Reduced-Order Observer-Based Leader-Following Formation Control for Discrete-Time Linear Multi-Agent Systems

被引:0
作者
Zhongxin Liu [1 ,2 ,3 ]
Yangbo Li [2 ,3 ]
Fuyong Wang [2 ,3 ]
Zengqiang Chen [2 ,3 ]
机构
[1] IEEE
[2] the College of Artificial Intelligence, Nankai University
[3] the Tianjin Key Laboratory of Intelligent Robotics, Nankai University
关键词
Discrete-time systems; formation control; leader-following; multi-agent system; reduced-order observer;
D O I
暂无
中图分类号
TP13 [自动控制理论];
学科分类号
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要
Formation control of discrete-time linear multi-agent systems using directed switching topology is considered in this work via a reduced-order observer, in which a formation control protocol is proposed under the assumption that each directed communication topology has a directed spanning tree. By utilizing the relative outputs of neighboring agents, a reduced-order observer is designed for each following agent. A multi-step control algorithm is established based on the Lyapunov method and the modified discrete-time algebraic Riccati equation. A sufficient condition is given to ensure that the discrete-time linear multi-agent system can achieve the expected leader-following formation.Finally, numerical examples are provided so as to demonstrate the effectiveness of the obtained results.
引用
收藏
页码:1715 / 1723
页数:9
相关论文
共 24 条
[11]   Consensus tracking of linear multi-agent systems under networked observability conditions [J].
Diao, Miao ;
Duan, Zhisheng ;
Wen, Guanghui .
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (08) :1478-1486
[12]  
Leader-following consensus of linear multi-agent systems with randomly occurring nonlinearities and uncertainties and stochastic disturbances[J] . Manfeng Hu,Liuxiao Guo,Aihua Hu,Yongqing Yang.Neurocomputing . 2014
[13]  
Leader-following consensus of discrete-time multi-agent systems with observer-based protocols[J] . Xiaole Xu,Shengyong Chen,Wei Huang,Lixin Gao.Neurocomputing . 2013
[14]   Consensus of discrete-time second-order agents with time-varying topology and time-varying delays [J].
Gao, Yanping ;
Ma, Jingwei ;
Zuo, Min ;
Jiang, Tongqiang ;
Du, Junping .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (08) :2598-2608
[15]   Two consensus problems for discrete-time multi-agent systems with switching network topology [J].
Su, Youfeng ;
Huang, Jie .
AUTOMATICA, 2012, 48 (09) :1988-1997
[16]   Discarded Consensus of Network of Agents With State Constraint [J].
Liu, Zhong-Xin ;
Chen, Zeng-Qiang .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (11) :2869-2873
[17]   Formation control of mobile agents based on inter-agent distance dynamics [J].
Oh, Kwang-Kyo ;
Ahn, Hyo-Sung .
AUTOMATICA, 2011, 47 (10) :2306-2312
[18]   Finite-time stability of multi-agent system in disturbed environment [J].
Wang, Li ;
Sun, Shiwen ;
Xia, Chengyi .
NONLINEAR DYNAMICS, 2012, 67 (03) :2009-2016
[19]   Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems [J].
Yu, Wenwu ;
Chen, Guanrong ;
Cao, Ming .
AUTOMATICA, 2010, 46 (06) :1089-1095
[20]   On consensus algorithms for double-integrator dynamics without velocity measurements and with input constraints [J].
Abdessameud, Abdelkader ;
Tayebi, Abdelhamid .
SYSTEMS & CONTROL LETTERS, 2010, 59 (12) :812-821