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Cooperative tracking control for general linear multiagent systems with directed intermittent communications: An artificial delay approach
Author(s) -
Cui Bing,
Xia Yuanqing,
Liu Kun,
Zhang Jinhui
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4540
Subject(s) - control theory (sociology) , multi agent system , computer science , convergence (economics) , tracking error , consensus , rate of convergence , graph , directed graph , mathematical optimization , control (management) , mathematics , key (lock) , algorithm , artificial intelligence , theoretical computer science , computer security , economics , economic growth
Summary This paper investigates the consensus tracking problem for general linear multiagent systems on directed graph containing a spanning tree. For the considered linear systems, the consensus tracking aim cannot be achieved by using only memoryless static relative output feedbacks. Of particular interest is that both current and delayed relative output information of agents are required to achieve consensus. For the case of continuous communication among agents, an artificial delay output feedback control method is proposed. By utilizing the Taylor representation for the delayed signal with the remainder in the integral form, a delay‐dependent sufficient condition is presented to guarantee the exponential convergence of the global tracking error systems. For the intermittent case, the consensus tracking performance can still be guaranteed based on a multiple graph‐dependent Lyapunov functionals method. It is theoretically revealed that the time delay plays a key role in the exponential convergence of the closed‐loop systems, and the definite relationships among the time delay, network structure, communication rate, and consensus convergence rate are also provided. The effectiveness of the proposed control scheme is confirmed by numerical simulations.