Implementation of the Algorithm for Estimating the State Vector of a Dynamic System in Undefined Conditions

Abstract

A dynamic system, in particular a spacecraft, for which the task of combining information from sensors of navigation systems arises, is considered. Inertial navigation system and star sensor are used as the main navigation systems. The algorithm of guaranteed evaluation when combining the information of inertial navigation system and star sensor is proposed. When solving the estimation problem using a minimax filter, constructing an information set that is guaranteed to contain the true state of the system is a computationally difficult task for large-dimensional systems. That's why instead of exact construction of information sets their approximate value is used, i.e. approximation in the form of convex polyhedron obtained by approximation from above of “exact” but set implicitly by the system of linear equations and inequalities of information set. The result of guaranteed estimation is compared with the result of estimation with the Kalman filter.