Abstarct: The growing concern over oil shortage and environment is sues has greathy accelerated the development of alternative power and energy solutions to displace fossil fuel in recent years.among the various choices of energy storage technologies,it is well recognized that battery systems can offter a number of high-value opportunities given their advantages in portability and energy efficiency,particularly for mobile applications like robot.given the fact that batteries have been used to power an increasingly diverse range of applications,from cell phones to electric avehicles,robot and et cetera,more reliable and efficient battery management systems(BMSs) need to be developed. Open-circuit-voltage (OCV) data is widely used for characterizing battery properties under different conditions.it contains important information that can help to identify battery state-of –charrge and state-of-health. While various ocv models have been developed for battery soc estimation,few have been designed for SOH monitoring.we propose a unified ocv model that can be applied for both soc estimation using the new model campared to other existing models are demonstrated.Moreover, it is shown that the proposed ocv model can be used to perform battery SOH monitoring as it effectively captures aging information baxsed on incremental capacity analysis (ICA) parametric analysis and model complexity redurn are also addressed Experimental data is used to illustrate the effectiveness of the model and its simplified version in the application context of soc estimation and SOH monitoring.also to study state-of-charge estimation baxsed on extended kalman filter for robot battery and shown is similar result too .