Tracking filters and models for seeker applications

Two-state tracking filters are considered for seeker applications. Estimation of the line-of-sight (LOS) rate is the main purpose and equations of motion for the LOS are discussed and simplified for design. An observer approach is applied, the filter transfer functions are given and the gain is designed by pole placement. Also a measurement time delay is taken into account. The filter properties are investigated for deterministic LOS rotations, which is a case of practical interest, corresponding to target maneuvers. The influence of measurement noise is also considered     

Analytical Steady State Solution for a Kalman Tracking Filter

Analytical expressions are given for the steady state solution to a Kalman tracking filter used in a track-while-scan radar system. The radar sensor measures range and range rate, and both these measurements are utilized in the filter. The solution for range measurements only is obtained as a special case. Graphs are also given which show how the solution depends on different parameters.     

Analytical Steady-State Solution for a Continuous Time Kalman Filter

Analytical expressions are given for the steady-state solution to a continuous time Kalman filter for a two-state model where both states are measured. The solution is obtained by a limiting operation on the known solution for the corresponding discrete time case. The solution is visualized in two graphs. The filter transfer function is also given.