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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the ergodic control of ensembles

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Author(s):
Fioravanti, Andre R. [1] ; Marecek, Jakub [2] ; Shorten, Robert N. [2, 3, 4] ; Souza, Matheus [1] ; Wirth, Fabian R. [5]
Total Authors: 5
Affiliation:
[1] Univ Estadual Campinas, Campinas, SP - Brazil
[2] IBM Res Ireland, Dublin - Ireland
[3] Univ Coll Dublin, Dublin - Ireland
[4] Imperial Coll London, South Kensington - England
[5] Univ Passau, Dynam Syst, Passau - Germany
Total Affiliations: 5
Document type: Journal article
Source: AUTOMATICA; v. 108, OCT 2019.
Web of Science Citations: 0
Abstract

Across smart-grid and smart-city application domains, there are many problems where an ensemble of agents is to be controlled such that both the aggregate behaviour and individual-level perception of the system's performance are acceptable. In many applications, traditional PI control is used to regulate aggregate ensemble performance. Our principal contribution in this note is to demonstrate that PI control may not be always suitable for this purpose, and in some situations may lead to a loss of ergodicity for closed-loop systems. Building on this observation, a theoretical framework is proposed to both analyse and design control systems for the regulation of large scale ensembles of agents with a probabilistic intent. Examples are given to illustrate our results. (C) 2019 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 18/04905-1 - Automatization of a Robotic Electric Vehicle with Electronic Differential
Grantee:André Ricardo Fioravanti
Support Opportunities: Regular Research Grants
FAPESP's process: 16/19504-7 - A Contribution to Sampled-Data and Switched Systems Control
Grantee:Matheus Souza
Support Opportunities: Regular Research Grants