Parameter validation to ascertain voltage of Li-ion battery through adaptive control

Abstract

The objective of this paper is to ascertain the open- circuit voltage of a Lithium-ion battery in the presence of an uncertain parameter. The parameter relating to the state of charge (SoC) and open-circuit voltage are considered. An adaptive control law is developed to compensate for the uncertain parameter by considering its possible range of variation and estimating that parameter. Lyapunov stability analysis is carried out to ensure asymptotic stability and signal boundedness of the states associated with the system. The effectiveness of the methodology employed is verified by studying the dynamics of the battery in charging and discharging modes of operation. The robustness of the proposed adaptive controller is validated by considering the change in uncertain parameter to ensure asymptotic tracking.