Adaptive Sliding Mode Backstepping Control System

Abstract

In order to solve the problem of stability control of moving mass reentry vehicle, a backstepping sliding mode control law based on standard backstepping control theoryis designed. Taking the perturbation of the aerodynamic parameters as the uncertain factors, the vehicle rolling angle and rolling angular velocity dual-loop sliding mode controllers are designed respectively. The virtual control of the angular velocity and the displacement command of sliding module are obtained. In the case which upper bound of the uncertainty is unknown, the adaptive method is used to design the approaching law parameters, in order to compensate for the uncertainty, and the stability of the closed-loop system is proved based on the Lyapunov function. The simulation results show that the method is effective and the tracking error is less than 0.4%.