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Event-triggered group consensus for multi-agent systems subject to input saturation
Authors:Aihua Hu  Jinde Cao  Manfeng Hu  Liuxiao Guo
Institution:1. School of Science, Jiangnan University, Wuxi 214122, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. School of Electrical Engineering, Nantong University, Nantong 226000, China;4. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, China
Abstract:This paper investigates group consensus for leaderless multi-agent systems with non-identical dynamics. The consensus protocol is put forward in the form of the distributed event-triggered control subject to saturation, which depends on information from neighboring agents at event-triggered instants. In order to exclude the Zeno behavior and save resources, the given event-triggered condition is detected only at discrete sampling times, where the sampling intervals can be variable. Based on the graph theory, Lyapunov–Krasovskii functional method and by adopting the free-weighting matrix technique, some sufficient group consensus criteria in terms of linear matrix inequalities are derived. Furthermore, optimization problems aiming at maximizing the event-triggered parameter and the consensus region are proposed. Finally, numerical simulations illustrate the effectiveness of the theoretical results.
Keywords:Corresponding author  
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