Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy

ABSTRACT

This paper is devoted to the quasi-containment control problem of fractional-order multi-agent systems (FOMASs). First, to reduce the frequency of communications, a novel observer-based event-triggered control mechanism which only relies on the information at the trigger-time is proposed. And then, by applying the theory of algebraic graph, matrix and fractional-order calculus, some sufficient consensus conditions based on the linear matrix inequality are established for achieving the consensus of FOMASs. In addition, the strict positive lower bound on the inter-event interval is obtained, which implies that the system is free from the Zeno behaviour. Finally, several simulation examples are presented to demonstrate the effectiveness of the theoretical results.

KEYWORDS:

• Observer-based
• quasi-containment
• fractional-order
• multi-agent systems
• event-triggered strategy

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Beijing Educational Committee Foundation [No. KM201910011007], the National Natural Science Foundation of China [Nos. 61772063], the College Student Research and Career-creation Program of Beijing City [No. 201810011022] and the Beijing Natural Science Foundation [No. Z180005].

Notes on contributors

Xiaolin Yuan

Xiaolin Yuan received her B.S. degree in school of Science, Beijing Technology and Business University, China, in 2017. Currently, she is pursuing the Master degree in control theory in School of Science, Beijing Technology and Business University. Her research interests include coordination control of fractional order multi-agent systems.

Lipo Mo

Lipo Mo received his B.S. degree in Department of Mathematics, Shihezi University, China, in 2003, and the Ph.D. degree in School of Mathematics and Systems Science from the Beihang University, Beijing, in 2010. Currently, he is an associate professor at Beijing Technology and Business University. His research interests include stochastic systems, coordination control of multi-agent systems, and distributed optimization algorithm.

Yongguang Yu

Yongguang Yu received his M.S. degree in Department of Mathematical Science, Inner Mongolia University, China, in 2001, and the Ph.D. degree in Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China, in 2004. From 2007 to 2009, he was a research fellow in City University of Hong Kong, China. Since 2010, he has been a professor with the Department of Mathematics, School of Science, Beijing Jiaotong University, China. His research interests include chaotic dynamics, chaos control and synchronisation, complex networks, nonlinear control, and multi-agent systems.