Abstract
In this paper, we study the leader-following rendezvous and flocking problems for a class of second-order nonlinear multiagent systems, which contain both external disturbances and plant uncertainties. What differs our problems from the conventional leader-following consensus problem is that we need to preserve the connectivity of the communication graph instead of assuming the connectivity of the communication graph. By integrating the adaptive control technique, the distributed observer method and the potential function method, the two problems are both solved. Finally, we apply our results to a group of van der Pol oscillators.
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This paper is dedicated to Professor T. J. Tarn on the occasion of his 80th birthday.
This work was supported by the Research Grants Council of the Hong Kong Special Administration Region (No. 14200515).
Wei LIU received the B.Eng. degree in 2009 from Southeast University, Nanjing, China, the M.Eng. degree in 2012 from University of Science and Technology of China, Hefei, China, and the Ph.D. degree in 2016 from The Chinese University of Hong Kong, Hong Kong, China. He is currently a Postdoctoral Fellow at The Chinese University of Hong Kong. His research interests include output regulation, event-triggered control, nonlinear control, multi-agent systems, and switched systems.
Jie HUANG is Choh-Ming Li professor and chairman of the Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China. His research interests include nonlinear control theory and applications, multi-agent systems, and flight guidance and control. Dr. Huang is a Fellow of IEEE, IFAC, CAA, and HKIE.
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Liu, W., Huang, J. Adaptive leader-following rendezvous and flocking for a class of uncertain second-order nonlinear multi-agent systems. Control Theory Technol. 15, 354–363 (2017). https://doi.org/10.1007/s11768-017-7083-0
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DOI: https://doi.org/10.1007/s11768-017-7083-0