Consensus for Linear Multiagent Systems With Time-Varying Delays: A Frequency Domain Perspective

被引：72

作者：

Chen, Yuanye ^{[1
]}

Shi, Yang ^{[2
,3
]}

机构：

[1] Univ Victoria, Dept Mech Engn, Victoria, BC V8W 2Y2, Canada

[2] Univ Victoria, Dept Mech Engn, Victoria, BC V8W 3P6, Canada

[3] Hubei Univ Technol, Sch Elect & Elect Engn, Wuhan 430068, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2017年 / 47卷 / 08期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Cooperative control; delay systems; frequency domain analysis; multiagent systems; robust control; COMMUNICATION DELAYS; SWITCHING TOPOLOGY; NETWORKS; INPUT; SYNCHRONIZATION; INFORMATION; AGENTS;

D O I：

10.1109/TCYB.2016.2590480

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 the consensus problem for multiagent systems with time-varying delays. The bounded delays can be arbitrarily fast time-varying. The communication topology is assumed to be undirected and fixed. With general linear dynamics under average state feedback protocols, the consensus problem is then transformed into the robust control problem. Further, sufficient frequency domain criteria are established in terms of small gain theorem by analyzing the delay dependent gains for both continuous-time and discrete-time systems. The controller synthesis problems can be solved by applying the frequency domain design methods. Numerical examples are demonstrated to verify the effectiveness of the proposed approaches.

引用

页码：2143 / 2150

页数：8

共 38 条

[1]

[Anonymous], 2008, Dynamical Processes on Complex Networks

[2]

[Anonymous], 1997, CBMS REGIONAL C SERI

[3] Applications and design issues for mobile agents in wireless sensor networks [J].

Chen, Min ;

Gonzalez, Sergio ;

Leung, Victor C. M. .

IEEE WIRELESS COMMUNICATIONS, 2007, 14 (06) :20-26

[4] Information flow and cooperative control of vehicle formations [J].

Fax, JA ;

Murray, RM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476

[5]

Goodwin G. C., 2000, CONTROL SYSTEM DESIG

[6] Consensusability of Discrete-Time Dynamic Multiagent Systems [J].

Gu, Guoxiang ;

Marinovici, Laurentiu ;

Lewis, Frank L. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) :2085-2089

[7] Simple stability criteria for systems with time-varying delays [J].

Kao, CY ;

Lincoln, B .

AUTOMATICA, 2004, 40 (08) :1429-1434

[8] A sliding mode approach to H∞ synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties [J].

Karimi, Hamid Reza .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (04) :1480-1496

[9] RETRACTED: Robust Delay-Dependent H∞ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters (Retracted Article) [J].

Karimi, Hamid Reza .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (08) :1910-1923

[10] Local Capacity H∞ Control for Production Networks of Autonomous Work Systems With Time-Varying Delays [J].

Karimi, Hamid Reza ;

Duffie, Neil A. ;

Dashkovskiy, Sergey .

IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2010, 7 (04) :849-857

← 1 2 3 4 →