Leader-Follower finite-time consensus of multiagent systems with nonlinear dynamics by intermittent protocol

被引:23
作者
He, Shengchao [1 ]
Liu, Xiangdong [2 ]
Lu, Pingli [2 ]
Liu, Haikuo [3 ]
Du, Changkun [3 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[3] Beijing Inst Technol, Sch Mechatron Engn, Beijing 100081, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 06期
基金
美国国家科学基金会;
关键词
DISTRIBUTED CONSENSUS; TRACKING CONTROL; SYNCHRONIZATION; NETWORKS; STABILIZATION;
D O I
10.1016/j.jfranklin.2022.01.031
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 deals with the leader-follower finite-time consensus problem for multiagent systems with nonlinear dynamics via intermittent protocol. The topological structure of the followers is undirected or balanced digraph. Different from most existing works concerning nonlinear dynamics (satisfies Lipschitz continuity), the nonlinear dynamics of each agent satisfies Holder continuity in this paper. In light of the finite-time control technique, the intermittent control protocol is designed to reach accurate leader-follower finite-time consensus. It is justified that the leader-follower finite-time consensus can be realized if the length of communication is greater than a critical value by using limit theory. Finally, two numerical examples are exhibited to validate the effectiveness of the proposed scheme. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:2646 / 2662
页数:17
相关论文
共 48 条
[1]   Continuous finite-time stabilization of the translational and rotational double integrators [J].
Bhat, SP ;
Bernstein, DS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682
[2]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[3]   Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking [J].
Cao, Yongcan ;
Ren, Wei ;
Meng, Ziyang .
SYSTEMS & CONTROL LETTERS, 2010, 59 (09) :522-529
[4]  
Courant R., 1989, INTRO CALCULUS ANAL
[5]   Distributed Event-Triggered Control for Multi-Agent Systems [J].
Dimarogonas, Dimos V. ;
Frazzoli, Emilio ;
Johansson, Karl H. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) :1291-1297
[6]   Impulsive Multiconsensus of Second-Order Multiagent Networks Using Sampled Position Data [J].
Guan, Zhi-Hong ;
Han, Guang-Song ;
Li, Juan ;
He, Ding-Xin ;
Feng, Gang .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (11) :2678-2688
[7]   Consensus Analysis Based on Impulsive Systems in Multiagent Networks [J].
Guan, Zhi-Hong ;
Wu, Yonghong ;
Feng, Gang .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2012, 59 (01) :170-178
[8]   Distributed consensus of the nonlinear second-order multi-agent systems via mixed intermittent protocol [J].
Guo, Wanli ;
Xiao, Haijun .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 30 :189-198
[9]  
Hardy G., 1953, Inquealities, V37, P236
[10]  
Hartman P., 2002, Classics in Applied Mathematics, V2nd