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

Bo Yan | Zendy; Shaojie Wang | Zendy; Shaobo He | Zendy

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

Author(s) -

Bo Yan,

Shaojie Wang,

Shaobo He

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5572840

Subject(s) - limiter , control theory (sociology) , nonlinear system , chaotic , electronic circuit , fault current limiter , bifurcation diagram , mathematics , bifurcation , computer science , control (management) , engineering , physics , telecommunications , power (physics) , electric power system , quantum mechanics , artificial intelligence , electrical engineering

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.

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