Consensus of piecewise time-varying multi-agent systems with switching topologies

被引：11
作者：
Sun, Jian [1 ]
Guo, Chen [1 ]
Liu, Lei [2 ]
机构：
[1] Dalian Maritime Univ, Marine Elect Engn Coll, 1 Linghai Rd, Dalian 116026, Peoples R China
[2] Liaoning Univ Technol, Coll Sci, Dalian, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2022年 / 44卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Consensus; time-varying systems; multi-agent systems; switching topologies; TRACKING CONTROL; SYNCHRONIZATION; STABILITY;
D O I：
10.1177/01423312221085786
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a consensus problem is first investigated for piecewise time-varying multi-agent systems with switching topologies. Due to the piecewise time-varying characteristics of system matrix, it is challenging to design an appropriate controller to stabilize the error state within each piecewise time period. To overcome this difficulty, a piecewise time-varying Lyapunov function (PTVLF) approach is proposed to analyze the piecewise time-varying systems. Then, a useful lemma guaranteeing the negative definiteness of matrix polynomials is first derived, which is utilized to prove the negative definiteness of the derivative for the PTVLF. Based on this, a novel controller with time-varying gain is presented to stabilize the error state within each piecewise time period. Then, by selecting the dwell time of each topology larger than a positive threshold, the overall consensus of such systems is guaranteed. Finally, a numerical simulation is shown to illustrate the theoretical results.
引用
收藏
页码：2522 / 2531
页数：10
相关论文
共 50 条
[31]   Time-varying group formation-tracking control for general linear multi-agent systems with switching topologies and time-varying delays [J].
Zhou, Shiyu ;
Dong, Xiwang ;
Tan, Qingke ;
Wang, Qing ;
Ren, Zhang .
2021 22ND IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 2021, :105-110
[32]   Time-varying output formation-tracking of heterogeneous multi-agent systems with time-varying delays and switching topologies [J].
Zhou, Shiyu ;
Hua, Yongzhao ;
Dong, Xiwang ;
Yu, Jianglong ;
Ren, Zhang .
MEASUREMENT & CONTROL, 2021, 54 (9-10) :1371-1382
[33]   Leader-following Consensus Control for Markov an Switching Multi-agent Systems with Interval Time-varying Delays [J].
Park, M. J. ;
Kwon, O. M. ;
Park, Ju H. ;
Lee, S. M. ;
Cha, E. J. ;
Lee, Tae H. .
2013 9TH ASIAN CONTROL CONFERENCE (ASCC), 2013,
[34]   Pinning consensus for multi-agent systems with non-linear dynamics and time-varying delay under directed switching topology [J].
Wang, Yangling ;
Cao, Jinde ;
Hu, Jianqiang .
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (17) :1931-1939
[35]   Fault-Tolerant Time-Varying Formation Tracking Control for Multi-Agent Systems With Actuator Faults and Switching Topologies [J].
Wu, Xiaojing ;
Guo, Zhenan ;
Liu, Xinyue ;
Xie, Tian .
IEEE ACCESS, 2023, 11 :131140-131151
[36]   Consensus of Second-Order Multi-Agent Systems with Time-Varying Delays and Antagonistic Interactions [J].
Hou, Bo ;
Sun, Fuchun ;
Li, Hongbo ;
Liu, Guangbin .
TSINGHUA SCIENCE AND TECHNOLOGY, 2015, 20 (02) :205-211
[37]   Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies [J].
Chen, Kairui ;
Wang, Junwei ;
Zhang, Yun .
ENTROPY, 2016, 18 (01)
[38]   Admissible consensus for descriptor multi-agent systems with switching topologies [J].
Xi, Jianxiang ;
Yao, Zhicheng ;
Liu, Hao ;
Liu, Guangbin ;
Zhong, Yisheng .
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, :1138-1143
[39]   Distributed Consensus of Multi-agent Systems with Switching Unconsensusable Topologies [J].
Ma, Chao ;
Fu, Hang ;
Wu, Wei ;
Ji, Yidao .
2020 35TH YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC), 2020, :232-236
[40]   Consensus of nonlinear multi-agent systems with directed switching topologies [J].
Yan S. ;
Wu X. ;
Wang S. ;
Li R. .
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica, 2020, 41
12345