Trajectory Control Over Bearings-Only Observations in One R-Encounter Problem

Abstract

A fixed time guidance problem with a mobile observer and a target which moves in a plane along a straight line with a constant speed is considered. During the guidance time interval the observer measures noisy bearings to the target at discrete time moments and accomplishes current TMA. The aim of the guidance is to approach a prescribed distance R to the target (R-encounter) at the given terminal instant T, maximizing cumulative information about targets motion components. The maximization gives a possibility to improve estimation of these components. As a measure of such information a determinant of the Fisher information matrix is considered. An optimal control problem for the observer is formulated. An illustrative numerical example is represented.