H Optimal Coordination of Homogeneous Agents Subject to Limited Information Exchange

Controllers with a diagonal-plus-low-rank structure constitute a scalable class of controllers for multi-agent systems. Previous research has shown that diagonal-plus-low-rank control laws appear as the optimal solution to a class of multi-agent H 2 coordination problems, which arise in the control...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 62; no. 3; pp. 1424 - 1430
Main Authors Madjidian, Daria, Mirkin, Leonid, Rantzer, Anders
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2017
Subjects
Dead-time compensation
Decentralized control
distributed control
Electronic mail
Information exchange
Optimal control
Periodic structures
sampled-data systems
Scalability
time-delay systems
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Summary:Controllers with a diagonal-plus-low-rank structure constitute a scalable class of controllers for multi-agent systems. Previous research has shown that diagonal-plus-low-rank control laws appear as the optimal solution to a class of multi-agent H 2 coordination problems, which arise in the control of wind farms. In this technical note we show that this result extends to the case where the information exchange between agents is subject to limitations. We also show that the computational effort required to obtain the optimal controller is independent of the number of agents and provide analytical expressions that quantify the usefulness of information exchange.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2571782