Finite-time stabilization of a class for nonlinear systems with dynamic feedback subject to input saturation

This paper considers the finite-time stabilization problem for a class of nonlinear systems with dynamic feedback subject to input saturation. A method is presented by using switching control strategy and state-scaling technique, which can divide a complex nonlinear systems into different simple subsystems in order to make that the states in every step converge to a given point or the equilibrium point in a finite time, and the saturation property of control inputs keeps for the design of controllers proposed in every step. Finally, a simulation example and the finite-time saturated controllers are given to illustrate the effectiveness of theorem.