Leader-following H∞ consensus of discrete-time nonlinear multi-agent systems based upon output feedback control

被引:11
作者
Liang, Shuang [1 ,2 ]
Liu, Zhongxin [1 ,2 ]
Chen, Zengqiang [1 ,2 ]
机构
[1] Nankai Univ, Coll Artificial Intelligence, Tianjin 300350, Peoples R China
[2] Nankai Univ, Tianjin Key Lab Intelligent Robot, Tianjin, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete-time multi-agent systems; nonlinear systems; leader-following consensus; H-infinity control; output feedback; SWITCHING TOPOLOGY; NETWORKS;
D O I
10.1177/0142331219889555
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the leader-following H infinity consensus problem for discrete-time nonlinear multi-agent systems with delay and parameter uncertainty is investigated, with the objective of designing an output feedback protocol such that the multi-agent system achieves leader-following consensus and has a prescribed H infinity performance level. By model transforming, the leader-following consensus control problem is converted into robust H infinity control problem. Based on the Lyapunov function technology and the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of discrete-time nonlinear multi-agent systems. The feedback gain matrix and the optimal H infinity performance index are obtained in terms of linear matrix inequalities. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:1323 / 1333
页数:11
相关论文
共 29 条
[1]   Reaching a consensus via pinning control [J].
Chen, Fei ;
Chen, Zengqiang ;
Xiang, Linying ;
Liu, Zhongxin ;
Yuan, Zhuzhi .
AUTOMATICA, 2009, 45 (05) :1215-1220
[2]   Leader-following consensus of nonlinear multi-agent systems with switching topologies and unreliable communications [J].
Cui, Bing ;
Zhao, Chunhui ;
Ma, Tiedong ;
Feng, Chi .
NEURAL COMPUTING & APPLICATIONS, 2016, 27 (04) :909-915
[3]   Dual decomposition for multi-agent distributed optimization with coupling constraints* [J].
Falsone, Alessandro ;
Margellos, Kostas ;
Garatti, Simone ;
Prandini, Maria .
AUTOMATICA, 2017, 84 :149-158
[4]   Second-order consensus for a class of uncertain multi-agent systems subject to input saturation [J].
Fan, Ming-Can ;
Wang, Miaomiao .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (07) :1957-1964
[5]   Distributed consensus protocol for leader-following multi-agent systems with functional observers [J].
Gao, Lixin ;
Cui, Yulong ;
Xu, Xiaole ;
Zhao, Yuge .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (11) :5173-5190
[6]   H∞ Dynamic Output Feedback Consensus Control for Discrete-Time Multi-Agent Systems with Switching Topology [J].
Gao, Lixin ;
Tong, Changfei ;
Wang, Liyong .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2014, 39 (02) :1477-1487
[7]   Robust consensus for linear multi-agent systems with mixed uncertainties [J].
Huang, Wenchao ;
Zeng, Jianping ;
Sun, Hongfei .
SYSTEMS & CONTROL LETTERS, 2015, 76 :56-65
[8]   H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design [J].
Lien, Chang-Hua ;
Yu, Ker-Wei ;
Chung, Long-Yeu ;
Chen, Jenq-Der .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :2484-2494
[9]   A Second-Order Multi-Agent Network for Bound-Constrained Distributed Optimization [J].
Liu, Qingshan ;
Wang, Jun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) :3310-3315
[10]   H∞ consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol [J].
Liu, Yang ;
Jia, Yingmin .
INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (03) :527-537