Leader-following consensus for linear multi-agent systems based on integral-type event-triggered strategy

被引：0
作者：
Zhou T. [1 ,2 ]
Liu Q.-L. [1 ,2 ]
Wang D. [1 ,2 ]
Wang W. [1 ,2 ]
机构：
[1] School of Control Science and Engineering, Dalian University of Technology, Dalian
[2] Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian
来源：
Kongzhi yu Juece/Control and Decision | 2022年 / 37卷 / 05期
关键词：
Containment control; Fixed topology; Integral-based event-triggered control; Leader following consensus; Multi-agent systems; Switching topology;
D O I：
10.13195/j.kzyjc.2020.1758
中图分类号：
学科分类号：
摘要：
Distributed event-triggered consensus tracking is researched for multi-agent systems with general linear dynamics under directed switching topologies. Most existing works focus on event-triggered control with a fixed communication topology, which however can not meet the demand that the relations among agents may vary or the communication topology may change over time. In light of this, an integral-based event-triggered control strategy is developed in the consideration of switching topologies. Firstly, when the communication topology contains a directed spanning tree with the leader being the root, we solve the integral-type event-triggered leader-following consensus under switching topologies by using the Lyapunov stability theory, algebraic graph theory and matrix transformation. Then, the integral-type event-triggered containment control of multi-agent systems is investigated under switching topologies when there exist multiple leaders. Moreover, the Zeno-behavior of the closed-loop systems is excluded by developing a positive constant lower bound under the proposed control rules in both above-mentioned cases. Finally, simulations are presented to verify the validity of the proposed control strategy. Copyright ©2022 Control and Decision.
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页码：1258 / 1266
页数：8
相关论文
共 27 条
[1]  
Olfati-Saber R, Murray R M., Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49, 9, pp. 1520-1533, (2004)
[2]  
Wen G X, Chen C L P, Liu Y J, Et al., Neural network-based adaptive leader-following consensus control for a class of nonlinear multiagent state-delay systems, IEEE Transactions on Cybernetics, 47, 8, pp. 2151-2160, (2017)
[3]  
Chen S M, Li H Y, Shao S, Et al., Controllable containment control of multiple robotic fish based on bipartite graph maximum matching, Control and Decision, 34, 1, pp. 157-161, (2019)
[4]  
Wang Y W, Liu X K, Xiao J W, Et al., Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control, Automatica, 93, pp. 26-32, (2018)
[5]  
Dong X W, Hu G Q., Time-varying formation control for general linear multi-agent systems with switching directed topologies, Automatica, 73, pp. 47-55, (2016)
[6]  
Zhang H W, Lewis F L, Das A., Optimal design for synchronization of cooperative systems: State feedback, observer and output feedback, IEEE Transactions on Automatic Control, 56, 8, pp. 1948-1952, (2011)
[7]  
Wang D, Wang Z, Chen M F, Et al., Distributed optimization for multi-agent systems with constraints set and communication time-delay over a directed graph, Information Sciences, 438, pp. 1-14, (2018)
[8]  
Meng Z Y, Ren W, Cao Y C, Et al., Leaderless and leader-following consensus with communication and input delays under a directed network topology, IEEE Transactions on Systems, Man, and Cybernetics- Part B: Cybernetics, 41, 1, pp. 75-88, (2011)
[9]  
Ni J K, Liu L, Liu C X, Et al., Fixed-time leader-following consensus for second-order multiagent systems with input delay, IEEE Transactions on Industrial Electronics, 64, 11, pp. 8635-8646, (2017)
[10]  
Hua C C, You X, Guan X P., Leader-following consensus for a class of high-order nonlinear multi-agent systems, Automatica, 73, pp. 138-144, (2016)
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