The Finite-Time Stability of a Class of Fractional Order Nonlinear Systems via Dynamic Sliding Mode

In this paper, the finite-time stability of a class of fractional order nonlinear systems is studied. By using the finite-time stability and the sliding mode control theory, a new dynamic sliding-mode controller is proposed, which will restrain the chattering and accelerated arrival at the sliding surface. The finite-time stability of the fractional-order nonlinear systems with external disturbances and uncertainties is achieved under the designed controller. Finally, one typical examples of three-dimensional fractional order Lorenz system are used to demonstrate the effectiveness and feasibility of the designed controller.