Nonlinear Analysis and Control of the Fractional-order Buck-Boost DC/DC Converter

Based on the inductance and capacitance in the actual engineering and the essence of fractional order characteristics, applying the idea of fractional order calculus, fractional Buck - Boost converter model is established, including the piecewise function model and the fractional average state model. The transfer function is deduced and analyzed by the established fractional model, and its model is simulated by Matlab / Simulink. In order to the further study of the system, a nonlinear controller for fractional-order Buck-Boost converter is designed based on the kind of Lyapunov stability theory of fractional order system,and has carried on the simulation.The results show that the design of the fractional-order nonlinear controller is feasible and effective.