Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies

doi:10.1088/1674-1056/27/4/040504

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/27/4/040504

Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies

Jin-Huan Wang(王金环), Yu-Ling Xu(许玉玲), Jian Zhang(张建), De-Dong Yang(杨德东)

1. School of Science, Hebei Provincial Key Laboratory of Big Data Calculation, Hebei University of Technology, Tianjin 300401, China;
2. School of Control Science and Engineering, Hebei University of Technology, Tianjin 300130, China

收稿日期:2017-10-09 修回日期:2018-01-20 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Jin-Huan Wang E-mail:wjhuan228@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11701138) and the Natural Science Foundation of Hebei Province, China (Grant Nos. F2017202009 and F2018202075).

Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies

Jin-Huan Wang(王金环)¹, Yu-Ling Xu(许玉玲)¹, Jian Zhang(张建)¹, De-Dong Yang(杨德东)²

1. School of Science, Hebei Provincial Key Laboratory of Big Data Calculation, Hebei University of Technology, Tianjin 300401, China;
2. School of Control Science and Engineering, Hebei University of Technology, Tianjin 300130, China

Received:2017-10-09 Revised:2018-01-20 Online:2018-04-05 Published:2018-04-05
Contact: Jin-Huan Wang E-mail:wjhuan228@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11701138) and the Natural Science Foundation of Hebei Province, China (Grant Nos. F2017202009 and F2018202075).

摘要/Abstract

摘要： This paper investigates the time-varying formation problem for general linear multi-agent systems using distributed event-triggered control strategy. Different from the previous works, to achieve the desired time-varying formation, a distributed control scheme is designed in an event-triggered way, in which for each agent the controller is triggered only at its own event times. The interaction topology among agents is assumed to be switching. The common Lyapunov function as well as Riccati inequality is applied to solve the time-varying formation problem. Moreover, the Zeno behavior of triggering time sequences can be excluded for each agent. Finally, a simulation example is presented to illustrate the effectiveness of the theoretical results.

关键词: multi-agent systems, time-varying formation, switching topologies, event-triggered control

Abstract: This paper investigates the time-varying formation problem for general linear multi-agent systems using distributed event-triggered control strategy. Different from the previous works, to achieve the desired time-varying formation, a distributed control scheme is designed in an event-triggered way, in which for each agent the controller is triggered only at its own event times. The interaction topology among agents is assumed to be switching. The common Lyapunov function as well as Riccati inequality is applied to solve the time-varying formation problem. Moreover, the Zeno behavior of triggering time sequences can be excluded for each agent. Finally, a simulation example is presented to illustrate the effectiveness of the theoretical results.

Key words: multi-agent systems, time-varying formation, switching topologies, event-triggered control

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

89.75.-k (Complex systems) 02.30.Hq (Ordinary differential equations) 02.30.Yy (Control theory)

王金环, 许玉玲, 张建, 杨德东. Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies[J]. 中国物理B, 2018, 27(4): 40504-040504.

Jin-Huan Wang(王金环), Yu-Ling Xu(许玉玲), Jian Zhang(张建), De-Dong Yang(杨德东). Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies[J]. Chin. Phys. B, 2018, 27(4): 40504-040504.

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Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies

Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies

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