Design of a sliding mode variable structure guidance law

According to the characters of the missile intercepting the target,a stochastic sliding-mode variable structure guidance law is presented for the stochastic system with states noises and measured noises,which based on the stochastic sliding-mode variable structure control theory.In this guidance law,it considers the contact between filter and controller and synthesizes the merits of optimal guidance law with line of sight rate convergence and sliding-mode guidance law with strong robust.Through theoretic analyzing,it is proved that the sliding mode is sub-achievable in the closed loop system.The numerical results show the effectiveness of the proposed control algorithm.