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March 8, 20260 citationsOpen Access

Real-Time Vibration Energy Prediction for Semi-Active Suspensions Using Inertial Sensors: A Physics-Guided Deep Learning Approach

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JCJian ChengNorth China Institute of Aerospace EngineeringFQFanhua QinNorth China Institute of Aerospace EngineeringLWLeyao WangNorth China Institute of Aerospace Engineering

Key Points

  • To predict future energy evolution in semi-active suspensions using a physics-informed deep learning model.
  • Developed a Physics-Informed Gated Convolutional Neural Network (PI-GCNN) for energy prediction.
  • Employed Continuous Wavelet Transform (CWT) to isolate transient shock features from vibrations.
  • Introduced a physics-guided gating mechanism for feature activation regulation.
  • Trained the model with an asymmetric sparse physics loss for noise suppression and sensitivity to impacts.
  • Validated using simulations and public datasets for high-fidelity performance.
  • Achieved a predictive phase lead of approximately 100-200 ms over real-time baselines.
  • Demonstrated computational efficiency with only 0.10 M parameters and 0.25 ms inference latency.
  • Enabled a valuable actuation window for suspension dampers, enhancing responsiveness.

Abstract

Response latency and sensor noise are universal challenges in closed-loop control systems. In the context of semi-active suspensions, these issues also exist and manifest as critical bottlenecks. Due to the highly transient nature of road shocks, the inherent physical actuation delays of the hardware, combined with the phase lag introduced by traditional signal filtering, often cause the control response to significantly lag behind the physical excitation. To address this issue from a predictive perspective, this study proposes a Physics-Informed Gated Convolutional Neural Network (PI-GCNN) designed to predict future multi-modal energy evolution, thereby enabling feedforward control. Unlike traditional feedback mechanisms, the proposed framework employs the Continuous Wavelet Transform (CWT) to convert short-horizon inertial data into time–frequency scalograms, effectively isolating transient shock features from background vibrations. A novel physics-guided gating mechanism is embedded within the network architecture to regulate feature activation. This mechanism is trained using an asymmetric sparse physics loss, which combines L1 regularization with adaptive spectral consistency constraints to enforce noise suppression on flat roads while ensuring sensitivity to impacts. Extensive validation was conducted using high-fidelity heavy truck simulations and the public PVS 9 real-world dataset. The results confirm that the PI-GCNN achieves a predictive phase lead of approximately 100–200 ms over real-time baselines, creating a valuable actuation window for suspension dampers. Furthermore, the model demonstrates exceptional computational efficiency, with a parameter count of 0.10 M and a single-frame inference latency of 0.25 ms, making it highly suitable for deployment on resource-constrained automotive edge computing platforms.

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Cite This Study

Cheng et al. (2026) studied this question.

synapsesocial.com/papers/69ada962bc08abd80d5bcadfhttps://doi.org/10.3390/s26051695
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