Dynamics Analysis and Control of Fractional-Order Synchronous Reluctance Motor Based on Chaotic Neurons and ZNN

With the widespread application of motor drive systems in fields such as industrial automation and new energy vehicles, the impact of their nonlinear dynamical behavior on control accuracy and stability has become increasingly significant. Chaos theory provides new insights for revealing and regulating complex nonlinear phenomena in motor systems. Based on chaos theory, this paper takes the synchronous reluctance motor as the research object and proposes, for the first time, a fractional-order mathematical model of the synchronous reluctance motor based on chaotic neurons. Then, the chaotic dynamical behaviors of the fractional-order mathematical model at orders of 0.99 and 0.97 were analyzed. Through bifurcation analysis, Lyapunov exponents, Poincare sections, and attraction domains reveal the mechanism of chaotic oscillation induced by external excitation current and multiple parameter modulation factors. Subsequently, a closed-loop control system based on the Zeroing Neural Network (ZNN) algorithm was designed, which effectively suppressed the chaotic behavior in the motor system’s mechanical rotor angular velocity, phase current, and rotor electrical angular velocity, thereby significantly enhancing the system’s stability. Finally, the effectiveness of the proposed method was validated through simulation experiments, providing theoretical support for the design of motor drive systems.

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Publication Details

Journal
Fractal and Fractional
Published
2026-07-27
DOI
https://doi.org/10.3390/fractalfract10080512
Primary Topic
Chaos control and synchronization
Type
article
Field-Weighted Citation Impact
0.00

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article

Dynamics Analysis and Control of Fractional-Order Synchronous Reluctance Motor Based on Chaotic Neurons and ZNN

Fei Yu, Mingyang Lv, Ze Lv, Li Cui et al.
Fractal and Fractional
Chaos control and synchronization
article

Dynamics Analysis and Control of Fractional-Order Synchronous Reluctance Motor Based on Chaotic Neurons and ZNN

Fei Yu, Mingyang Lv, Ze Lv, Li Cui, Jie Jin, Weiwei Li
article en

Abstract

With the widespread application of motor drive systems in fields such as industrial automation and new energy vehicles, the impact of their nonlinear dynamical behavior on control accuracy and stability has become increasingly significant. Chaos theory provides new insights for revealing and regulating complex nonlinear phenomena in motor systems. Based on chaos theory, this paper takes the synchronous reluctance motor as the research object and proposes, for the first time, a fractional-order mathematical model of the synchronous reluctance motor based on chaotic neurons. Then, the chaotic dynamical behaviors of the fractional-order mathematical model at orders of 0.99 and 0.97 were analyzed. Through bifurcation analysis, Lyapunov exponents, Poincare sections, and attraction domains reveal the mechanism of chaotic oscillation induced by external excitation current and multiple parameter modulation factors. Subsequently, a closed-loop control system based on the Zeroing Neural Network (ZNN) algorithm was designed, which effectively suppressed the chaotic behavior in the motor system’s mechanical rotor angular velocity, phase current, and rotor electrical angular velocity, thereby significantly enhancing the system’s stability. Finally, the effectiveness of the proposed method was validated through simulation experiments, providing theoretical support for the design of motor drive systems.

Fractal and FractionalVol. 10(8)
Hunan University of Science and Technology (CN), Changsha University of Science and Technology (CN), Hunan Institute of Technology (CN)
Education Department of Hunan Province, Natural Science Foundation of Hainan Province
Affordable and clean energy
Openalex Percentile: Top 9%
Chaos control and synchronization
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