Research on three-dimensional impact angle constrained guidance laws

In order to improve operational effectiveness against the stiff surface targets, deep underground targets and the armored vehicles et al, guidance laws considering the terminal constraints on miss distance as well as the impact angle are derived in this paper. According to the dynamics and kinematics of the relative moving relations of the missiles against a stationary target in three-dimensional space, a three-dimensional impact angle constrained guidance law, based on the sliding mode control theory, is derived. Then, the extended trajectory shaping guidance law using the linear quadratic optimal control theory is analyzed and extended to the three-dimensional space to meet the terminal impact angle requirement. Finally, compared with the classical augmented proportional navigation guidance (APNG), numerical simulation results are presented to confirm the validity and superiority of the derived adaptive sliding mode guidance (ASMG) and the deduced extended trajectory shaping guidance (ETSG).