Internal Temperature Estimation of Pouch-Type Lithium-Ion Battery by a 2-D Semilinear PDE Model With Space-Dependent Diffusivity
提出一种使用二维半线性偏微分方程模型估计袋式锂离子电池内部温度的策略，考虑空间依赖扩散系数和域内不确定性，设计了Luenberger型观测器并证明了误差系统的指数稳定性，对不确定情况开发了鲁棒估计方法。
This article aims to propose an internal temperature estimation strategy for pouch-type lithium-ion battery using a 2-D semilinear partial differential equation (PDE) model with space-dependent diffusivity and in-domain uncertainty. The distributed linear measurements are considered, where only limited linear information is measured. Initially, we divide the interested domain into several subdomains based on the number of sensors. A Luenberger-type PDE observer is then designed for battery internal temperature estimation by the uncertainty-free plant model, and the exponential stability of corresponding estimation error system is established via the Lyapunov functional method and linear matrix inequalities (LMIs). Moreover, when in-domain uncertainty is presented, a robust internal temperature estimation strategy is developed to ensure that the corresponding uncertain observer error systems are input-to-state stable (ISS). Simulation results are finally provided to verify the effectiveness of the proposed methods.