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Scaled consensus of second-order multi-agent systems based on edge-event driven control
Institution:1. College of Electrical Engineering, Southwest Minzu University, Chengdu 610041, China;2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;1. National Center for Applied Mathematics in Chongqing, Chongqing Normal University, Chongqing, 401331, PR China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200072, PR China;3. Faculty of Engineering and IT, University of Technology Sydney, NSW 2007, Australia;4. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, PR China;1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, Liaoning, People’s Republic of China;2. Doctoral School FEIT, SS Cyril and Methodius University, 18 Rugjer Boskovic Str, Karpos 2, Skopje 1000, Republic of N. Macedonia;1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Communications and Networks Engineering, Prince Sultan University, Saudi Arabia;1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;2. College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314001, China;3. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. School of Automation Science and Engineering, Xi’an Jiaotong University, Xi’an 710049, China;2. SKLMSE lab, MOE Key Laboratory for Intelligent Networks and Network Security, Xi’an Jiaotong University, Xi’an 710049, China;3. Institute of Aero-engine, School of Mechanical Engineering, Xi’an Jiao Tong University, Xi’an 710049, China
Abstract:In this paper, the scaled consensus of resource-limited multi-agent systems with second-order integrator dynamics and undirected topologies is investigated. In order to reduce bandwidth and computation requirements, a scaled consensus protocol based on periodic edge-event driven control is proposed. It is proven that all the agents could converge to a scaled consensus state while the interaction topology is connected. Moreover, a self-triggered scheme is proposed so as to further reduce communication times between agents. Notably, the event-detecting period is introduced so that Zeno behavior could be excluded in our model. Finally, simulations are given to demonstrate the effectiveness of our theoretical results.
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