Abstract |
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In this paper, a feasibility solution set to a continuous time non-linear control problem is developed. The unique differential state equation contains a state-dependent time delay. The context in which such system appears is real-time electric power consumption management of a large group of electric appliances. In particular, energy consumption of the group is shifted in time in order to deliver flexibility services (e.g., ancillary services, primary frequency control). The objective of the paper is to study the proposed equation system. Developments prove feasibility and stability of some control actions. An acceptable range of reference signals is defined, that the output of the system would be able to follow in a signal tracking framework. |