Adaptive fuzzy consensus tracking control of multi-agent systems with predefined time

Fang Zhu; Pengtong Li; Fang Zhu; Pengtong Li

doi:10.3934/math.2025245

AIMS Mathematics

2025, Volume 10, Issue 3: 5307-5331. doi: 10.3934/math.2025245

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Adaptive fuzzy consensus tracking control of multi-agent systems with predefined time

Fang Zhu ^{1,2
,
,},
Pengtong Li ¹

1.
School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2.
School of Finance and Mathematics, Huainan Normal University, Huainan, 232038, China

Received: 12 December 2024 Revised: 14 February 2025 Accepted: 25 February 2025 Published: 10 March 2025
MSC : 90C29, 93B52

This article concentrated on practically predefined-time consensus tracking control of multi-agent systems (MASs) exhibiting strict feedback dynamics, and attaining a predefined level of accuracy. Specifically, a sufficient condition was derived to decide whether the consensus error converges into a predefined region in a certain predefined time that can be appointed beforehand irrespective of initial conditions. By the established stability criterion, a distributed robust fuzzy controller was designed, whose primary aim is to ensure the cooperative stability of the consensus output tracking errors. Command filters were utilized to obtain the estimations of virtual inputs and their derivatives. More notably, the followers can track a designated trajectory structure guided by the leader within a predefined time and tracking errors can be arbitrarily small, which provides a theoretical criterion for the consensus tracking problem of MASs. Finally, an example was utilized to indicate the effectiveness and practicality of the proposed approach.
- multi-agent,
- predefined time,
- stability criterion,
- fuzzy control,
- command filter
Citation: Fang Zhu, Pengtong Li. Adaptive fuzzy consensus tracking control of multi-agent systems with predefined time[J]. AIMS Mathematics, 2025, 10(3): 5307-5331. doi: 10.3934/math.2025245

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Abstract

This article concentrated on practically predefined-time consensus tracking control of multi-agent systems (MASs) exhibiting strict feedback dynamics, and attaining a predefined level of accuracy. Specifically, a sufficient condition was derived to decide whether the consensus error converges into a predefined region in a certain predefined time that can be appointed beforehand irrespective of initial conditions. By the established stability criterion, a distributed robust fuzzy controller was designed, whose primary aim is to ensure the cooperative stability of the consensus output tracking errors. Command filters were utilized to obtain the estimations of virtual inputs and their derivatives. More notably, the followers can track a designated trajectory structure guided by the leader within a predefined time and tracking errors can be arbitrarily small, which provides a theoretical criterion for the consensus tracking problem of MASs. Finally, an example was utilized to indicate the effectiveness and practicality of the proposed approach.

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