r-CONSENSUS CONTROL FOR HIGHER-ORDER MULTI-AGENT SYSTEMS WITH DIGRAPH

被引：10

作者：

Xin, Youming ^{[1
]}

Cheng, Zunshui ^{[1
,2
]}

机构：

[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China

[2] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期

基金：

中国博士后科学基金;

关键词：

Multi-agent system; consensus; digraph; ALGORITHMS; NETWORKS; AGENTS;

D O I：

10.1002/asjc.670

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 studies a consensus problem for lth (l >= 2) order multi-agent systems with digraph, namely, for a fixed r (0 <= r <= l - 1), the rth derivative x(i)(r) of the states x(i) of agents are convergent to a constant value and, for every k (0 <= k <= l - 1), x(i)(k) - x(j)(k) are convergent to zeros. A new concept of r-consensus is introduced and new consensus protocols are proposed for solving such an r-consensus problem. A sufficient and necessary condition for r-consensus is obtained. As special cases, criteria for third-order systems are given, in which the exact relationship between feedback gains is established. Finally, an illustrative example is given to demonstrate the effectiveness of these protocols.

引用

页码：1524 / 1530

页数：7