AIMS Mathematics (Mar 2024)

Neighbor event-triggered adaptive distributed control for multiagent systems with dead-zone inputs

  • Xiaohang Su,
  • Peng Liu,
  • Haoran Jiang ,
  • Xinyu Yu

DOI
https://doi.org/10.3934/math.2024491
Journal volume & issue
Vol. 9, no. 4
pp. 10031 – 10049

Abstract

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The paper focused on the distributed tracking problem for a specific class of multi-agent systems, characterized by bandwidth constraint and dead zone actuators, where the bandwidth limitations exist in neighbor agents and the dead zone nonlinearity refers to a generalized mathematical model. Initially, a series of event-triggered mechanisms with relative thresholds were established for neighbor agents, ensuring that control signals were transmitted only when necessary. Next, the generalized dead zone models were decomposed into two parts: indefinite terms with control coefficients and disturbance-like terms, resulting in unpredictability and damaging effects. Subsequently, based on the backstepping procedure, final consensus controllers with multiple polynomial compensators were constructed. These controllers offset the coupling coefficients caused by event-triggered mechanisms and dead zone non-smooth. Stability analysis was given to substantiate the theoretical correctness of this method and support the claim of Zeno behavior avoidance. Finally, simulation studies were performed for the feasibility of our proposed methodology.

Keywords