Mathematical Biosciences and Engineering (Jan 2024)

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

  • Siyu Li ,
  • Shu Li,
  • Lei Liu

DOI
https://doi.org/10.3934/mbe.2024021
Journal volume & issue
Vol. 21, no. 1
pp. 474 – 493

Abstract

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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.

Keywords