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...

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Bibliographic Details
Published in2024 IEEE 18th International Conference on Control & Automation (ICCA) pp. 89 - 94
Main Authors Liao, Xiaozhong, Wang, Yong, Yu, Donghui
Format Conference Proceeding
LanguageEnglish
Published IEEE 18.06.2024
Subjects
Bifurcation
Buck-Boost Converter
Caputo-Fabrizio Derivative
Chaos
Inductance
Iterative methods
Simulation
Slope Compensation Control
Software packages
Transformers
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Summary: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.
ISSN:1948-3457
DOI:10.1109/ICCA62789.2024.10591819