A tracking problem for the state of charge in an electrochemical Li-ion battery model

Abstract

<p style='text-indent:20px;'>In this paper the Single Particle Model is used to describe the behavior of a Li-ion battery. The main goal is to design a feedback input current in order to regulate the State of Charge (SOC) to a prescribed reference trajectory. In order to do that, we use the boundary ion concentration as output. First, we measure it directly and then we assume the existence of an appropriate estimator, which has been established in the literature using voltage measurements. By applying backstepping and Lyapunov tools, we are able to build observers and to design output feedback controllers giving a positive answer to the SOC tracking problem. We provide convergence proofs and perform some numerical simulations to illustrate our theoretical results.</p>

Effective estimation of the state-of-charge of latent heat thermal energy storage for heating and cooling systems using non-linear state observers

“…Thus, it can estimate the temperature gradient in a PCM using only the input and output temperature and flow rate measurements of the HTF circulated through the storage unit. The use of observers has been analysed mainly for electrical energy storage systems [37][38][39], with limited application in thermal stores. Ref.…”