Practical consensus for high-order linear time-invariant swarm systems with interaction uncertainties, time-varying delays and external disturbances

被引：44

作者：

Dong, Xiwang ^{[1
]}

Xi, Jianxiang ^{[1
,2
]}

Shi, Zongying ^{[1
]}

Zhong, Yisheng ^{[3
]}

机构：

[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

[2] High Tech Inst Xian, Xian 710025, Peoples R China

[3] Tsinghua Univ, TNList, Dept Automat, Beijing 100084, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 10期

基金：

中国国家自然科学基金;

关键词：

practical consensus; swarm system; external disturbance; time-varying delay; interaction uncertainty; MULTIAGENT SYSTEMS; COOPERATIVE CONTROL; AUTONOMOUS AGENTS; COMMUNICATION; LEADER; SYNCHRONIZATION; COORDINATION; ALGORITHMS; STABILITY; FLOCKING;

D O I：

10.1080/00207721.2012.670296

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Practical consensus problems for general high-order linear time-invariant swarm systems with interaction uncertainties and time-varying external disturbances on directed graphs are investigated in this article. A dynamic consensus protocol with non-uniform time-varying delays is adopted to deal with the practical consensus problem. Using state space decomposition, practical consensus problems of a swarm system are converted into stability problems of a disagreement subsystem. Based on the Lyapunov-Krasovskii functional approach and the linear matrix inequality technique, sufficient conditions for swarm systems to achieve practical consensus are proposed where the time-varying external disturbance can be in L-2 or L. Numerical simulations are presented to demonstrate theoretical results.

引用

页码：1843 / 1856

页数：14

共 50 条

[21] Output containment analysis and design for high-order linear time-invariant swarm systems
Dong, Xiwang
Shi, Zongying
Lu, Geng
Zhong, Yisheng
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (06) : 900 - 913
[22] Time-varying formation control for high-order linear swarm systems with switching interaction topologies
Dong, Xiwang
Shi, Zongying
Lu, Geng
Zhong, Yisheng
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (18): : 2162 - 2170
[23] Swarm Stability Analysis of High-Order Linear Time-Invariant Singular Multiagent Systems
Fu, Mingyu
Wang, Shimin
Cong, Yirui
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[24] Robust H∞ Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays
Jia, Xiao
Hu, Laihong
Feng, Fujun
Xu, Jun
INTERNATIONAL JOURNAL OF AEROSPACE ENGINEERING, 2019, 2019
[25] Stabilization of Asymptotically Time-Invariant Linear Time-Varying Systems
Sun, Yuli
Chi, Wei
Xiao, Jinmei
Yu, Tianqiu
2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 3881 - 3885
[26] Formation Control of High-Order Swarm Systems With Time-Varying Delays and Switching Interconnections
Zhang, Qingjie
Guo, Haifeng
Shi, Xiaohang
IEEE ACCESS, 2020, 8 : 28188 - 28196
[27] Distributed adaptive time-varying formation for multi-agent systems with general high-order linear time-invariant dynamics
Wang, Rui
Dong, Xiwang
Lin, Qingdong
Ren, Zhang
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (10): : 2290 - 2304
[28] Rejection of Sinusoidal Disturbances With Unknown Slowly Time-Varying Frequencies for Linear Time-Invariant Systems
Stewart, Jacob
Ioannou, Petros
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (08) : 5531 - 5537
[29] Swarm stability for high-order linear time-invariant singular multi-agent systems
Xi, Jianxiang
Yao, Zhicheng
Liu, Guangbin
Zhong, Yisheng
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (08) : 1458 - 1471
[30] Formation-containment analysis and design for high-order linear time-invariant swarm systems
Dong, Xiwang
Shi, Zongying
Lu, Geng
Zhong, Yisheng
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (17) : 3439 - 3456

← 1 2 3 4 5 →