Guidance Optimization for Tactical Homing Missiles and Air Defense Systems

Headnote

Received: 24 December 2018/Accepted: 2 February 2018/Published: March 2018

Copyright © 2018. Published by INCAS. This is an "open access" article under the CC BY-NC-ND

license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: The aim of this paper is to develop a functional approach to optimize the engagement effectiveness of the tactical homing missiles and air defense systems by utilizing the differential geometric concepts. In this paper the engagement geometry of the interceptor and the target is developed and expressed in differential geometric terms in order to demonstrate the possibilities of the impact triangles and specify the earliest interception based on the direct intercept geometry. Optimizing the missile heading angle and suitable missile velocity against the target velocity is then examined to achieve minimum missile latax, minimum time-to-go (time-to-hit) and minimum appropriate missile velocity that is guaranteed a quick and precise interception for the given target. The study terminates with different scenarios of engagement optimization with two-dimensional simulation to demonstrate the applicability of the DG approach and to show its properties.

Key Words: Homing Guidance, Guidance Optimization, Differential Geometry, Proportional Navigation (PN), Intercept, Engagement, Latax, Air Defense Systems (ADS), Line-Of-Sight(LOS)

(ProQuest: ... denotes formulae omitted.)

NOMENCLATURE

Basic Latin Letters

a_m a_t = Missile and Target lateral accelerations (m/sec2).

I = Impact point.

r_s = Sight line range (m).

r_t = Target range (m).

r_m = Missile range (m).

s_m , s_t = Length of missile and target trajectories.

t, n, b = Tangent, normal and bi-normal unit vectors.

t_s, n_s = Tangent and normal unit vectors of the LOS.

t_m , n_m Tangent and normal unit vectors of the missile trajectory.

t_t , n_t = Tangent and normal unit vectors of the target trajectory.

V_m , V_t = Missile and target velocities (m/sec).

Greek Letters

K_m ,K_t Missile and target curvatures (m^-1).

τ_m Missile heading angle.

τ₀ Sight line angle.

®mo , 0to Initial heading angle of the missile and the target.

n Missile to target velocity's ratio.

List of Abbreviations

ADS = Air Defense Systems.

DG. = Differential Geometry.

LOS. = Line of sight.

PN. Proportional Navigation.

SLR. Sight line rate of change.

t_2go....