Second order sliding mode control with backstepping approach for moving mass spinning missiles

An attitude controller using the second order sliding mode control methodology with a backstepping approach (SOSMCB) is designed and implemented for a spinning missile with two internal moving mass blocks. The system consists of a rigid body and two radial internal moving mass blocks and its mathematical model is established based on Newtonian mechanics. The control scheme integrates a second order sliding mode control algorithm into the last step of the backstepping approach, and its stability is proved by means of a Lyapunov function. The performance of the controller is demonstrated by numerical simulations, the results show that the attitude controller is stable and effective.