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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 672346, 18 pages
http://dx.doi.org/10.1155/2012/672346
Research Article

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

College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China

Received 7 May 2012; Revised 9 July 2012; Accepted 3 August 2012

Academic Editor: Bashir Ahmad

Copyright © 2012 Hongjie Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.