Energy sharing and frequency regulation in energy network via mixed H2/H∞ control with Markovian jump

In this paper, the problem of mixed optimization for energy sharing and frequency regulation in a typical energy network scenario where energy routers (ERs) interconnected AC microgrids (MGs) is investigated. Continuous-time Markov chains are introduced to describe the switching paths in the power dynamics of MGs. Such that the modelling of considered energy network system could be closer to the real-world engineering practice. Advanced parameter estimation techniques are integrated into the proposed method to achieve better modelling accuracy and controlling performance. Based on the parameters of MG power dynamics, the mixed H 2 /H ∞ controllers are obtained via stochastic control theory. The feasibility and efficacy of the proposed approach are evaluated in numerical examples.