Lyapunov Based Control of Battery-UC Hybrid Energy Storage System for Plug in Hybrid Electric Vehicles

Abstract

Plugin hybrid electric vehicles (PHEVs) are a suitable choice, to achieve enhanced performance and reduced toxic gases. The considered PHEV model consists of an integrated charging unit and a hybrid energy storage system (HESS). The proposed HESS comprises of a battery with high energy density and a supercapacitor with high power density coupled together to fulfill the load demands of the vehicle. For on-board and balanced charging a DC-DC buck converter with an uncontrolled rectifier has been used. Similarly, two converters named as DC-DC buck-boost is incorporated to ensure a smooth transition of energy. A rule-based algorithm termed as supervisory control has been employed by incorporating total power inflow and state of charge of the power sources to fulfill the load demands. Moreover, a robust integral backstepping based nonlinear controller has been proposed for the smooth execution and energy management of PHEV. They have been proposed to achieve the design objectives in terms of output voltage regulation, reference generation, and smooth tracking of current. Lyapunov stability theory has been used to ensure the asymptotic stability of the PHEV. The performance of the proposed controller for this system has been validated by comparing it with the Lyapunov redesign and backstepping controllers already proposed in the literature, and has been simulated on MATLAB/Simulink. The robustness of the proposed controller has been verified by introducing uncertainty in the state model. Finally, the real-time applicability and effectiveness of the proposed work has been ensured using controller hardware in the loop (C-HIL) test bench.