Advanced Tracking Strategies for Charging Electric Vehicle Batteries

Challenges and opportunities of integrating electric vehicles (EV) with an electric grid have been of great interest for the past few years. In order to integrate with an electric grid, a battery model of the EV should have adequate control mechanisms. In this paper, we consider a nonlinear model of a 2-RC battery. For optimal tracking of a reference terminal voltage, a closed-loop optimal control strategy is obtained by using the State-Dependent Riccati Equation (SDRE) technique with performance index to minimize the quadratic error between the reference and actual trajectories. Simulation results with a lithium-ion (li-ion) battery shows good tracking performance.

[1]  Sudipta Paul,et al.  A Simplified SDRE Technique for Regulation in Optimal Control Systems , 2019, 2019 IEEE International Conference on Electro Information Technology (EIT).

[2]  A. Barraud A new numerical solution of Ẋ = A_{1}X + XA_{2} + D, X(0) = C , 1977 .

[3]  Ahmed Khamis,et al.  Nonlinear Optimal Tracking Using Finite-Horizon State Dependent Riccati Equation ( SDRE ) , 2013 .

[4]  Reza Babazadeh,et al.  Nonlinear Observer Design for RC Battery Model for Estimating State of Charge & State of Health Based on State-Dependent Riccati Equation , 2018, 2018 IEEE Electrical Power and Energy Conference (EPEC).

[5]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification , 2004 .

[6]  Zhile Yang,et al.  Battery modelling methods for electric vehicles - A review , 2014, 2014 European Control Conference (ECC).

[7]  P. Zumel,et al.  A comparative study and parameterization of electrical battery models applied to hybrid electric vehicles , 2016, 2016 International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles & International Transportation Electrification Conference (ESARS-ITEC).

[8]  Sandra Castano,et al.  Dynamical modeling procedure of a Li-ion battery pack suitable for real-time applications , 2015 .

[9]  M. T. Qureshi,et al.  Lyapunov Matrix Equation in System Stability and Control , 2008 .

[10]  D. Subbaram Naidu,et al.  Nonlinear optimal control of wind energy conversion systems with incomplete state information using SD-DRE , 2016, 2016 International Conference on Control, Decision and Information Technologies (CoDIT).

[11]  A. G. Butkovskiy,et al.  Optimal control of systems , 1966 .

[12]  B. Vural,et al.  A dynamic lithium-ion battery model considering the effects of temperature and capacity fading , 2009, 2009 International Conference on Clean Electrical Power.

[13]  Anand Narayan State and Parametric Estimation of Li-Ion Batteries in Electrified Vehicles , 2017 .

[14]  Ibrahim Baz Khallouf,et al.  Advanced Control Strategies for the Robotic Hand , 2018, 2018 IEEE 14th International Conference on Control and Automation (ICCA).

[15]  Miguel Rodríguez Asensio Modelling and State Estimation of Batteries , 2016 .