Adaptive Consensus of Multi-Agent Systems With Unknown Identical Control Directions Based on A Novel Nussbaum-Type Function

被引：323

作者：

Chen, Weisheng ^{[1
,2
]}

Li, Xiaobo ^{[3
]}

Ren, Wei ^{[4
]}

Wen, Changyun ^{[5
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

[3] Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China

[4] Univ Calif Riverside, Dept Elect Engn, Riverside, CA 92521 USA

[5] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 07期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Adaptive consensus; multi-agent system; Nussbaum-type function; unknown control direction; NONLINEAR-SYSTEMS; TRACKING CONTROL; STABILIZATION; DESIGN;

D O I：

10.1109/TAC.2013.2293452

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 note addresses the adaptive consensus problem of first-order and second-order linearly parameterized multi-agent systems with unknown identical control directions. First, we propose a new Nussbaum-type function based on which a key lemma is established. The lemma plays an important role in analyzing the consensus of the closed-loop multi-agent systems. Second, the Nussbaum-type function is used to design adaptive control laws for first-order and second-order linearly parameterized multi-agent systems so that each agent seeks for the unknown control direction adaptively and cooperatively. Then, under the assumption that the interconnection topology is undirected and connected, it is proved that the first-order and second-order multi-agent systems can achieve consensus by choosing proper design parameters. Two simulation examples are given to illustrate the effectiveness of the proposed control laws.

引用

页码：1887 / 1892

页数：6

共 25 条

[1]

[Anonymous], 1995, NONLINEAR ADAPTIVE C

[2] Distributed Cooperative Adaptive Identification and Control for a Group of Continuous-Time Systems With a Cooperative PE Condition via Consensus [J].

Chen, Weisheng ;

Wen, Changyun ;

Hua, Shaoyong ;

Sun, Changyin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) :91-106

[3] Observer-based consensus of second-order multi-agent system with fixed and stochastically switching topology via sampled data [J].

Chen, Weisheng ;

Li, Xiaobo .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (03) :567-584

[4] Quantized consensus of second-order continuous-time multi-agent systems with a directed topology via sampled data [J].

Chen, Weisheng ;

Li, Xiaobo ;

Jiao, L. C. .

AUTOMATICA, 2013, 49 (07) :2236-2242

[5] Distributed adaptive control for synchronization of unknown nonlinear networked systems [J].

Das, Abhijit ;

Lewis, Frank L. .

AUTOMATICA, 2010, 46 (12) :2014-2021

[6] Global adaptive output feedback stabilization of nonlinear systems of any relative degree with unknown high-frequency gains [J].

Ding, ZT .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (10) :1442-1446

[7] A flat-zone modification for robust adaptive control of nonlinear output feedback systems with unknown high-frequency gains [J].

Ding, ZT ;

Ye, XD .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :358-363

[8] 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

[9] Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols [J].

Li, Zhongkui ;

Ren, Wei ;

Liu, Xiangdong ;

Fu, Mengyin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (07) :1786-1791

[10] SOME REMARKS ON A CONJECTURE IN PARAMETER ADAPTIVE-CONTROL [J].

NUSSBAUM, RD .

SYSTEMS & CONTROL LETTERS, 1983, 3 (05) :243-246

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