On Consensusability of Linear Interconnected Multiagent Systems and Simultaneous Stabilization

Consensusability of multiagent systems (MASs) certifies the existence of a distributed controller capable of driving the states of each subsystem to a consensus value. We study the consensusability of linear interconnected MASs (LIMASs), where, as in several real-world applications, subsystems are p...

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Bibliographic Details
Published in:IEEE transactions on control of network systems Vol. 9; no. 1; pp. 403 - 414
Main Authors: Turan, Mustafa Sahin, Xu, Liang, Ferrari-Trecate, Giancarlo
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Consensus
Couplings
cyber-physical systems
distributed algorithms/control
Distributed generation
Eigenvalues
Eigenvalues and eigenfunctions
Laplace equations
Linear systems
Microgrids
Multi-agent systems
Multiagent systems
networked control systems
Power system dynamics
stability
Subsystems
ISSN:2325-5870, 2372-2533
Online Access:Get full text
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Summary:Consensusability of multiagent systems (MASs) certifies the existence of a distributed controller capable of driving the states of each subsystem to a consensus value. We study the consensusability of linear interconnected MASs (LIMASs), where, as in several real-world applications, subsystems are physically coupled. We show that consensusability is related to the simultaneous stabilizability of multiple LTI systems, and present a novel sufficient condition in form of a linear program for verifying this property. We also derive several necessary and sufficient consensusability conditions for LIMASs in terms of parameters of the subsystem matrices and the eigenvalues of the physical and communication graph Laplacians. The results show that weak physical couplings among subsystems and densely connected physical and communication graphs are favorable for consensusability. Finally, we validate our results through simulations of networks of supercapacitors and dc microgrids.
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ISSN:2325-5870
2372-2533
DOI:10.1109/TCNS.2021.3106446