Finite-time convergent guidance law based on integral backstepping control

In this paper, a novel guidance law with finite time convergence is designed considering autopilot dynamics. In fact, this law is derived by introducing finite time integral backstepping and applying it to guidance system. The robustness of the guidance system against target maneuvers can be improved by integrating an integral function into the backstepping method. The proposed law guarantees that the line-of-sight (LOS) angular rate converges to zero in finite time. This way, the finite time stability of the guidance system is proved even when the autopilot dynamics are considered as a first-order differential equation. Finally, the superiority of the proposed method is substantiated by simulation results in comparison with terminal sliding mode guidance law.