Sampled-Data-Based Descriptor Observer Design with Aperiodic Measurements for Lithium-Ion Batteries in Hybrid Electric Vehicles

The state-of-charge information of lithium-ion batteries plays an important role in the performance of hybrid electric vehicles. Moreover, with the development of digital technologies, systems are implemented on digital platforms. In this paper, we address to sampled-data descriptor observer designing to state estimation for lithium-ion battery in hybrid electric vehicles used to estimate its state-of-charge. To this end, first, a descriptor time-delay model with time-varying delay is provided for the dynamics of error estimation. Then based on this model, the theory of descriptor systems, and the Lyapunov-Krasovskii function, sufficient conditions are extracted to guarantee the exponential stability of error dynamics. At the same time, the matrix of the observer is designed in terms of linear matrix inequalities (LMIs) solvable by MA TLAB software. Finally, the efficiency of the proposed observer is illustrated by computer simulation.