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Intermittent control for demand‐side management of a class of networked smart grids

This work studies the demand-side management problem and intermittent control for a class of networked smart grids. Firstly, the networked smart grid is modelled into a special networked evolutionary game via the semi-tensor product of matrices. Secondly, to minimise the overall cost of all the communities and reduce the control execution time, intermittent control is designed for some communities, in which these players work as controllers at some special strategy profiles. By designing the intermittent open-loop control, a necessary and sufficient condition is provided to assure the stabilisation of the networked smart grid. Then, an intermittent state feedback control is designed, based on which, the smart grid can converge to the desired strategy profile globally. Algorithms that can compute the state feedback controllers are given. Finally, a numerical example is worked out to illustrate the effectiveness of the developed theoretical results.