Abstract
In this paper, the robust consensus of multi-agent dynamical systems with time-delays and exogenous disturbances is studied. A pinning control strategy is designed for a parts of agents of the multi-agent systems without disturbances, and this pinning control can bring multiple agents’ states to an expected consensus track. Under the effects of the disturbances, disturbance observers based control (DOBC) are developed for disturbances generated by an exogenous system to estimate the disturbances. Asymptotical consensus of the multi-agent systems with disturbances under the composite controller can be achieved for fixed and switching topologies. Finally, by applying an example of multi-agent systems with switching topologies and exogenous disturbances, the design of the parameters of DOBC are illuminated.
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Recommended by Editorial Board member Sooyeong Yi under the direction of Editor-in-Chief Jae-Bok Song.
This work is supported by National Natural Science Foundation of China (under Grant 60925012, 61127007, 91016004, 60904022, 61174085, 61170161), the Chinese 973 project (under grant 2012CB720003), the Natural Science Foundation of Shandong Province of China (under Grant ZR2011FM017, 2011YD01078), and the Science Foundation of China postdoctoral (under Grant 2011M500215). The authors would like to sincerely thank the reviewers for their constructive suggestions and careful reviews of the original manuscript which have significantly resulted on improving the quality and readability of the paper.
Hong-yong Yang received his Ph.D. degree in Control Theory and Control Engineering from Southeast University in 2004. Now, he is a professor in School of Information and Electrical Engineering, Ludong University, Yantai, China. He is as a post-doctor Fellow at Beihang University, Beijing, China. His research interests include nonlinear control, network control, and multi-agent formation control.
Lei Guo received his Ph.D. degree in Control Engineering from Southeast University (SEU) in 1997. From 1997 to 1999, he was a Post-Doctoral Fellow at Southeast University. From 1999 to 2000, he was a Research Fellow in IRCCyN, Nantes, Frances. From 2000 to 2003, he was a Research Fellow at Glasgow University, Loughborough University and UMIST, UK. In 2004, he joined the Institute of Automation in Southeast University as a Professor. Since 2007, he has been a Professor at the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. His research interests include robust control, stochastic systems, fault detection, filter design and nonlinear control with their applications to aerospace systems.
Hai-lin Zou received his Ph.D. degree in Geophysical Prospecting and Information Technology from Southeast University in 2005. Now, he is a professor in School of Information and Electrical Engineering, Ludong University, Yantai, China. His research interests include internet of things, sensor networks, nonlinear control, Intelligent Information Processing.
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Yang, Hy., Guo, L. & Zou, Hl. Robust consensus of multi-agent systems with time-delays and exogenous disturbances. Int. J. Control Autom. Syst. 10, 797–805 (2012). https://doi.org/10.1007/s12555-012-0416-3
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DOI: https://doi.org/10.1007/s12555-012-0416-3