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State Consensus Analysis and Design for High-Order Discrete-Time Linear Multiagent Systems
Joint Authors
Ge, Yanrong
Chen, Yangzhou
Zhang, Yaxiao
He, Zhonghe
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The paper deals with the state consensus problem of high-order discrete-time linear multiagent systems (DLMASs) with fixed information topologies.
We consider three aspects of the consensus analysis and design problem: (1) the convergence criteria of global state consensus, (2) the calculation of the state consensus function, and (3) the determination of the weighted matrix and the feedback gain matrix in the consensus protocol.
We solve the consensus problem by proposing a linear transformation to translate it into a partial stability problem.
Based on the approach, we obtain necessary and sufficient criteria in terms of Schur stability of matrices and present an analytical expression of the state consensus function.
We also propose a design process to determine the feedback gain matrix in the consensus protocol.
Finally, we extend the state consensus to the formation control.
The results are explained by several numerical examples.
American Psychological Association (APA)
Ge, Yanrong& Chen, Yangzhou& Zhang, Yaxiao& He, Zhonghe. 2013. State Consensus Analysis and Design for High-Order Discrete-Time Linear Multiagent Systems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1008651
Modern Language Association (MLA)
Ge, Yanrong…[et al.]. State Consensus Analysis and Design for High-Order Discrete-Time Linear Multiagent Systems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1008651
American Medical Association (AMA)
Ge, Yanrong& Chen, Yangzhou& Zhang, Yaxiao& He, Zhonghe. State Consensus Analysis and Design for High-Order Discrete-Time Linear Multiagent Systems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1008651
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008651