This paper presents a nonlinear 3D-vector guidance law. It is based on kinematic vector equations, where the commanded thrust is bounded, and the interceptor does not know the target evasive strategy. The resulting game theoretic guidance law with miss-distance as the cost, is nonlinear, aligned along the zero-effort-miss (ZEM) direction, and the time-to-go is a solution of a quartic polynomial equation in feedback form. This time-to-go is the actual one provided both players play optimal. If the evader does not play optimal, capture occurs earlier. Moreover, optimal strategies in line-of-sight (LOS) coordinates are also presented. It is found that these strategies are functions of the range, range rate, and the LOS rate. Simulations demonstrate the possibility of a miss at the first pass, but eventual capture.
3D-nonlinear vector guidance and exo-atmospheric interception
IEEE Transactions on Aerospace and Electronic Systems ; 51 , 4 ; 3014-3022
2015-10-01
1001200 byte
Article (Journal)
Electronic Resource
English
3D-Nonlinear Vector Guidance and Exo-Atmospheric Interception
British Library Conference Proceedings | 2015
|Variable structure guidance law for extra-atmospheric interception
British Library Online Contents | 1996
|Satellite proximate interception vector guidance based on differential games
British Library Online Contents | 2018
|