Abstract
This paper addresses the sampling effect problem in the microgrids consisted of multiple agents; easy example is the distributed generator. We would like to pay attention to the secondary control problem of the microgrids. Inhere, the sampling effect will be analyzed as the main constraint among multiple distributed generators in the microgrids. To do this, the proposed secondary control scheme for the microgrids is modeled by employing a directed graph structure because the microgrids were based on the network communicated through one-way links. By constructing suitable Lyapunov–Krasovskii functional and using some mathematical theory, a sufficient control condition, which is formulated to the consensus protocol form, for the target problem will be derived in terms of LMI. Finally, the simulation example is illustrated to bring the necessity of the analysis of the sampling effect out in operation of the microgrids.
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