Direct Continuous-Time LPV System Identification of Li-ion Batteries via L1-Regularized Least Squares

Fuente: arXiv
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Autores principales: Wang, Yang, Ferrari, Riccardo M. G.
Formato: Preprint
Publicado: 2025
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author Wang, Yang
Ferrari, Riccardo M. G.
author_facet Wang, Yang
Ferrari, Riccardo M. G.
contents Accurate identification of lithium-ion battery parameters is essential for estimating battery states and managing performance. However, the variation of battery parameters over the state of charge (SOC) and the nonlinear dependence of the open-circuit voltage (OCV) on the SOC complicate the identification process. In this work, we develop a continuous-time LPV system identification approach to identify the SOC-dependent battery parameters and the OCV-SOC mapping. We model parameter variations using cubic B-splines to capture the piecewise nonlinearity of the variations and estimate signal derivatives via state variable filters, facilitating CT-LPV identification. Battery parameters and the OCV-SOC mapping are jointly identified by solving L1-regularized least squares problems. Numerical experiments on a simulated battery and real-life data demonstrate the effectiveness of the developed method in battery identification, presenting improved performance compared to conventional RLS-based methods.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21110
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Direct Continuous-Time LPV System Identification of Li-ion Batteries via L1-Regularized Least Squares
Wang, Yang
Ferrari, Riccardo M. G.
Systems and Control
Accurate identification of lithium-ion battery parameters is essential for estimating battery states and managing performance. However, the variation of battery parameters over the state of charge (SOC) and the nonlinear dependence of the open-circuit voltage (OCV) on the SOC complicate the identification process. In this work, we develop a continuous-time LPV system identification approach to identify the SOC-dependent battery parameters and the OCV-SOC mapping. We model parameter variations using cubic B-splines to capture the piecewise nonlinearity of the variations and estimate signal derivatives via state variable filters, facilitating CT-LPV identification. Battery parameters and the OCV-SOC mapping are jointly identified by solving L1-regularized least squares problems. Numerical experiments on a simulated battery and real-life data demonstrate the effectiveness of the developed method in battery identification, presenting improved performance compared to conventional RLS-based methods.
title Direct Continuous-Time LPV System Identification of Li-ion Batteries via L1-Regularized Least Squares
topic Systems and Control
url https://arxiv.org/abs/2509.21110