Finite-time dynamic surface control for multi-agent systems with prescribed performance and unknown control directions

Huadi Shan, Hong Xue, Shenglin Hu and Hongjing Liang

International Journal of Systems Science, 2022, vol. 53, issue 2, 325-336

Abstract: In this paper, the finite-time adaptive fuzzy control method is proposed for nonlinear nonstrict-feedback multi-agent systems (MASs) with unknown control directions. The Nussbaum function is introduced to compensate the influence of unknown control directions. By combining the finite-time stability criterion, an adaptive fuzzy controller is constructed to ensure that systems reach a steady state in a finite time, and the tracking errors of all output signals converge to a small neighbourhood of the origin. By using the Lyapunov finite-time stability theorem, all signals are proved to be semi-global practically finite-time stable. Finally, the effectiveness of the proposed control method is proved through some results of simulation experiments.

Date: 2022
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DOI: 10.1080/00207721.2021.1954719

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