Relative navigation algorithm for chaser satellite based on robust H_∞ filtering

Under the condition of the chaser satellite with orbit maneuvering, a relative navigation algorithm based on robust H_∞ filtering theory is researched, considering parametric uncertainties and non-Gaussian noise inputs. By means of the linear matrix inequality technique, the necessary and sufficient condition of the robust H_∞ filtering for discrete system with norm-bounded uncertainties is derived. The filter design is transformed into a convex optimization problem in terms of linear matrix inequality. Finally, the numerical simulation results show that the algorithm is effective in the presence of large orbit maneuver can eliminate unfavorable effects of parametric uncertainties and non-Gaussian noise inputs, and it is applied to the relative navigation of chaser satellite.