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Consensus Problem with a Reference State for Fractional‐Order Multi‐Agent Systems
Author(s) -
Bai Jing,
Wen Guoguang,
Rahmani Ahmed,
Yu Yongguang
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1427
Subject(s) - convergence (economics) , multi agent system , consensus , graph , directed graph , tracking error , control theory (sociology) , state (computer science) , computer science , mathematics , graph theory , function (biology) , control (management) , mathematical optimization , algorithm , theoretical computer science , artificial intelligence , combinatorics , evolutionary biology , economics , biology , economic growth
In this paper, the consensus problem of fractional‐order multi‐agent systems with a reference state is studied under fixed directed communication graph. At the beginning, the convergence speeds of fractional‐order multi‐agent systems are investigated based on the Mittag‐Leffler function. Then, a common consensus control law and a consensus control law based on error predictor are proposed, and it is shown that the consensus tracking can be achieved using the above control laws when a communication graph has a directed spanning tree. Finally, the convergence speeds of fractional‐order systems are compared, and it is discovered that the convergence of systems is faster using the control law based on error predictor than using the common one.