Bipartite Average Tracking for Multi-Agent Systems With Disturbances: Finite-Time and Fixed-Time Convergence

This paper addresses the finite-time and fixed-time bipartite average tracking (BAT) problems in multi-agent systems (MASs) subject to bounded disturbances. A novel non-smooth protocol is first constructed on the basis of utilizing the finite-time control method, which can realize the finite-time BA...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 68; no. 10; pp. 4393 - 4402
Main Authors Han, Tao, Guan, Zhi-Hong, Xiao, Bo, Yan, Huaicheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
bipartite average tracking (BAT)
Control methods
Convergence
Disturbances
Finite-time
fixed-time
Heuristic algorithms
multi-agent systems (MASs)
Multiagent systems
Observers
Protocols
Stability analysis
Stability criteria
Switches
Topology
Tracking
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Summary:This paper addresses the finite-time and fixed-time bipartite average tracking (BAT) problems in multi-agent systems (MASs) subject to bounded disturbances. A novel non-smooth protocol is first constructed on the basis of utilizing the finite-time control method, which can realize the finite-time BAT with structurally balanced graph. Then, the fixed-time BAT problem is dealt with nonlinear fixed-time algorithm, the setting time of which is obtained without depending on initial states. By employing Lyapunov stability theory, some sufficient criteria are obtained to achieve the finite-time and fixed-time BAT for MASs with disturbances. Numerical examples are finally developed for illustration.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2021.3104933