On the ergodic control of ensembles

被引：12

作者：

Fioravanti, Andre R. ^{[1
]}

Marecek, Jakub ^{[2
]}

Shorten, Robert N. ^{[2
,3
,4
]}

Souza, Matheus ^{[1
]}

Wirth, Fabian R. ^{[5
]}

机构：

[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

来源：

AUTOMATICA | 2019年 / 108卷

基金：

爱尔兰科学基金会; 巴西圣保罗研究基金会;

关键词：

Stochastic modelling; Stochastic control; Output regulation; PID control; Electric power systems; Transportation; ITERATED FUNCTION SYSTEMS; INVARIANT-MEASURES; TRANSPORTATION; THEOREM; DEMAND;

D O I：

10.1016/j.automatica.2019.06.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页数：11

共 46 条

[1] A closed-loop energy price controlling method for real-time energy balancing in a smart grid energy market [J].