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Order-Preserved Preset-Time Cooperative Control: A Monotone System-Based Approach
B. Ning and Q.-L. Han, “Order-preserved preset-time cooperative control: A monotone system-based approach,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 9, pp. 1603–1611, Sept. 2022. doi: 10.1109/JAS.2022.105440
Authors:Boda Ning  Qing-Long Han
Affiliation:1. Center for Smart Infrastructure and Digital Construction, Swinburne University of Technology, Melbourne, VIC 3122, Australia;2. School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC 3122, Australia
Abstract:This paper is concerned with order-preserved preset-time cooperative control of multi-agent systems with directed graphs. A novel monotone system-based approach is proposed to preserve the initial order of agents while guaranteeing the preset-time state agreement. Specifically, three different distributed controllers together with sufficient conditions are designed to realize leaderless consensus, leader-following consensus, and containment control, respectively. The proposed controllers facilitate preset-time deployment of agents in practical scenarios with collision avoidance requirement. Comparison studies through a numerical example are carried out to illustrate the effectiveness of the proposed controllers. 
Keywords:Collision-avoidance   consensus   multi-agent systems   preset-time control
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