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Predefined-Time Consensus of Nonlinear First-Order Systems Using a Time Base Generator
Joint Authors
Becerra, Héctor M.
Vázquez, Carlos-Renato
Colunga, J. Armando
Gómez-Gutiérrez, David
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper proposes a couple of consensus algorithms for multiagent systems in which agents have first-order nonlinear dynamics, reaching the consensus state at a predefined time independently of the initial conditions.
The proposed consensus protocols are based on the so-called time base generators (TBGs), which are time-dependent functions used to build time-varying control laws.
Predefined-time convergence to the consensus is proved for connected undirected communication topologies and directed topologies having a spanning tree.
Furthermore, one of the proposed protocols is based on the super-twisting controller, providing robustness against disturbances while maintaining the predefined-time convergence property.
The performance of the proposed methods is illustrated in simulations, and it is compared with finite-time, fixed-time, and predefined-time consensus protocols.
It is shown that the proposed TBG protocols represent an advantage not only in the possibility to define a settling time but also in providing smoother and smaller control actions than existing finite-time, fixed-time, and predefined-time consensus.
American Psychological Association (APA)
Colunga, J. Armando& Vázquez, Carlos-Renato& Becerra, Héctor M.& Gómez-Gutiérrez, David. 2018. Predefined-Time Consensus of Nonlinear First-Order Systems Using a Time Base Generator. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1205968
Modern Language Association (MLA)
Colunga, J. Armando…[et al.]. Predefined-Time Consensus of Nonlinear First-Order Systems Using a Time Base Generator. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1205968
American Medical Association (AMA)
Colunga, J. Armando& Vázquez, Carlos-Renato& Becerra, Héctor M.& Gómez-Gutiérrez, David. Predefined-Time Consensus of Nonlinear First-Order Systems Using a Time Base Generator. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1205968
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205968