New Optimal Control Algorithms for Battery-Supercapacitor HESS Based on Wirtinger-Based Integral Inequality

This paper focuses on the design of new optimal control algorithms for battery-supercapacitor hybrid energy storage system (HESS) with input saturation and time delay. Different from existing research results, a state feedback to track output DC bus voltage battery current is developed via state-space averaged model method. By fully considering delay information, proper Lyapunov-Krasovskii functional (LKF) constructed. In order reduce inherent conservation, Wirtinger-based integral inequality firstly employed establish novel stability criteria HESS. Meanwhile, sake shortening transition realizing smooth some key variables during load switch, actuator can be achieved in terms linear matrix inequalities (LMIs). Finally, numerical results are presented verify effectiveness superiority analysis results.