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Leader-following consensus of heterogeneous multi-agent systems with packet dropout

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Abstract

This paper studies the leader-following consensus problem for heterogeneous multi-agent systems composed of linear second-order integrator agents and nonlinear Euler-Lagrange agents in two aspects. The consensus problem of heterogeneous multi-agent systems is discussed with unknown velocities, time-varying disturbances and packet dropout by introducing extended state observer. Sufficient conditions are established to ensure that all following agents could reach consensus with a virtual leader, which provide the allowable upper bound of packet drop rate. Numerical simulations are presented to illustrate the theoretical results.

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Correspondence to Hongjiu Yang.

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Recommended by Associate Editor Hongbo Li under the direction of Editor Fuchun Sun.

The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper. This work was supported by the National Key Basic Research Program (973), China (2014CB046405). The work of Zhixin Liu was supported partially by the Natural Science Foundation of China under Grant 61104033, 61473247, and the Hebei Provincial Natural Science Fund under Grand F2012203109. The work of Hongjiu Yang was supported by the National Natural Science Foundation of China under Grant 61203023, the Natural Science Foundation of Hebei Education Department under Grant Q2012060 and the Hebei Provincial Natural Science Fund under Grand F2013203092. The work of Ling Zhao was supported by the Hebei Provincial Natural Science Fund under Grand E2014 203122.

Zhixin Liu received his B.S., M.S. and Ph.D. degrees in Control Theory and Engineering from Yanshan University, Qinhuangdao, China, in 2000, 2003, and 2006, respectively. His current research interests include control and coordination of multi-agent systems, wireless sensor/ actor networks, wireless sensor networks and applications.

Xiu You received her B.S. and M.S. degrees in Automation from Yanshan University, Qinhuangdao, China, in 2012 and 2014, respectively. She is currently working toward a Ph.D. degree at the Department of Electrical Engineering, Yanshan University. Her research interests include robust control/filter theory, multi-agent systems, networked control systems.

Hongjiu Yang received his B.S. degree in Mathematics and Applied Mathematics and his M.S. degree in Applied Mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. He received his Ph.D. degree in Control Science and Engineering in Beijing Institute of Technology, Beijing, China. He is currently an associate professor with the Department of Automation, Institute of Electrical Engineering, Yanshan University, China. His main research interests include robust control/filter theory, delta operator systems, networked control systems and active disturbance rejection control.

Ling Zhao was born in Hebei Province, China, in 1984. She received her B.S. degree in Automation from Southwest University, Chongqing, China in 2007. She received her Ph.D. degree in Control Science and Engineering in Beijing Institute of Technology, Beijing, China in 2012. She is currently a teacher with the college of Mechanical Engineering, Yanshan University, China. Her research interests include robust control, pneumatic system, delta operator systems, networked control systems.

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Liu, Z., You, X., Yang, H. et al. Leader-following consensus of heterogeneous multi-agent systems with packet dropout. Int. J. Control Autom. Syst. 13, 1067–1075 (2015). https://doi.org/10.1007/s12555-014-0298-7

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