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Consensus Control of Fractional‐Order Systems Based on Delayed State Fractional Order Derivative
Author(s) -
Liu Xueliang,
Zhang Zhi,
Liu Huazhu
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.1493
Subject(s) - correctness , robustness (evolution) , control theory (sociology) , algebraic graph theory , fractional calculus , computer science , frequency domain , algebraic number , mathematics , order (exchange) , multi agent system , algorithm , control (management) , mathematical analysis , biochemistry , chemistry , finance , artificial intelligence , economics , gene
In this paper, the delayed state fractional order derivative (DSFOD) is introduced into the existing traditional consensus protocol aiming to improve the robustness of fractional‐order multi‐agent systems against communication time delay. Both of communication channels with time‐delay and without time‐delay cases are considered. Based on the frequency‐domain analysis and algebraic graph theory, it is shown that properly choosing the intensity of DSFOD can improve the robustness of fractional‐order multi‐agent systems against communication delay. Finally, a simulated example with simulations is presented to confirm the correctness and effectiveness of the theoretical results.