A novel approach for state of charge estimation based on adaptive switching gain sliding mode observer in electric vehicles

• State equations are derived from the battery equivalent circuit model.
• An adaptive switching gain sliding mode observer for state of charge estimation is purposed.
• The new observer minimises the chattering and improves the estimation accuracy.
• The experimental results of a lithium-polymer battery verify the effectiveness of the purposed observer.

In this paper, a novel approach for battery state of charge (SOC) estimation in electric vehicles (EVs) based on an adaptive switching gain sliding mode observer (ASGSMO) has been presented. To design the ASGSMO for the SOC estimation, the state equations based on a battery equivalent circuit model (BECM) are derived to represent dynamic behaviours of a battery. Comparing with a conventional sliding mode observer, the ASGSMO has a capability of minimising chattering levels in the SOC estimation by using the self-adjusted switching gain while maintaining the characteristics of being able to compensate modelling errors caused by the parameter variations of the BECM. Lyapunov stability theory is adopted to prove the error convergence of the ASGSMO for the SOC estimation. The lithium-polymer battery (LiPB) is utilised to conduct experiments for determining the parameters of the BECM and verifying the effectiveness of the proposed ASGSMO in various discharge current profiles including EV driving conditions in both city and suburban.