https://orcid.org/0000-0002-2493-1032
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ABSTRACT
Distributed containment control for multi-agent systems with time delay is investigated, where the communication topology is directed. Different from the existing literature which mainly focuses on general linear dynamics with time delay, containment control of nonlinear dynamics is discussed with the help of a new follower-based time-varying delays control protocol. Furthermore, there always exist uncertainties in the controller and observer gain matrices, a novel class of non-fragile containment control with time delay is addressed for the first time, which can be more applicable and more significant to real physical systems. By making use of the convex analysis, algebraic graph theory, matrix transformation and Lyapunov theory, it is derived that the obtained results are cast as feasible linear matrix inequalities and the states of the followers finally converge to the convex hull formed by the leaders. Finally, two simulation examples of nine-agents topology are presented to verify the validity of obtained theoretical analysis.
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Tuo Zhou
Tuo Zhou received the BS degree from the Wuhan University of Science and Technology, Hubei, China, in 2012. He is currently pursuing the PhD degree with the School of Control Science and Engineering, Dalian University of Technology, Dalian, China. His current research interests include event-triggered control, consensus and containment control.
Quanli Liu
Quanli Liu received the PhD degree in control theory and control engineering from the Dalian University of Technology, Dalian, China, in 2005. Since 2005, he has been with the Dalian University of Technology, where he is currently a Professor with the Faculty of Electronic Information and Electrical Engineering. His research interests include process industry process planning, decision-making, optimization scheduling and embedded system research.
Dong Wang
Dong Wang received the PhD degree in control theory and control engineering from the Dalian University of Technology, China, in 2010. Since 2010, he has been with the Dalian University of Technology, where he is currently a professor with the School of Control Science and Engineering. His current research interests include multiagent systems, distributed optimization, fault detection and switched systems.
Wei Wang
Wei Wang received the bachelor’s, master’s, and PhD degrees in industrial automation from Northeastern University, Shenyang, China, in 1982, 1986, and 1988, respectively. He was a Postdoctoral Fellow with the Division of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway, from 1990 to 1992, a Professor and the Vice Director of the Research Center of Automation, Northeastern University from 1995 to 1999, and a Research Fellow with the Department of Engineering Science, University of Oxford, Oxford, U.K., from 1998 to 1999. He is currently a Professor with the School of Control Science and Engineering, Dalian University of Technology, Dalian, China. He has authored the two books in Chinese titled Generalized Predictive Control Theory and Its Applications (Science Publishing House, China, 1997) and Multimodel Control and Its Applications (Science Publishing House, China, 2002). He has published over 200 papers in international and domestic journals. His research interests are in adaptive control, predictive control, robotics, computer integrated manufacturing systems, and computer control of industrial process.