Necessary and Sufficient Consensus Conditions of Descriptor Multi-agent Systems

For descriptor multi-agent systems with fixed topology and agents described by general descriptor linear time-invariant systems, necessary and sufficient conditions of consensusability with respect to a set of admissible consensus protocols are proposed using the tools of algebra, graph and descript...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2012-11, Vol.59 (11), p.2669-2677
Main Authors: Yang, Xin-Rong, Liu, Guo-Ping
Format: Article
Language:English
Subjects:
Consensus
descriptor multi-agent systems
Eigenvalues and eigenfunctions
Linear systems
Manipulators
Multiagent systems
output feedback
Protocols
Topology
Vectors
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Summary:For descriptor multi-agent systems with fixed topology and agents described by general descriptor linear time-invariant systems, necessary and sufficient conditions of consensusability with respect to a set of admissible consensus protocols are proposed using the tools of algebra, graph and descriptor linear system theory. The consensusability conditions depend on both the structure properties of each agent's dynamics and the topology within the descriptor multi-agent systems. Designing an output feedback control law can guarantee that the studied descriptor multi-agent system is consensusable with respect to a given admissible set. A provided example indicates the applicability of the proposed approach.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2012.2190663