Finite-time dynamic surface control for multi-agent systems with prescribed performance and unknown control directions
Huadi Shan, Hong Xue, Shenglin Hu, Hongjing Liang
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.