Event-triggered formation adaptive control of singular fractional order multi-agent systems with switching topologies and nonlinear dynamics

In this paper, the formation control of singular fractional order multi-agent systems with alpha is an element of(0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha \in (0,1]$$\end{document} is investigated. Firstly, under the switching direct communication topologies, the observer based adaptive controllers are designed. Then, by event-triggered scheme and Lyapunov direct method, the formation control algorithm is presented to achieve bounded of the formation error systems. Moreover, according to the event-triggered schemes, the Zeno behaviors are avoided by giving the lower bound. Finally, the validity of the result given is illustrated by a numerical example.