Stabilization of a class of fractional-order systems with both model uncertainty and external disturbance

This paper investigates the stabilization problem of a class of fractional-order systems with both model uncertainty and disturbance. By combining the the dynamic feedback control method and the uncertainty and disturbance estimator (UDE)-based control method, a new control method is proposed to stabilize the fractional-order system by two steps. In the first step, the integral order dynamic feedback is designed to stabilize the nominal fractional-order system. An UDE-based fractional-order controller is presented to estimate the whole of uncertainty with external disturbance in the second step. Finally, one numerical example is given to verify the accuracy and validity of the proposed methods.