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Title: Diffusion-driven hybrid unknown input observer for vehicle dynamics estimation
Authors: Tian, C 
Nguyen, AT
Chung, E 
Huang, H 
Issue Date: Apr-2026
Source: IEEE transactions on industrial electronics, Apr. 2026, v. 73, no. 4, p. 6097-6110
Abstract: Vehicle sideslip angle (or lateral speed) and steering angle are essential variables for autonomous vehicle control and active safety systems. Existing estimation methods often depend on deterministic models or neural networks for mapping, which restricts their ability to capture vehicle dynamics distributions in complex driving conditions. This study introduces a diffusion-driven hybrid estimation framework to achieve real-time estimation of lateral speed and steering angle. The nonlinear vehicle dynamics model is represented as a linear parameter-varying (LPV) model. A score-based diffusion model is embedded into an LPV unknown input observer (UIO) to capture the multimodal distribution of dynamics modeling uncertainty under different state-space model (SSM) parameters without retraining. The model uncertainty prediction sequences from the diffusion model are asynchronously generated to ensure real-time performance. Furthermore, we construct an end-to-end-based hybrid observer incorporating a fully connected neural network as an expert model to identify model uncertainty for diffusion model training. Based on Lyapunov stability theory, the ℓ∞ gain performance can be guaranteed to minimize the impacts of uncertainty approximation errors and improve the estimation quality. Experimental results obtained from a real-world test track demonstrate the consistent effectiveness of the proposed framework across various driving scenarios and different SSM parameters, especially in extreme driving scenarios outside the training data distribution.
Keywords: Diffusion model
Nonlinear observers
Sideslip angle estimation
Steering angle estimation
Vehicle dynamics
Vehicle state estimation
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on industrial electronics 
ISSN: 0278-0046
EISSN: 1557-9948
DOI: 10.1109/TIE.2025.3626623
Rights: © 2025 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
The following publication C. Tian, A. -T. Nguyen, E. Chung and H. Huang, "Diffusion-Driven Hybrid Unknown Input Observer for Vehicle Dynamics Estimation," in IEEE Transactions on Industrial Electronics, vol. 73, no. 4, pp. 6097-6110, April 2026 is available at https://doi.org/10.1109/TIE.2025.3626623.
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