Consensus of fractional-order multi-agent systems via current and time-delay states feedback

Abstract

The consensus problems of fractional-order multi-agent systems(FOMAS) are investigated under a fixed interaction graph. A consensus protocol that has current and time-delay states is designed. The conception of practical consensus of FOMAS is proposed. The asymptotical consensus condition is obtained by taking advantage of Laplace transform. Furthermore, the practical consensus condition of the FOMAS with the protocol is given by direct derivation. Through numerical simulation, we find that the standard control protocol can not achieve consensus in some situations. However, the proposed protocol could make the states of multi-agent be consensus or even practical consensus.

Keywords:

• Multi-agent systems
• graph theory
• consensus
• current and time-delay states feedback
• practical consensus

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

All data included in this study are available upon request by contact with the corresponding author.

Additional information

Funding

This work was supported by China Scholarship Council [201608645025], National Natural Science Foundation of China [61763040, 61403219, 61903306] and Research Starting Funds for Imported Talents of Ningxia University [BQD2014014].

Notes on contributors

Huan Pan

Huan Pan received the B.Sc. and M.Sc. degrees from Northwest Normal University in 2005 and 2008, respectively and Ph.D. degree from Central South University in 2012. He works as an associate professor at School of Physics and Electronic Electrical Engineering, Ningxia University. His research interest covers cooperative control of multi-agent systems, complex systems, networked control.

Xinghuo Yu

Xinghuo Yu received B. Eng. and M. Eng. degrees from University of Science and Technology of China, Hefei, China in 1982 and 1984, respectively, and Ph.D. degree from Southeast University, Nanjing, China in 1988. He is currently with the RMIT University, Melbourne, VIC, Australia, where he is the Associate Deputy Vice-Chancellor (Research Capobility) and Distinguished Professor. He current research interests include variable structure and nonlinear control, complex and intelligent systems and networks, and industrial applications. Prof. Yu was a recipient of a number of awards for his achievements, including the 2013 Dr. Ing. Eugene Mittelmann Achievement Award of the IEEE Industrial Electronics Society. He is a Fellow of the IEEE and president-elect of the IEEE Industrial Electronics Society.

Ling Guo

Ling Guo received the B.S. and M.S. degrees in Applied Mathematics from Northwest Normal University in 2005 and 2008, respectively, and the Ph.D. degree in Control Theory and Engineering from Central South University in 2013. She is currently an associate professor in Northwest University for Nationalities. Her research interest covers biological systems, complex network, cooperative control of multi-agent systems.

Li Xue

Li Xue received the B.Sc. degree from Heilongjiang University of Science and Technology in 2008, and the Ph.D. degree from Northwest Polytechnical University in 2013. Currently, she is a lecturer at School of Physics and Electronic Electrical Engineering, Ningxia University. Her research interest covers navigation, guidance and control, information fusion.