Bounds on the Root-Mean-Square Miss of Radar-Guided Missiles Against Sinusoidal Target Maneuvers

摘要

In preliminary analysis of guided systems, it is required to assess the miss distance performance from some smallrnset of parameters. Previous papers presented analytical formulas of bounds on the root-mean-square miss by arnradar-guidedmissile against step- and exponential-typemaneuvers.This paper presents formulas against harmonic-rnsinusoidalmaneuvers.Moreover, a type ofmaneuver that is not treated in the literature, the continuously sinusoidalrnmaneuver with uncertain-randomfrequency andmagnitude, is introduced, and bound on themiss is presented. Thernformulas use a set of core parameters that affect themiss distance; thus, they can be used for synthesis and analysis ofrnthe performance of radar-guided tactical missiles. The bound is derived subject to assumption that the missilernguidance law and estimator are fully matched to the missile dynamics, the targetmaneuver, and the glint noise. Thernglint is the dominant noise source, themissile applies frequency agility, there is no blind range ormissile accelerationrnlimit, and the terminal phase period is sufficiently long so that initial conditions fade away. No system can achievernsmaller root-mean-square miss distance than the one presented, subject to the stated assumptions.