Design of anti-ship missile's terminal guidance law with multiple constraint based on Backstepping

Through Backstepping of nonlinear control theory, a guidance law is designed to meet three constraints of miss distance, overload and terminal attack angle and hit the sea maneuvering target. Through selecting the appropriate state variable, missile guidance model can make the system a stabilization one with strict feedback form. Lyapunov function and the corresponding stabilization law are presented. Backstepping design steps are used in recursion of the corresponding stabilization law, which is the missile guidance law. The guidance law is simple in the form and full of robustness. It restrains the goal's maneuver, and guidance law variables can be measured. The simulation result shows that under the guidance law, the maneuvering target on the sea can be hit at the anticipant terminal attack angle. Missile flight overload and miss distance can be converged to a certain range as well.