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

被引：8
|
作者：
Li, Hongjie [1 ]
机构：
[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Hangzhou 314001, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
美国国家科学基金会;
关键词：
LINEAR-SYSTEMS; ROBUST-CONTROL; NETWORKS; SYNCHRONIZATION; STABILITY;
D O I：
10.1155/2012/672346
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页数：18
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