Real-time joint energy storage management and load scheduling with renewable integration

We consider joint design of energy storage management and load scheduling with integrated renewable energy. We aim at optimizing the energy flows and load scheduling simultaneously in order to minimize the overall system cost over a finite time horizon. Our model incorporates battery operational costs and assumes unknown arbitrary dynamics of renewable source, load, and pricing information. Loads are modeled by individual tasks with their own intensities, requested service durations, and maximum and average delay constraints. We use a sequence of problem modification and transformation and employ Lyapunov optimization technique to design the real-time joint control and scheduling policy. Our policy provides an closed-form solution for load scheduling and storage energy management. We show that our proposed algorithm guarantees a bounded performance from an optimal non-causal T-slot look-ahead control policy.