TY - GEN
T1 - Analysis and Control of Chaotic Behaviour in Buck-Boost Converters Based on the Caputo-Fabrizio Fractional Derivative
AU - Liao, Xiaozhong
AU - Wang, Yong
AU - Yu, Donghui
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - Buck-Boost Converter
KW - Caputo-Fabrizio Derivative
KW - Chaos
KW - Slope Compensation Control
UR - http://www.scopus.com/inward/record.url?scp=85200354181&partnerID=8YFLogxK
U2 - 10.1109/ICCA62789.2024.10591819
DO - 10.1109/ICCA62789.2024.10591819
M3 - Conference contribution
AN - SCOPUS:85200354181
T3 - IEEE International Conference on Control and Automation, ICCA
SP - 89
EP - 94
BT - 2024 IEEE 18th International Conference on Control and Automation, ICCA 2024
PB - IEEE Computer Society
T2 - 18th IEEE International Conference on Control and Automation, ICCA 2024
Y2 - 18 June 2024 through 21 June 2024
ER -