entry target is strongly nonlinear, and it is necessary to solve the adaptive problem of the number of Gaussians

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