Prescribed-time cluster lag consensus control for second-order non-linear leader-following multiagent systems

被引：69
作者：
Ren, Yuanhong [1 ]
Zhou, Wuneng [1 ]
Li, Zhiwei [1 ,2 ]
Liu, Ling [1 ]
Sun, Yuqing [2 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Shanghai Univ Engn Sci, Sch Elect & Elect Engn, Shanghai 201620, Peoples R China
来源：
ISA TRANSACTIONS | 2021年 / 109卷
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Prescribed-time consensus; Cluster lag consensus; Non-linear dynamics; Leader-following multiagent systems; COMPLEX NETWORKS; SYNCHRONIZATION; PARAMETERS; STABILITY; TRACKING; AGENTS;
D O I：
10.1016/j.isatra.2020.09.012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Prescribed-time Lag consensus, as a special case of prescribed-time cluster lag consensus, is first investigated. The task is to design a control protocol for each follower so that the multiagent system (MAS) achieves lag consensus in any specified time. To achieve this goal, we propose a new distributed controller, in which the control gains are designed as time-varying functions related to the prespecified time. In addition, a state transformation is introduced to tackle the technical difficulty caused by time-varying functions of different powers in the theoretical proof process. Then, a solution for the cluster lag consensus problem of the MAS is provided, so that under the proposed control protocol, each subsystem composed of followers from the same group and the leader achieves lag consensus with a different lag time in the specified time. By using a state transformation, Graph theory and generalized Lyapunov stability theory, the validity of the designed schemes is verified theoretically and sufficient conditions for the two conclusions are given respectively. Finally, we give two simulation examples to show performances of the proposed solutions. (C) 2020 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：49 / 60
页数：12
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