A class of uncertain fractional-order systems control with perturbation

In this paper, we research the robust control of fractional-order uncertain systems with order 0-1 and perturbation. Firstly, sufficient conditions for stability of system are derived by fractional Lyapunov direct method. Secondly, the feasible solution of the controller parameters that satisfy the stability of the fractional-order system is calculated by using the solution method of LMI. Then, the system is controlled by state feedback controller. In this paper, the sufficient condition is given in the form of the linear matrix inequality, which makes the result simple and clear. The control method is not only simple in structure and operation, but also fast and robust. Finally, some examples are used to verify the effectiveness and practicability of this method.