Integrated guidance and control backstepping design based on integral sliding mode surface for missiles

Based on integral sliding mode control, a backstepping controller which combines the sliding mode control and backstepping technology is proposed for the problem of integrated guidance and control for missiles. The backstepping controller is designed based on the nominal model for the pitch channel model of integrated guidance and control. In order to eliminate the “computation explosion”, the dynamic surface control strategy is employed by introducing a first-order filter to obtain the differential of the virtual control input. Then, a compensator based on integral sliding mode surface is used to improve robustness to the model uncertainties and external disturbances. By using the Lyapunov stability theorem, it is proved that the closed loop system is stable. Finally, the simulation results demonstrate the superiority and effectiveness of the control scheme.