Fixed-time Consensus for Leader-follower Second-order Multi-agent Systems

CHEN Mao-li, WANG Xiao

doi:10.13371/j.cnki.chin.q.j.m.2019.03.007

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 3: 290 - 300

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.03.007

Fixed-time Consensus for Leader-follower Second-order Multi-agent Systems

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College of Liberal Arts and Sciences，National University of Defense Technology

CHEN Mao-li(1994-), female, Han, Sichuan, a master student of NUDT, engages in di®erential equations and dynamic systems; WANG Xiao(1979-), male, Han, Henan, Ph.D., a professor of NUDT, engagesin differential equations and dynamic systems.

Received date: 2019-03-05

Online published: 2020-08-23

Supported by

Supported by the National Natural Science Foundation of China(11401577,11671011)

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Abstract

We analyse the fixed-time consensus problem for multi-agent systems with leaderfollower mode. Based on a follower’s observation structure for the leader’s information, it is proved that the estimation errors can be converged to zero at a fixed time. From this stability and a sliding mode structure, we derive a control input of followers, which provides a critical support for fixed-time consensus. The simulation results demonstrate that this control approach does conduce to the implementation of the fixed-time synchronization.

Key words： Leader-follower synchronization; Fixed-time stability; Multi-agent Systems

Cite this article

CHEN Mao-li, WANG Xiao . Fixed-time Consensus for Leader-follower Second-order Multi-agent Systems[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(3) : 290 -300 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.007

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