This invention discloses a robust relative navigation method for aircraft based on a
hybrid distribution under non-
Gaussian noise, belonging to the technical field of computation,
estimation, or counting. To address the problem of filter
divergence caused by non-stationary heavy-
tail noise in time-varying environments during relative navigation, this invention introduces a Dirichlet random mixture vector fusion of
Gaussian, Student's t, and multivariate K-distributions, proposing a
Gaussian-Student's t-multivariate K-distribution modeling of measurement likelihood. Then, by minimizing the KLD of the true
posterior probability density function and the approximate
posterior probability density function using variational Bayesian techniques, the approximate posterior estimates of the aircraft's
relative motion state and filter parameters are obtained, yielding the target's state information relative to the aircraft and solving for relative position and velocity. Finally, a
nonlinear filter based on the Gaussian-Student's t-multivariate K-distribution is derived to improve relative navigation accuracy for angle-only relative navigation of aircraft in time-varying environments.