Robust Consensus for a Class of Uncertain Multi-Agent Dynamical Systems

被引：34
|
作者：
Han, Dongkun [1 ]
Chesi, Graziano [1 ]
Hung, Yeung Sam [1 ]
机构：
[1] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS | 2013年 / 9卷 / 01期
关键词：
Convex programming; multi-agent system; robust consensus; uncertain system; NETWORKED CONTROL-SYSTEMS; DISCRETE-TIME-SYSTEMS; POLYTOPIC UNCERTAINTIES; SENSOR NETWORKS; POLYNOMIALS; STABILITY; MODEL;
D O I：
10.1109/TII.2012.2217971
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates robust consensus for a class of uncertain multi-agent dynamical systems. Specifically, it is supposed that the system is described by a weighted adjacency matrix whose entries are polynomial functions of an uncertain vector constrained in a semi-algebraic set. For this uncertain topology, we provide necessary and sufficient conditions for ensuring robust first-order consensus and robust second-order consensus, in both cases of positive and non-positive weighted adjacency matrices. Moreover, we show how these conditions can be investigated through convex programming by using standard software. Some numerical examples illustrate the proposed results.
引用
收藏
页码：306 / 312
页数：7
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