Three-dimensional impact angle control guidance law using quaternion

Abstract

This paper suggests the impact angle control guidance law defined in three dimensional space. The formal impact angle control guidance laws were described as biased PN guidance law which consisted of PN and biased term. Now the proposed impact angle control guidance law is composed of the PN term extended from two-dimensional planes to three-dimensional spaces and the biased term using rotation angle and Euler axis of quaternion to express the desired impact angles control. We investigate the three-dimensional impact angle control guidance law via numerical simulations using dynamics model.