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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| Published in: | IEEE transactions on control of network systems Vol. 9; no. 2; pp. 635 - 646 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Piscataway
IEEE
01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 2325-5870, 2372-2533 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Mylvaganam, Thulasi Cappello, Domenico |
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| SubjectTerms | 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 |
| Title | Distributed Differential Games for Control of Multi-Agent Systems |
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