Edge-Based Finite-Time Protocol Analysis with Final Consensus Value and Settling Time Estimations

Yu Zhao; Yongfang Liu; Guanghui Wen; Wei Ren; Guanrong Chen

doi:10.1109/TCYB.2018.2872806

Edge-Based Finite-Time Protocol Analysis with Final Consensus Value and Settling Time Estimations

Yu Zhao, Yongfang Liu, Guanghui Wen, Wei Ren, Guanrong Chen

School of Automation

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

54 Scopus citations

Abstract

The objective of this paper is to design the protocols with a final consensus value and settling time estimations for finite-time consensus of multiagent systems. A couple of new edge-based protocols are developed for multiple second-order nonlinear agents under bounded or Lipschitz-type nonlinear functions, respectively. The final consensus value of the multiagent system is obtained as an average expression. Further, to obtain the estimation of the finite settling time, a special Lyapunov function is constructed. Through the construction processes, both the final consensus value and the settling time are obtained. Finally, as applications, a finite-time formation controller based on the first protocol is designed for multiple mini-spacecraft, verified by simulations.

Original language	English
Article number	8491357
Pages (from-to)	1450-1459
Number of pages	10
Journal	IEEE Transactions on Cybernetics
Volume	50
Issue number	4
DOIs	https://doi.org/10.1109/TCYB.2018.2872806
State	Published - Apr 2020

Keywords

Edge-based protocol
final consensus value
finite-time consensus
settling time estimation

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10.1109/TCYB.2018.2872806

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abstract = "The objective of this paper is to design the protocols with a final consensus value and settling time estimations for finite-time consensus of multiagent systems. A couple of new edge-based protocols are developed for multiple second-order nonlinear agents under bounded or Lipschitz-type nonlinear functions, respectively. The final consensus value of the multiagent system is obtained as an average expression. Further, to obtain the estimation of the finite settling time, a special Lyapunov function is constructed. Through the construction processes, both the final consensus value and the settling time are obtained. Finally, as applications, a finite-time formation controller based on the first protocol is designed for multiple mini-spacecraft, verified by simulations.",

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AB - The objective of this paper is to design the protocols with a final consensus value and settling time estimations for finite-time consensus of multiagent systems. A couple of new edge-based protocols are developed for multiple second-order nonlinear agents under bounded or Lipschitz-type nonlinear functions, respectively. The final consensus value of the multiagent system is obtained as an average expression. Further, to obtain the estimation of the finite settling time, a special Lyapunov function is constructed. Through the construction processes, both the final consensus value and the settling time are obtained. Finally, as applications, a finite-time formation controller based on the first protocol is designed for multiple mini-spacecraft, verified by simulations.

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Edge-Based Finite-Time Protocol Analysis with Final Consensus Value and Settling Time Estimations

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