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Complex Dynamics and Hard Limiter Control of a Fractional-Order Buck-Boost System

Author

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  • Bo Yan
  • Shaojie Wang
  • Shaobo He

Abstract

Chaos and control analysis for the fractional-order nonlinear circuits is a recent hot topic. In this study, a fractional-order model is deduced from a Buck-Boost converter, and its discrete solution is obtained based on the Adomian decomposition method (ADM). Chaotic dynamic characteristics of the fractional-order system are investigated by the bifurcation diagram, 0-1 test, spectral entropy (SE) algorithm, and NIST test. Meanwhile, the control of the fractional-order Buck-Boost model is discussed through two different ways, namely, the intensity feedback and the hard limiter control. Specifically, the hard limiter control can be realized using a current limiter in the circuit, where the current limiter device is applied to control the branch current. The results show that the proposed fractional-order system has complex dynamic behaviors and potential application values in the engineering field.

Suggested Citation

  • Bo Yan & Shaojie Wang & Shaobo He, 2021. "Complex Dynamics and Hard Limiter Control of a Fractional-Order Buck-Boost System," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, March.
    • Handle: RePEc:hin:jnlmpe:5572840
    DOI: 10.1155/2021/5572840
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    Cited by:

    1. Lingling Xie & Jiahao Shi & Junyi Yao & Di Wan, 2022. "Research on the Period-Doubling Bifurcation of Fractional-Order DCM Buck–Boost Converter Based on Predictor-Corrector Algorithm," Mathematics, MDPI, vol. 10(12), pages 1-13, June.

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