Design of an adaptive stepping sliding mode controller for uncertain anti-ship missiles

Adaptive stepping sliding mode control strategy for the overload control of anti-ship missiles using Lyapunov's stability theory is proposed. In the first few steps, we assume there exists a virtual actuator, the virtual actuator concept can make the desired value can be easily traced, in the last step, a sliding mode controller is applied to guarantee the robustness of the system. At the same time, an adaptive controller is adopted to attenuate the unknown parameters and uncertainties; and because the switching term in the sliding mode control can cause the chattering phenomenon, a fuzzy controller is adopted to adjust it. The simulation shows validity of the proposed method.