Multibattery Optimal Coordination Control for Home Energy Management Systems via Distributed Iterative Adaptive Dynamic Programming

In this paper, a novel distributed iterative adaptive dynamic programming (ADP) method is developed to solve the multibattery optimal coordination control problems for home energy management systems. According to system transformations, the multi-input optimal control problem is transformed into a single-input optimal control problem, where all the batteries are implemented at their worst performance. Next, based on the worst-performance optimal control law, an effective distributed iterative ADP algorithm is developed, where, in each iteration, only a single-input optimization problem is implemented. Convergence properties of the distributed iterative ADP algorithm are developed to show that the iterative performance index function converges to the optimum. Finally, numerical analysis is given to illustrate the performance of the developed algorithm.