Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems

Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems

This paper investigates the consensus problem for a class of fractional-order uncertain multiagent systems with general linear node dynamics. Firstly, an observer-type consensus protocol is proposed based on the relative observer states of neighboring agents. Secondly, based on property of the Krone...

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Main Author: Hongjie Li
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/672346
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spelling doaj-47977c9d5640410b9af3663c6b442da02020-11-24T20:43:30ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/672346672346Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent SystemsHongjie Li0College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaThis paper investigates the consensus problem for a class of fractional-order uncertain multiagent systems with general linear node dynamics. Firstly, an observer-type consensus protocol is proposed based on the relative observer states of neighboring agents. Secondly, based on property of the Kronecker product and stability theory of fractional-order system, some sufficient conditions are presented for robust asymptotical stability of the observer-based fractional-order control systems. Thirdly, robust stabilizing controllers are derived by using linear matrix inequality approach and matrix’s singular value decomposition. Our results are in the form of linear matrix inequalities which can easily be solved by LMI toolbox in MATLAB. Finally, a numerical simulation is performed to show the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2012/672346
collection DOAJ
language English
format Article
sources DOAJ
author Hongjie Li
spellingShingle Hongjie Li
Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
Abstract and Applied Analysis
author_facet Hongjie Li
author_sort Hongjie Li
title Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
title_short Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
title_full Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
title_fullStr Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
title_full_unstemmed Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems
title_sort observer-type consensus protocol for a class of fractional-order uncertain multiagent systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description This paper investigates the consensus problem for a class of fractional-order uncertain multiagent systems with general linear node dynamics. Firstly, an observer-type consensus protocol is proposed based on the relative observer states of neighboring agents. Secondly, based on property of the Kronecker product and stability theory of fractional-order system, some sufficient conditions are presented for robust asymptotical stability of the observer-based fractional-order control systems. Thirdly, robust stabilizing controllers are derived by using linear matrix inequality approach and matrix’s singular value decomposition. Our results are in the form of linear matrix inequalities which can easily be solved by LMI toolbox in MATLAB. Finally, a numerical simulation is performed to show the effectiveness of the theoretical results.
url http://dx.doi.org/10.1155/2012/672346
work_keys_str_mv AT hongjieli observertypeconsensusprotocolforaclassoffractionalorderuncertainmultiagentsystems
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