Design of a Novel Fractional Order Sliding Mode Controller for Hypersonic Vehicle Attitude Control

This paper proposes a novel fractional order sliding mode controller for a second-order nonlinear system with disturbance. The new method contains fractional order terms which unify the form of traditional integer order PID. Firstly, the second-order nonlinear system with disturbance is investigated. Then a fractional order sliding mode controller is raised and the stability is proved based on Lyapunov stability theory. Furthermore, the numerical simulations are presented which show the effectiveness of the proposed method in the nonlinear second-order system. Finally, the proposed method is applied to hypersonic vehicle. The simulations show that the method in this paper can achieve satisfactory control results under external disturbance.