In this paper, we address a design problem of a community energy management system including power consumers. The behavior of the control system including consumers is inevitably affected by their decisions. We aim to construct a stable control system that is consistent with consumers' 'preferences.' To this end, the preferences are described as cost functions to formulate the problem of the control system design. In general, the assumption that the cost functions of all consumers are available for the design is too severe for practical systems. In this paper, we find a special class of the cost functions to propose a preference-independent design of the system. Finally, we confirm the usefulness of the proposed system through numerical simulation.