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Fixed-Time-Synchronized Consensus Control of Multiagent Systems

In this article, a unique multiagent control problem is defined-all the elements of all the agent states reaching consensus at the same time, i.e., the multiagent system achieves time-synchronized consensus and fixed-time-synchronized consensus, where the upper bound of the synchronized settling tim...

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Bibliographic Details
Published in:IEEE transactions on control of network systems 2021-03, Vol.8 (1), p.89-98
Main Authors: Li, Dongyu, Ge, Shuzhi Sam, Lee, Tong Heng
Format: Article
Language:English
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Summary:In this article, a unique multiagent control problem is defined-all the elements of all the agent states reaching consensus at the same time, i.e., the multiagent system achieves time-synchronized consensus and fixed-time-synchronized consensus, where the upper bound of the synchronized settling time is independent of the initial states of multiagent systems. To articulate this (fixed-) time-synchronized consensus problem, we first propose time-synchronized stability and fixed-time-synchronized stability, a special kind of fixed/finite-time stability, where all the elements of the system state synchronously arrive at the equilibrium at the same time, with the upper bound of the synchronized settling time dependent/independent of initial conditions. Based on fixed-time-synchronized stability, a singularity-free sliding mode control law is designed to solve the fixed-time-synchronized consensus problem. Finally, numerical simulations are conducted to showcase the effectiveness, and further exploration of the merit of the proposed controller is provided.
ISSN:2325-5870
2325-5870
2372-2533
DOI:10.1109/TCNS.2020.3034523