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.
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No potential conflict of interest was reported by the author(s).
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All data included in this study are available upon request by contact with the corresponding author.
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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.