Bipartite asynchronous impulsive tracking consensus for multi-agent systems

Lingzhong ZHANG; Yuanyuan LI; Jungang LOU; Jianquan LU

doi:10.1631/FITEE.2100122

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Bipartite asynchronous impulsive tracking consensus for multi-agent systems

Regular Papers | Updated：2022-10-28

- Bipartite asynchronous impulsive tracking consensus for multi-agent systems
- 多智能体系统的二分异步脉冲跟踪一致性
- Frontiers of Information Technology & Electronic Engineering Vol. 23, Issue 10, Pages: 1522-1532(2022)
- Affiliations：
  
  1.School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, China
  2.Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
  3.School of Information Engineering, Huzhou University, Huzhou 313000, China
  4.School of Mathematics, Southeast University, Nanjing 210096, China
- Author bio：
  
  [ "Lingzhong ZHANG received her BS and MS degrees in Mathematics from Northwest Normal University, Lanzhou, China, in 1999 and 2002, respectively, and her PhD degree in Control Science and Engineering from Jiangnan University, Wuxi, China, in 2018. She is currently an associate professor of Changshu Institute of Technology, Changshu, China. Her research interests include nonlinear systems, neural networks, and collective behavior in complex dynamical networks and multi-agent systems." ]
  yuanyuan.li.cn@gmail.com
  ‡Corresponding authors
  [ "Jianquan LU received his BS degree in Mathematics from Zhejiang Normal University, Jinhua, China, in 2003, his MS degree in Mathematics from Southeast University, Nanjing, China, in 2006, and his PhD degree in Applied Mathematics from City University of Hong Kong, Hong Kong, China, in 2009. From 2010 to 2012, he was an Alexander von Humboldt Research Fellow in the Potsdam Institute for Climate Impact Research, Germany. He is currently a professor at the Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China. His current research interests include collective behavior in complex dynamical networks and multi-agent systems, logical networks, and hybrid systems." ]
- Funds：
- DOI：10.1631/FITEE.2100122
  CLC： TP18
- Received：04 March 2021，
  
  Revised：2022-01-13，
  
  Accepted：18 April 2021，
  
  Published Online：04 March 2022，
  
  Published：0 October 2022
- Accepted：
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Lingzhong ZHANG, Yuanyuan LI, Jungang LOU, et al. Bipartite asynchronous impulsive tracking consensus for multi-agent systems[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(10): 1522-1532.
DOI：

Lingzhong ZHANG, Yuanyuan LI, Jungang LOU, et al. Bipartite asynchronous impulsive tracking consensus for multi-agent systems[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(10): 1522-1532. DOI： 10.1631/FITEE.2100122.

摘要

本文研究了多智能体系统如何通过实施异步脉冲控制输入实现分布式二分领导跟随一致性。所提出的异步脉冲控制方法不要求所有多智能体的脉冲信号同时发生。多智能体系统相邻节点之间的通信链路存在合作或竞争关系。在领导者控制输入非零的情况下，得到了在闭环多智能体系统中实现二分异步脉冲跟踪一致性的充分条件。本文讨论了更广泛的异步脉冲效应范围。所设计的控制器反馈部分可有效对抗脉冲扰动。给出了估计脉冲增益边界和异步脉冲区间的简单代数条件。最后，通过数值仿真验证了理论结果的合理性。

Abstract

In this study

we discuss how multi-agent systems (MASs) with a leader can achieve distributed bipartite tracking consensus using asynchronous impulsive control strategies. The proposed asynchronous impulsive control approach does not require the impulse to occur simultaneously for all agents. The communication links between neighboring nodes of MASs are antagonistic. When the leader’s control input is non-zero

sufficient conditions are obtained to achieve bipartite asynchronous impulsive tracking consensus in closed-loop MASs. More extensive ranges of asynchronous impulsive effects are discussed

and the designed controller’s feedback can effectively work against adverse impulsive permutation. Simple algebraic conditions for estimating the impulsive gain boundary and asynchronous impulsive interval are presented. Theoretical results are demonstrated with illustrative examples.

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