State Estimation for the Individual and the Population in Mean Field Control with Application to Demand Dispatch

Yue Chen 1 Ana Busic 2, 3 Sean Meyn 1
2 DYOGENE - Dynamics of Geometric Networks
DI-ENS - Département d'informatique de l'École normale supérieure, ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : This paper concerns state estimation problems in a mean field control setting. In a finite population model, the goal is to estimate the joint distribution of the population state and the state of a typical individual. The observation equations are a noisy measurement of the population. The general results are applied to demand dispatch for regulation of the power grid, based on randomized local control algorithms. In prior work by the authors it has been shown that local control can be carefully designed so that the aggregate of loads behaves as a controllable resource with accuracy matching or exceeding traditional sources of frequency regulation. The operational cost is nearly zero in many cases. The information exchange between grid and load is minimal, but it is assumed in the overall control architecture that the aggregate power consumption of loads is available to the grid operator. It is shown that the Kalman filter can be constructed to reduce these communication requirements, and to provide the grid operator with accurate estimates of the mean and variance of quality of service (QoS) for an individual load.
Type de document :
Communication dans un congrès
54th IEEE Conference on Decision and Control , Dec 2015, Osaka, Japan. 2015, Proceedings of the 54th IEEE Conference on Decision and Control 〈http://www.cdc2015.ctrl.titech.ac.jp/index.php〉
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https://hal.inria.fr/hal-01251454
Contributeur : Ana Busic <>
Soumis le : mercredi 6 janvier 2016 - 11:34:19
Dernière modification le : mardi 17 avril 2018 - 11:27:33

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Yue Chen, Ana Busic, Sean Meyn. State Estimation for the Individual and the Population in Mean Field Control with Application to Demand Dispatch . 54th IEEE Conference on Decision and Control , Dec 2015, Osaka, Japan. 2015, Proceedings of the 54th IEEE Conference on Decision and Control 〈http://www.cdc2015.ctrl.titech.ac.jp/index.php〉. 〈hal-01251454〉

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