Robust formation control of discrete-time multi-agent systems by iterative learning approach

被引:41
作者
Liu, Yang [1 ,2 ]
Jia, Yingmin [1 ]
机构
[1] Beihang Univ BUAA, Res Div 7, Beijing, Peoples R China
[2] Beihang Univ BUAA, Dept Syst & Control, Beijing, Peoples R China
关键词
initial shifts; switching topology; formation control; iterative learning control (ILC); nonlinear dynamics; discrete-time multi-agent system; NETWORKED CONTROL-SYSTEMS; DESIGN;
D O I
10.1080/00207721.2013.793781
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
By means of the iterative learning approach, robust formation control is investigated for the discrete-time multi-agent systems with unknown nonlinear dynamics, in the presence of iteration-varying initial formation errors. The formation problem is firstly converted into a stability control problem, and then a distributed iterative learning scheme is developed for networks with switching topology. Based on the 2-D analysis approach, a sufficient condition is derived to guarantee the boundedness of formation errors during the whole motion process, and feedback matrix of the proposed iterative scheme can be further determined by solving linear matrix inequalities (LMIs). Simulation results illustrate the effectiveness of the proposed method.
引用
收藏
页码:625 / 633
页数:9
相关论文
共 25 条
[1]   Iterative learning control: Brief survey and categorization [J].
Ahn, Hyo-Sung ;
Chen, YangQuan ;
Moore, Kevin L. .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART C-APPLICATIONS AND REVIEWS, 2007, 37 (06) :1099-1121
[2]  
Boyd B., 1994, LINEAR MATRIX INEQUA
[3]   A survey of iterative learning control [J].
Bristow, Douglas A. ;
Tharayil, Marina ;
Alleyne, Andrew G. .
IEEE CONTROL SYSTEMS MAGAZINE, 2006, 26 (03) :96-114
[4]   Neural-Network-Based Adaptive Leader-Following Control for Multiagent Systems with Uncertainties [J].
Cheng, Long ;
Hou, Zeng-Guang ;
Tan, Min ;
Lin, Yingzi ;
Zhang, Wenjun .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (08) :1351-1358
[5]   Leader-follower formation control of underactuated autonomous underwater vehicles [J].
Cui, Rongxin ;
Ge, Shuzhi Sam ;
How, Bernard Voon Ee ;
Choo, Yoo Sang .
OCEAN ENGINEERING, 2010, 37 (17-18) :1491-1502
[6]   2-d analysis for iterative learning controller for discrete-time systems with variable initial conditions [J].
Fang, Y ;
Chow, TWS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (05) :722-727
[7]   Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks [J].
Hou, Zeng-Guang ;
Cheng, Long ;
Tan, Min .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (03) :636-647
[8]  
Kaczorek T., 1985, 2 DIMENSIONAL LINEAR
[9]   Iterative learning control for linear time-variant discrete systems based on 2-D system theory [J].
Li, XD ;
Ho, JKL ;
Chow, TWS .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (01) :13-18
[10]   Formation Control of Discrete-Time Multi-Agent Systems by Iterative Learning Approach [J].
Liu, Yang ;
Jia, Yingmin .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (05) :913-919