Finite-Time Consensus and Finite-Time H∞ Consensus of Multi-Agent Systems Under Directed Topology

被引:59
作者
Wang, Jin-Liang [1 ,2 ]
Wang, Qing [3 ]
Wu, Huai-Ning [4 ]
Huang, Tingwen [5 ]
机构
[1] Tiangong Univ, Sch Comp Sci & Technol, Tianjin Key Lab Autonomous Intelligence Technol &, Tianjin 300387, Peoples R China
[2] Linyi Univ, Sch Informat Sci & Technol, Linyi 276005, Shandong, Peoples R China
[3] Tiangong Univ, Sch Comp Sci & Technol, Tianjin 300387, Peoples R China
[4] Beihang Univ, Sci & Technol Aircraft Control Lab, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
[5] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar
来源
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING | 2020年 / 7卷 / 03期
基金
中国国家自然科学基金;
关键词
Multi-agent system; finite-time consensus; finite-time H-infinity consensus; state feedback controller; adaptive state feedback controller; PINNING CONTROL; SYNCHRONIZATION; NETWORKS; DELAY;
D O I
10.1109/TNSE.2019.2943023
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we respectively discuss the finite-time consensus (FTC) and finite-time H-infinity consensus (FTHC) problems for a kind of nonlinear multi-agent systems under directed topology. Firstly, with the help of some inequality techniques and the designed state feedback controller, a FTC criterion is presented for multi-agent system. In addition, two adaptive control strategies for ensuring the FTC of multi-agent system are also developed. Moreover, we further discuss the FTHC for multi-agent system with external disturbances, and some FTHC criteria are given by exploiting the designed state feedback controller and adaptive state feedback controllers. Finally, the effectiveness of these obtained results are verified by two numerical examples.
引用
收藏
页码:1619 / 1632
页数:14
相关论文
共 32 条
[1]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[2]   Adaptive finite-time consensus protocols for multi-agent systems by using neural networks [J].
Cai, Mingjie ;
Xiang, Zhengrong ;
Guo, Jian .
IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04) :371-380
[3]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476
[4]   Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances [J].
He, Xiaoyan ;
Wang, Qingyun .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 295 :65-76
[5]   Tracking control for multi-agent consensus with an active leader and variable topology [J].
Hong, Yiguang ;
Hu, Jiangping ;
Gao, Linxin .
AUTOMATICA, 2006, 42 (07) :1177-1182
[6]   Global finite-time stabilization of a class of uncertain nonlinear systems [J].
Huang, XQ ;
Lin, W ;
Yang, B .
AUTOMATICA, 2005, 41 (05) :881-888
[7]   Event-Triggered Protocol for the Consensus of Multi-Agent Systems With State-Dependent Nonlinear Coupling [J].
Jia, Qiang ;
Tang, Wallace K. S. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2018, 65 (02) :723-732
[8]   Adaptive finite-time consensus of a class of disturbed multi-agent systems [J].
Jin, Xiaozheng ;
Zhao, Xianfeng ;
Qin, Jiahu ;
Zheng, Wei Xing ;
Kang, Yu .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (11) :4644-4664
[9]   Robust consensus of uncertain linear multi-agent systems via dynamic output feedback [J].
Li, Xianwei ;
Soh, Yeng Chai ;
Xie, Lihua .
AUTOMATICA, 2018, 98 :114-123
[10]   Finite-time consensus for nonlinear multi-agent systems with time-varying delay: An auxiliary system approach [J].
Li, Xiaolei ;
Luo, Xiaoyuan ;
Wang, Jiange ;
Guan, Xinping .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (05) :2703-2719