This paper is devoted to a consumer-preferred community-level energy management system (CEMS), in which a system manager allows consumers their selfish decisions of power-saving while regulating the overall demand-supply imbalance. The key structure of the system is to weakly control consumers: the controller sends the allowable range of the power-saving amount to each consumer, which is modeled by a set-valued control signal. Then, the consumers decide the amount in the range based on their private preference. In this paper, we address the design problem of the controller that generates the set-valued control signals. The controller structure is based on internal model control, which plays the essential role of guaranteeing the consumer-independent stability and the worst-case control performance of the overall CEMS. Finally, a numerical experiment of the consumer-preferred CEMS is performed to demonstrate the design procedure of the controller and to show its effectiveness.
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