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

Hongjie Li | Zendy

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

Author(s) -

Hongjie Li

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/672346

Subject(s) - mathematics , kronecker product , linear matrix inequality , control theory (sociology) , observer (physics) , matlab , type (biology) , stability (learning theory) , mathematical optimization , kronecker delta , computer science , control (management) , physics , quantum mechanics , artificial intelligence , machine learning , operating system , ecology , biology

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

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