# Online Parameter Estimation using Physics-Informed Deep Learning for Vehicle Stability Algorithms

## TL;DR

This paper introduces a physics-informed deep learning method for rapid online estimation of vehicle cornering stiffness, enhancing vehicle stability control by enabling real-time parameter updates with small data sets.

## Contribution

The paper presents a novel physics-informed deep learning approach for real-time vehicle parameter estimation, outperforming traditional methods in speed and data efficiency.

## Key findings

- High fidelity estimations with small data sets
- Improved yaw rate tracking performance
- Effective in simulations and real vehicle experiments

## Abstract

Physics-informed deep learning is a popular trend in the modeling and control of dynamical systems. This paper presents a novel method for rapid online identification of vehicle cornering stiffness coefficient, a crucial parameter in vehicle stability control models and control algorithms. The new method enables designers to rapidly identify the vehicle front and rear cornering stiffness parameters so that the controller reference gains can be re-adjusted under varying road and vehicle conditions to improve the reference tracking performance of the control system during operation. The proposed method based on vehicle model-based deep learning is compared to other alternatives such as traditional neural network training and identification, and Pacejka model estimation with regression. Our initial findings show that, in comparison to these classical methods, high fidelity estimations can be done with much smaller data sets simple enough to be obtained from a lane-changing or vehicle overtake maneuver. In order to conduct experiments, and collect sensor data, a custom-built 1:8 scaled test vehicle platform is used real-time wireless networking capabilities. The proposed method is applicable to predict derived vehicle parameters such as the understeering coefficient so it can be used in parallel with conventional MIMO controllers. Our $H_{\infty}$ yaw rate regulation controller test results show that the reference gains updated with the proposed online estimation method improve the tracking performance in both simulations and vehicle experiments.