Fuzzy adaptive event-triggered distributed control for a class of nonlinear multi-agent systems

Siyu Li; Shu Li; Lei Liu; Siyu Li; Shu Li; Lei Liu

doi:10.3934/mbe.2024021

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 1: 474-493. doi: 10.3934/mbe.2024021

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Fuzzy adaptive event-triggered distributed control for a class of nonlinear multi-agent systems

Siyu Li ¹,
Shu Li ^{2
,
,},
Lei Liu ¹

1.
College of Science, Liaoning University of Technology, Jinzhou 121001, China
2.
College of Electrical Engineering, Liaoning University of Technology, Jinzhou 121001, China

Received: 19 November 2023 Revised: 04 December 2023 Accepted: 10 December 2023 Published: 14 December 2023

In this work, we examine an adaptive and event-triggered distributed controller for nonlinear multi-agent systems (MASs). Second, we present a fuzzy adaptive event-triggered distributed control approach using a Lyapunov-based filter and the backstepping recursion technique. Next, the controller and adaptive rule presented guarantee that all tracking errors between the leader and the follower converge in a limited area close to the origin. According to the Lyapunov stability theory, this demonstrates that all other signals inside the closed loop are assured to be semi-globally, uniformly and finally constrained. Finally, simulation tests are conducted to illustrate the effectiveness of the control mechanism.
- nonlinear multi-agent systems,
- fuzzy logic system,
- event-triggered distributed control,
- backstepping method
Citation: Siyu Li, Shu Li, Lei Liu. Fuzzy adaptive event-triggered distributed control for a class of nonlinear multi-agent systems[J]. Mathematical Biosciences and Engineering, 2024, 21(1): 474-493. doi: 10.3934/mbe.2024021

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Abstract

In this work, we examine an adaptive and event-triggered distributed controller for nonlinear multi-agent systems (MASs). Second, we present a fuzzy adaptive event-triggered distributed control approach using a Lyapunov-based filter and the backstepping recursion technique. Next, the controller and adaptive rule presented guarantee that all tracking errors between the leader and the follower converge in a limited area close to the origin. According to the Lyapunov stability theory, this demonstrates that all other signals inside the closed loop are assured to be semi-globally, uniformly and finally constrained. Finally, simulation tests are conducted to illustrate the effectiveness of the control mechanism.

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