Distributed Differential Games for Control of Multi-Agent Systems

Motivated by the challenges arising in the field of multi-agent system (MAS) control, we consider linear heterogeneous MAS subject to local communication and investigate the problem of designing distributed controllers for such systems. We provide a game theoretic framework for systematically design...

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Bibliographic Details
Published in:IEEE transactions on control of network systems Vol. 9; no. 2; pp. 635 - 646
Main Authors: Cappello, Domenico, Mylvaganam, Thulasi
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Control systems
Control theory
Decentralized control
Differential games
Distributed algorithms/control
Distributed generation
Feedback control
Game theory
Games
Multi-agent systems
multi-agent systems (MAS)
Multiagent systems
networks of autonomous agents
Stability
State feedback
Symmetric matrices
Synchronism
Topology
Voltage controllers
ISSN:2325-5870, 2372-2533
Online Access:Get full text
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Summary:Motivated by the challenges arising in the field of multi-agent system (MAS) control, we consider linear heterogeneous MAS subject to local communication and investigate the problem of designing distributed controllers for such systems. We provide a game theoretic framework for systematically designing distributed controllers, taking into account individual objectives of the agents and their possibly incomplete knowledge of the MAS. Linear state-feedback control laws are obtained via the introduction of a distributed differential game , namely, the combination of local non-cooperative differential games , which are solved in a decentralized fashion. Conditions for stability of the MAS are provided for the special cases of acyclic and strongly connected communication graph topologies. These results are then exploited to provide stability conditions for general graph topologies. The proposed framework is demonstrated on a tracking synchronization problem associated with the design of a distributed secondary voltage controller for microgrids and on a numerical example.
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ISSN:2325-5870
2372-2533
DOI:10.1109/TCNS.2021.3124170