Analysis and Control of Chaotic Behaviour in Buck-Boost Converters Based on the Caputo-Fabrizio Fractional Derivative

This paper investigates the chaotic behavior of a transformer circuit using the proposed discrete iterative mapping of Caputo-Fabrizio definition-based fractional-order Buck-Boost converter, and proposes a chaos control method based on slope compensation.Initially, a discrete-time iterative mapping model for the Caputo-Fabrizio definition-based fractional-order Buck-Boost converter is established. Subsequently, the influence of inductor and capacitor orders on circuit bifurcation and chaotic behavior is analyzed using the Lyapunov exponents. Finally, a chaos control method based on slope compensation is proposed. Simulation results demonstrate consistency between the circuit's chaotic behavior and theoretical analysis, and the proposed chaos control method effectively extends the stable region of the Caputo-Fabrizio definition-based fractional-order Buck-Boost converter.