Controller design for a class of switched nonlinear systems based on fractional order backstepping

A fractional order control strategy for the switched nonlinear systems is presented in this paper. The fractional calculus is applied in the Backstepping control method. By constructing a virtual feedback variable, a fractional order feedback control law is proposed, and the switching law is established based on multi-Lyapunov functions. The state feedback controllers and switching law can guarantee the system's asymptotic stability. The simulation result shows the effectiveness of the proposed control strategy.