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

Xiaozhong Liao, Yong Wang, Donghui Yu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publication2024 IEEE 18th International Conference on Control and Automation, ICCA 2024
PublisherIEEE Computer Society
Pages89-94
Number of pages6
ISBN (Electronic)9798350354409
DOIs
Publication statusPublished - 2024
Event18th IEEE International Conference on Control and Automation, ICCA 2024 - Reykjavik, Iceland
Duration: 18 Jun 202421 Jun 2024

Publication series

NameIEEE International Conference on Control and Automation, ICCA
ISSN (Print)1948-3449
ISSN (Electronic)1948-3457

Conference

Conference18th IEEE International Conference on Control and Automation, ICCA 2024
Country/TerritoryIceland
CityReykjavik
Period18/06/2421/06/24

Keywords

  • Buck-Boost Converter
  • Caputo-Fabrizio Derivative
  • Chaos
  • Slope Compensation Control

Fingerprint

Dive into the research topics of 'Analysis and Control of Chaotic Behaviour in Buck-Boost Converters Based on the Caputo-Fabrizio Fractional Derivative'. Together they form a unique fingerprint.

Cite this