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Hybrid vehicle state estimation using closed-form liquid neural networks and nonlinear Kalman filtering
Yang Xu1, Chao Wei2, Jibin Hu2
1School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 100081, China; School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore, 639798, Singapore.
ISA Transactions
|July 4, 2026
Summary
This study introduces a hybrid framework for accurate vehicle state estimation, integrating deep learning with enhanced Kalman filtering. It improves robustness against sensor noise for safer autonomous driving.
Area of Science:
- Robotics and Control Systems
- Artificial Intelligence and Machine Learning
- Automotive Engineering
Background:
- Accurate vehicle dynamic state estimation is vital for advanced driver-assistance systems and autonomous driving.
- Direct measurement of critical states like sideslip angle is challenging due to sensor limitations and noise.
Purpose of the Study:
- To propose a novel hybrid framework for robust vehicle state estimation.
- To enhance the accuracy and reliability of estimating vehicle states, particularly sideslip angle, under adverse conditions.
Main Methods:
- Integration of closed-form continuous-time (CfC) networks with an enhanced unscented Kalman filter (UKF).
- Utilizing CfC networks for sequential IMU and GPS data processing to predict states and uncertainties.
- Incorporating CfC predictions as pseudo-measurements in the UKF with uncertainty-based measurement covariance.
- Developing a data-driven sigma points sampling strategy for improved observation distribution approximation.
Main Results:
- The hybrid framework demonstrated superior accuracy and robustness compared to baseline methods on both simulated (KITTI, Carsim) and real-world data.
- The proposed method effectively handles unknown noise, improving vehicle state estimation reliability.
- Validation through extensive experiments confirms the framework's effectiveness.
Conclusions:
- The hybrid CfC-UKF framework offers a significant advancement in vehicle state estimation.
- This approach enhances the safety and performance of autonomous driving systems by providing reliable state predictions.
- The open-source code facilitates further research and development in the field.
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