Distributed differential games for control of multi-agent systems
File(s)
Accepted version
Author(s)
Cappello, Domenico
Mylvaganam, Thulasi
Type
Journal Article
Abstract
Motivated by the challenges arising in the
field of multi-agent systems (MAS) control, we consider linear heterogenous 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 statefeedback 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 decentralised 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 synchronisation problem associated
with the design of a distributed secondary voltage controller for microgrids and on a numerical example.
field of multi-agent systems (MAS) control, we consider linear heterogenous 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 statefeedback 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 decentralised 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 synchronisation problem associated
with the design of a distributed secondary voltage controller for microgrids and on a numerical example.
Date Acceptance
2021-09-13
Citation
IEEE Transactions on Control of Network Systems, 9 (2)
ISSN
2325-5870
Publisher
Institute of Electrical and Electronics Engineers
Journal / Book Title
IEEE Transactions on Control of Network Systems
Volume
9
Issue
2
Copyright Statement
© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/9599467
Subjects
0102 Applied Mathematics
0805 Distributed Computing
0906 Electrical and Electronic Engineering
Publication Status
Published