Adaptive gain sliding mode observer for state of charge estimation based on combined battery equivalent circuit model

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

An adaptive gain sliding mode observer (AGSMO) for battery state of charge (SOC) estimation based on a combined battery equivalent circuit model (CBECM) is presented. The error convergence of the AGSMO for the SOC estimation is proved by Lyapunov stability theory. Comparing with conventional sliding mode observers for the SOC estimation, the AGSMO can minimise chattering levels and improve the accuracy by adaptively adjusting switching gains to compensate modelling errors. To design the AGSMO for the SOC estimation, the state equations of the CBECM are derived to capture dynamics of a battery. A lithium-polymer battery (LiPB) is used to conduct experiments for extracting parameters of the CBECM and verifying the effectiveness of the proposed AGSMO for the SOC estimation.