Output Feedback Predefined-Time Bipartite Consensus Control for High-Order Nonlinear Multiagent Systems

Kuo Li; Changchun Hua; Xiu You; Choon Ki Ahn

doi:10.1109/TCSI.2021.3071974

Output Feedback Predefined-Time Bipartite Consensus Control for High-Order Nonlinear Multiagent Systems

Kuo Li, Changchun Hua, Xiu You, Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

99 Citations (Scopus)

Abstract

This paper concerns the predefined-time bipartite consensus control for uncertain nonlinear multiagent systems under a signed directed topology. All agents have high-order uncertain nonlinear dynamic characteristics satisfying a time-varying Lipschitz growth condition, and their partial state information is not available for measurement. In this case, we put forward a novel output-feedback-based predefined-time leader-following bipartite consensus control strategy. A predefined-time compensator for each follower is firstly constructed with a time-varying gain by utilizing its relative output information. Then, a novel linear-like output feedback predefined-time distributed control protocol is developed for each follower by means of the compensator. By making two artful state transitions, the bipartite consensus problem is reduced to a stabilization one of nonlinear systems. By means of the Lyapunov stability theorem, we strictly prove that the designed controllers can ensure that all agents realize bipartite consensus in predefined time. Finally, two simulation examples are given to validate the viability of the developed theoretical algorithm.

Original language	English
Article number	9415871
Pages (from-to)	3069-3078
Number of pages	10
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	68
Issue number	7
DOIs	https://doi.org/10.1109/TCSI.2021.3071974
Publication status	Published - 2021 Jul

Bibliographical note

Funding Information:
Manuscript received January 4, 2021; revised March 10, 2021 and April 4, 2021; accepted April 5, 2021. Date of publication April 26, 2021; date of current version June 4, 2021. This work was supported in part by the National Key Research and Development Program of China under Grant 2018YFB1308300, in part by the National Research Foundation of Korea (NRF) grant funded by the Korean Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449, in part by the National Natural Science Foundation of China under Grant U20A20187 and Grant 618255304, in part by the Science Fund for Creative Research Groups of Hebei Province under Grant F2020203013, in part by the Science and Technology Development grant of Hebei Province under Grant 20311803D and Grant 19011824Z, in part by the National Defence Fundamental Project under Grant 2020A130, and in part by the Post-Doctoral Innovative Talent Support Program of China under Grant BX20200201. This article was recommended by Associate Editor N. Kumar. (Corresponding authors: Changchun Hua; Choon Ki Ahn.) Kuo Li is with the School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China, and also with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: good-will@ foxmail.com).

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

Bipartite consensus
a time-varying gain
output feedback controllers
predefined-time control
uncertain nonlinear multiagent systems

ASJC Scopus subject areas

Electrical and Electronic Engineering
Hardware and Architecture

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10.1109/TCSI.2021.3071974

Cite this

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title = "Output Feedback Predefined-Time Bipartite Consensus Control for High-Order Nonlinear Multiagent Systems",

abstract = "This paper concerns the predefined-time bipartite consensus control for uncertain nonlinear multiagent systems under a signed directed topology. All agents have high-order uncertain nonlinear dynamic characteristics satisfying a time-varying Lipschitz growth condition, and their partial state information is not available for measurement. In this case, we put forward a novel output-feedback-based predefined-time leader-following bipartite consensus control strategy. A predefined-time compensator for each follower is firstly constructed with a time-varying gain by utilizing its relative output information. Then, a novel linear-like output feedback predefined-time distributed control protocol is developed for each follower by means of the compensator. By making two artful state transitions, the bipartite consensus problem is reduced to a stabilization one of nonlinear systems. By means of the Lyapunov stability theorem, we strictly prove that the designed controllers can ensure that all agents realize bipartite consensus in predefined time. Finally, two simulation examples are given to validate the viability of the developed theoretical algorithm.",

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note = "Funding Information: Manuscript received January 4, 2021; revised March 10, 2021 and April 4, 2021; accepted April 5, 2021. Date of publication April 26, 2021; date of current version June 4, 2021. This work was supported in part by the National Key Research and Development Program of China under Grant 2018YFB1308300, in part by the National Research Foundation of Korea (NRF) grant funded by the Korean Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449, in part by the National Natural Science Foundation of China under Grant U20A20187 and Grant 618255304, in part by the Science Fund for Creative Research Groups of Hebei Province under Grant F2020203013, in part by the Science and Technology Development grant of Hebei Province under Grant 20311803D and Grant 19011824Z, in part by the National Defence Fundamental Project under Grant 2020A130, and in part by the Post-Doctoral Innovative Talent Support Program of China under Grant BX20200201. This article was recommended by Associate Editor N. Kumar. (Corresponding authors: Changchun Hua; Choon Ki Ahn.) Kuo Li is with the School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China, and also with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: good-will@ foxmail.com). Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

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N2 - This paper concerns the predefined-time bipartite consensus control for uncertain nonlinear multiagent systems under a signed directed topology. All agents have high-order uncertain nonlinear dynamic characteristics satisfying a time-varying Lipschitz growth condition, and their partial state information is not available for measurement. In this case, we put forward a novel output-feedback-based predefined-time leader-following bipartite consensus control strategy. A predefined-time compensator for each follower is firstly constructed with a time-varying gain by utilizing its relative output information. Then, a novel linear-like output feedback predefined-time distributed control protocol is developed for each follower by means of the compensator. By making two artful state transitions, the bipartite consensus problem is reduced to a stabilization one of nonlinear systems. By means of the Lyapunov stability theorem, we strictly prove that the designed controllers can ensure that all agents realize bipartite consensus in predefined time. Finally, two simulation examples are given to validate the viability of the developed theoretical algorithm.

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Output Feedback Predefined-Time Bipartite Consensus Control for High-Order Nonlinear Multiagent Systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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