中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/23/6/060502

• GENERAL • 上一篇    下一篇

Tracking problem under a time-varying topology

董立静a, 柴森春a, 张百海a, 阮盛强b   

  1. a School of Automation, Beijing Institute of Technology, Beijing 100081, China;
    b The Department of Electrical and Computer Engineering, The University of Auckland, Private Bag, 92019 Auckland, New Zealand
  • 收稿日期:2013-10-17 修回日期:2013-12-05 出版日期:2014-06-15 发布日期:2014-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61104086), the Scientific Research, Postgraduate Training Joint-Build Project (Grant No. 20120639002), and the China Scholarship Council (Grant No. 201306030027).

Tracking problem under a time-varying topology

Dong Li-Jing (董立静)a, Chai Sen-Chun (柴森春)a, Zhang Bai-Hai (张百海)a, Nguang Sing-Kiong (阮盛强)b   

  1. a School of Automation, Beijing Institute of Technology, Beijing 100081, China;
    b The Department of Electrical and Computer Engineering, The University of Auckland, Private Bag, 92019 Auckland, New Zealand
  • Received:2013-10-17 Revised:2013-12-05 Online:2014-06-15 Published:2014-06-15
  • Contact: Chai Sen-Chun E-mail:chaisc97@bit.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61104086), the Scientific Research, Postgraduate Training Joint-Build Project (Grant No. 20120639002), and the China Scholarship Council (Grant No. 201306030027).

摘要: This paper studies the multi-agent tracking problem of a third-order maneuvering target under uncertain communication environments. Each tracking agent is assumed to be a third-order system and can only use its own and neighbors' position, velocity, and acceleration information to design its control input. In this work, the uncertain communication environments are modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed tracking strategy.

关键词: third-order multi-agent systems, tracking strategy, time-varying topology

Abstract: This paper studies the multi-agent tracking problem of a third-order maneuvering target under uncertain communication environments. Each tracking agent is assumed to be a third-order system and can only use its own and neighbors' position, velocity, and acceleration information to design its control input. In this work, the uncertain communication environments are modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed tracking strategy.

Key words: third-order multi-agent systems, tracking strategy, time-varying topology

中图分类号:  (Self-organized systems)

  • 05.65.+b
02.30.Yy (Control theory) 07.05.Dz (Control systems) 05.45.-a (Nonlinear dynamics and chaos)