Finite-time Control of a Class of Engineering System with Input Saturation via Fractional-order Backstepping Strategy

In this paper, the finite-time stabilization of a class of engineering system is investigated, to realize this control objective, the fractional-order backstepping strategy is applied. In the process of design the finite-time controller, the controlled system is assumed to be affected by disturbance, and the upper bound of the disturbance is unknown in advance. Furthermore, the effect of saturated nonlinear input is taken into consideration. Meantime, some special forms of adaption laws are proposed so as to recognize these unknown parameters. The Lyapunov theory in fractional-order form is available to verify that every subsystem is finite-time stable. In the end, simulation example is provided to confirm the efficiency of the given control method.