Distributed containment control of fractional-order uncertain multi-agent systems

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• 作者：Jie Chen^a ; ^b ; ^c ; Zhi-Hong Guan^a ; ^b ; ^{zhguan@mail.hust.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Chao Yang^a ; Tao Li^d ; ^{taohust2008@163.com" class="auth_mail" title="E-mail the corresponding author} ; Ding-Xin He^a ; Xian-He Zhang^e
• 刊名：Journal of The Franklin Institute
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：353
• 期：7
• 页码：1672-1688
• 全文大小：446 K

文摘

This paper investigates the containment control problem of uncertain linear multi-agent systems, where the dynamics of each agent is described by a fractional-order differential equation. Based on the stability theory of fractional-order systems and matrix theory, some sufficient conditions are presented to ensure that the states of the followers can asymptotically converge to the convex hull formed by those of the leaders, and the feedback matrix of the proposed protocol is also determined according to linear matrix inequalities. Two simulation examples are provided to demonstrate the effectiveness of the theoretical results.