Perturbation Based Guidance for a Generic 2D Course Correcting Fuze

Velocity To Be Gained Guidance for a Generic 2D Course Correcting Fuze

“…In the current work we extend some of the perturbation guidance results for the atmospheric case that were developed specifically for spinning projectile guidance applications in Ref. 25. Using these results as a basis, we propose a version of velocity to be gained guidance which is adapted to course correcting fuzes with generic 2D control.…”

“…Much of what follows centers around the dependence on initial values for solutions to ordinary differential equations (ODEs) and for this reason we shall use the mathematical formalism of flows to describe the projectile trajectories. 25…”

“…In Ref. 25 it is shown that for a standard firing scenario for a 155mm artillery projectile and times up to 25s the upper part of the matrix on the right in (8) can be approximated as…”

“…In Ref. 25 it is shown that for a standard 155mm artillery projectile firing scenario and times up to (at least) about 10s it is a good approximation to use the vacuum trajectory approximation in (20) as the solution to (21) when ( ) = 3×3 . By a slight extension of that argument it can be shown that the vacuum trajectory solution to (21) is a good approximation also for a ( ) as in (17), provided (18) holds.…”

Guidance and Control Design for a Class of Spin-Stabilized Projectiles with a Two-Dimensional Trajectory Correction Fuze

“…Of course, some new methods are proposed for guidance [23,24]. Perturbation based guidance for a generic 2D trajectory correction fuze is proposed by Robinson, which uses perturbation theory to predict state variables of the projectile [25]. The advantage is that the onboard computer can compute the control signal quickly by the parameters loaded prior to flight, but there is still a drawback that the guidance algorithm only takes drag force in consideration.…”