A Robust $\mathcal{L}_{2}-\mathcal{L}_{\infty}$ Filter Design for State of Charge Estimation of Li-Ion Battery with Time-varying Parameters: Application to Electric Vehicles

This paper presents a novel state of charge (SOC) estimation filter criteria for the lithium-ion battery (LIB) dynamics with time varying parameters using
$\mathcal{L}_{2}-\mathcal{L}_{\infty}$
approach. By utilizing a Lyapunov-Krasovskii Functional (LKF) approach and Linear Matrix Inequality (LMI) technique, a new robust
$\mathcal{L}_{2}-\mathcal{L}_{\infty}$
filter algorithm has been exploited for the feasibility of LIBs, which optimize the performance of the battery dynamics. Finally, a simulation example is presented to show the effectiveness and benefits of the developed filtering design approach.