Game-Theoretic Demand-Side Management and Robust Optimal Control for a Class of Networked Smart Grid

In this paper, a robust optimal control algorithm is proposed for the demand-side management of a class of smart grid in case of the uncertainties which are due to fake information of grid users. By using matrix semi-tensor product, the smart grid under consideration is modeled into networked evolutionary game. In the proposed method, the robust closed-loop control by using stacked structural matrix is upgraded with dynamic programming, such that the transient performance of the network can be improved in the presence of uncertainties. The feasibility of the method is proved and supported by a numerical example.