Aircraft afterward positioning method and system based on incomplete measurement

Abstract

The embodiment of the invention provides an aircraft afterward positioning method and system based on incomplete measurement, and the method comprises the steps of building a corresponding physical model and a mathematical model for an aircraft according to the motion track of the aircraft which completes the flight motion, and jointly forming a motion trail sparse representation model of the aircraft through the physical model and the mathematical model of the aircraft, when the observation of the aircraft has incomplete measurement, the measurement model of the motion trail of the aircraft being a nonlinear partially underdetermined time sequence equation set; establishing a sparse representation optimization model of the aircraft according to the incidence relation between the aircraft motion trail sparse representation model and the measurement model; solving the sparse representation optimization model of the aircraft to obtain a to-be-estimated parameter vector; and obtaining the completed flight motion trajectory of the aircraft according to the to-be-estimated parameter vector. The sparse representation of the to-be-estimated parameter vector is realized, and when the measurement is incomplete, the positioning research on the aircraft after the event is realized through the comprehensive use of the measurement data in the whole process.

Description

technical field [0001] The invention relates to the field of aircraft positioning, in particular to an aircraft post-event positioning method and system based on incomplete measurement. Background technique [0002] For post-event positioning analysis of known aircraft, the concept of nonlinear time series equations comes from practical problems, and its basic mathematical model is described as follows: [0003] [0004] Where: x(t)=(x 1 (t),...,x m (t)) T , is the trajectory parameter vector of the target at time t, and each component x i (t) is a function that changes continuously with time; [0005] y(t)=(y 1 (t),y 2 (t),...,y n (t)) T is the actual measured value at time t (obtained by instrument observation); [0006] h(x(t))=(h 1 (x(t)), h 2 (x(t)),...,h n (x(t))) T is the real value of the measurement, called the measurement equation, which is generally a nonlinear function of the trajectory parameter vector x(t). At different times, due to the influen...

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Problems solved by technology

[0008] The non-linear partially undertimed sequence equation system is a special case of the equation system, which means that at a certain time t, when the number n of measured data (observed values) obtained is less than the number m of motion states , it is impossible to calculate x(t) from this system of equations. If the measurement does contain systematic errors, the solution is even more difficult

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