Robust analysis of different guidance laws of terminal guidance system under model uncertainties

The purpose of this paper is to analyze the robustness of the given guidance laws by quantify the influence of model and target maneuver uncertainties on system performance valued by miss distance. The Pure Proportional Navigation (PPN), True Proportional Navigation (TPN) and Generalized True Proportional Navigation (GTPN) guidance laws of terminal guidance system are considered in this paper. The analyzing performance is tackled by a differential linear matrix inequalities (DLMI) approach and this approach is demonstrated on a simple concrete example. The solution of DLMI is also proposed in this article which idea is to reduce it to an algebraic linear matrix inequality (LMI) by discretization. A numerical example is given to analyze the robustness of terminal guidance system (TGS) with different guidance laws in the end.