Leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with settling time estimation

被引:10
作者
He, Xiaoyan [1 ]
Hao, Yuqing [2 ]
Wang, Qingyun [2 ]
机构
[1] Inner Mongolia Univ Finance & Econ, Dept Stat & Math, Hohhot 010070, Peoples R China
[2] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Multi-agent systems; Distributed control; Leaderless finite-time consensus; Lipschitz nonlinearities; Settling time estimation; CONTAINMENT CONTROL; NETWORKS; TRACKING; DESIGN;
D O I
10.1016/j.physa.2018.09.084
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with partial-state coupling is investigated, where the communication network is weighted undirected and weighted. A new distributed control algorithm is proposed by designing the appropriate control parameters in the undirected connected communication topology. By using the algebraic graph theory, matrix theory, power integrator technique, and Lyapunov control approach, the leaderless finite-time consensus is achieved for the second-order Lipschitz nonlinear multi-agent systems. The main contribution of this paper is that, the settling time can be estimated by computing the value of the Lyapunov function at the initial point. Finally, the effectiveness of the results is illustrated by some numerical simulations. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:280 / 289
页数:10
相关论文
共 50 条
[31]   Finite-time Consensus of Second-order Nonlinear Systems with Unknown Dynamics [J].
Wang Wei ;
Wang Dan ;
Peng Zhouhua .
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, :7148-7152
[32]   Adaptive finite-time consensus tracking for nonlinear second-order multi-agent systems based on integral sliding mode [J].
Wang, Shan ;
Zhan, Xisheng ;
Wu, Jie ;
Yan, Huaicheng .
EUROPEAN JOURNAL OF CONTROL, 2024, 80
[33]   Fuzzy Finite-time Consensus Control for Nonlinear Second-order Multi-agent Systems with Disturbances by Integral Sliding Mode [J].
Mirzaei, Mohammad Javad ;
Ghaemi, Sehraneh ;
Aslmostafa, Ehsan ;
Badamchizadeh, Mohammad Ali ;
Baradarannia, Mahdi .
2021 7TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION AND AUTOMATION (ICCIA), 2021, :339-343
[34]   Robust Asymptotic and Finite-time Tracking for Second-order Nonlinear Multi-agent Autonomous Systems [J].
Islam, Shafiqul ;
Xiros, Nikolas I. .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (12) :3069-3078
[35]   Consensus of second-order multi-agent systems with nonlinear dynamics and time delays [J].
Miao, Guoying ;
Wang, Zhen ;
Ma, Qian ;
Lu, Junwei .
NEURAL COMPUTING & APPLICATIONS, 2013, 23 (3-4) :761-767
[36]   Leader-Following Finite-time Consensus of Second-order Nonlinear Multi-agent Systems on Directed Graph [J].
Chen Gang ;
Guan Yanfeng .
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, :8292-8296
[37]   Finite-Time Synchronization of a Class of Second-Order Nonlinear Multi-Agent Systems Using Output Feedback Control [J].
Du, Haibo ;
He, Yigang ;
Cheng, Yingying .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2014, 61 (06) :1778-1788
[38]   Finite-Time Consensus Problem for Second-Order Multi-Agent Systems Under Switching Topologies [J].
Wang, Fang ;
Chen, Xin ;
He, Yong ;
Wu, Min .
ASIAN JOURNAL OF CONTROL, 2017, 19 (05) :1756-1766
[39]   Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode [J].
Yu, Shuanghe ;
Long, Xiaojun .
AUTOMATICA, 2015, 54 :158-165
[40]   Finite-time consensus control of second-order multi-agent systems with input saturation constraint [J].
Zhao, Bin ;
Zhang, Mengyuan ;
Huang, Xiaoyang ;
Guo, Yaohua .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2024, 46 (16) :3269-3281