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Residual Physics-Informed Neural Networks for High-Fidelity BLDC Motor Modeling

This paper presents a Physics-Informed Neural Network (PINN) with a deep residual (ResNet) backbone that learns a continuous-time surrogate of the full six-state BLDC motor dynamics. Given simulation time, applied three-phase voltages, and excitation parameters as inputs, the network directly predicts all motor state variables -- rotor angle, angular velocity, three-phase currents, and winding temperature -- while simultaneously satisfying the governing electromechanical and thermal ODEs through a composite physics-data loss. A curriculum scheduling strategy gradually activates the physics penalty to prevent premature convergence. Training runs are completed in under two minutes on a standard CPU. Crucially, once trained, PINN inference achieves latencies of 0.1--22, mu s per query, up to 118x faster than conventional ODE solvers, making it suitable for real-time observer and control applications.

SourcearXiv RoboticsAuthor: Haitham El-Hussieny

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[Submitted on 10 Jul 2026]

Title:Residual Physics-Informed Neural Networks for High-Fidelity BLDC Motor Modeling

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Abstract:Accurate dynamics modeling of Brushless DC (BLDC) motors is fundamental to high-performance robotic joint control. This paper presents a Physics-Informed Neural Network (PINN) with a deep residual (ResNet) backbone that learns a continuous-time surrogate of the full six-state BLDC motor dynamics. Given simulation time, applied three-phase voltages, and excitation parameters as inputs, the network directly predicts all motor state variables -- rotor angle, angular velocity, three-phase currents, and winding temperature -- while simultaneously satisfying the governing electromechanical and thermal ODEs through a composite physics-data loss. A curriculum scheduling strategy gradually activates the physics penalty to prevent premature convergence. Training runs are completed in under two minutes on a standard CPU. Crucially, once trained, PINN inference achieves latencies of 0.1--22, mu s per query, up to 118x faster than conventional ODE solvers, making it suitable for real-time observer and control applications.

Subjects:

Robotics (cs.RO)

Cite as: arXiv:2607.09136 [cs.RO]

(or arXiv:2607.09136v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2607.09136

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Haitham El-Hussieny [view email] [v1] Fri, 10 Jul 2026 06:47:02 UTC (672 KB)

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