Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control

ABSTRACT

This paper investigates the consensus problem of leader-following multi-agent systems with fractional-order nonlinear dynamics. A typical event is defined as some error signals exceeding a given threshold. By applying Lyapunov functional approach and skills of computing function limit, consensus of the controlled multi-agent systems can be reached asymptotically. Meanwhile, the event-triggered algorithm can exclude Zeno behaviours. Finally, a numerical simulation is exploited to verify the effectiveness of the theoretical result.

KEYWORDS:

• Consensus
• event-triggered control
• fractional order nonlinear dynamics
• multi-agent systems

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was jointly supported by the National Natural Science Foundation of China [grant number 11226116] and the Fundamental Research Funds for the Central Universities [JUSRP51317B].

Notes on contributors

Fei Wang

Fei Wang was born in 1992. He received his B.S. degree in Mathematics and Applied Mathematics from Jiangnan University, Wuxi, China, in 2013. Now he is working toward the Ph.D. degree at School of Internet of Things, Jiangnan University, Wuxi, China. His current research mainly concerns to dynamic and control of fractional order systems and nonlinear systems.

Yongqing Yang

Yongqing Yang received his B.S. degree from Anhui Normal University, Wuhu, China, his M.S. degree from Anhui University of Science and Technology, Huainan, China, and his Ph.D. degree from Southeast University, Nanjing, China, in 1985, 1992, and 2007, respectively. He is currently a professor of Jiangnan University. He is the author or coauthor of more than 50 journal papers. His research interests include nonlinear systems, neural networks and optimisation.