Distributed consensus of multi-agent systems with fault in transmission of control input and time-varying delays

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• 作者：Maryam Fattahi ; ^{m.fattahi@aut.ac.ir" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Ahmad Afshar ^{aafshar@aut.ac.ir" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Distributed consensus ; Multi-agent systems ; Missing control input ; Time-varying delays ; Switching Lyapunov&ndash ; Krasovskii functional
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：12 May 2016
• 年：2016
• 卷：189
• 期：Complete
• 页码：11-24
• 全文大小：1629 K

文摘

This paper discusses the distributed consensus problem of linear dynamical multi-agent systems with missing control input in some intervals and also delay. At first, assuming zero control input in some intervals and delay, the model of system in such conditions is formulated. Then, a distributed adaptive controller based on the relative states of neighboring agents is proposed. By constructing a set of switching Lyapunov–Krasovskii functional, a new delay-dependent exponential ultimately bounded consensus criterion with explicitly exponential convergence rate is established. Furthermore, the obtained condition will be extended to the multi-agent system, when a false signal is injected instead of the nominal control signal in some intervals. Finally, an illustrative example is solved to show the advantage of the proposed approach.