State Feedback Control Design for Fractional Order Nonlinear Lower Triangular Systems

By the Lyapunov function method, this paper studies the design of the state feedback stabilizing controller for fractional order nonlinear lower triangular systems, and presents a number of new results. Using introducing appropriate transformations of coordinates, the problem of controller design is converted into the problem of finding some parameters. Based on the Lyapunov function method and some properties of Caputo fractional derivative, the state feedback stabilizing controller makes the closed-loop system asymptotically stable. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.