Containment consensus with measurement noises and time-varying communication delays

doi:10.1088/1674-1056/24/2/020203

›› 2015, Vol. 24 ›› Issue (2): 20203-020203.doi: 10.1088/1674-1056/24/2/020203

Containment consensus with measurement noises and time-varying communication delays

周峰, 王正杰, 范宁军

School of Electromechanical Engineering, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2014-11-01 修回日期:2014-11-15 出版日期:2015-02-05 发布日期:2015-02-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11102019), the Aeronautical Science Foundation of China (Grant No. 2013ZC72006), and the Research Foundation of Beijing Institute of Technology, China.

Containment consensus with measurement noises and time-varying communication delays

Zhou Feng (周峰), Wang Zheng-Jie (王正杰), Fan Ning-Jun (范宁军)

School of Electromechanical Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2014-11-01 Revised:2014-11-15 Online:2015-02-05 Published:2015-02-05
Contact: Wang Zheng-Jie E-mail:summit@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11102019), the Aeronautical Science Foundation of China (Grant No. 2013ZC72006), and the Research Foundation of Beijing Institute of Technology, China.

摘要/Abstract

摘要： In this paper, we consider the containment consensus control problem for multi-agent systems with measurement noises and time-varying communication delays under directed networks. By using stochastic analysis tools and algebraic graph theory, we prove that the followers can converge to the convex hull spanned by the leaders in the sense of mean square if the allowed upper bound of the time-varying delays satisfies a certain sufficient condition. Moreover, the time-varying delays are asymmetric for each follower agent, and the time-delay-dependent consensus condition is derived. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

关键词: multi-agent systems, containment consensus, noise, communication delays

Abstract: In this paper, we consider the containment consensus control problem for multi-agent systems with measurement noises and time-varying communication delays under directed networks. By using stochastic analysis tools and algebraic graph theory, we prove that the followers can converge to the convex hull spanned by the leaders in the sense of mean square if the allowed upper bound of the time-varying delays satisfies a certain sufficient condition. Moreover, the time-varying delays are asymmetric for each follower agent, and the time-delay-dependent consensus condition is derived. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

Key words: multi-agent systems, containment consensus, noise, communication delays

中图分类号: (Control theory)

02.30.Yy

05.45.Xt (Synchronization; coupled oscillators) 05.65.+b (Self-organized systems) 89.75.-k (Complex systems)

周峰, 王正杰, 范宁军. Containment consensus with measurement noises and time-varying communication delays[J]. , 2015, 24(2): 20203-020203.

Zhou Feng (周峰), Wang Zheng-Jie (王正杰), Fan Ning-Jun (范宁军). Containment consensus with measurement noises and time-varying communication delays[J]. Chin. Phys. B, 2015, 24(2): 20203-020203.

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Containment consensus with measurement noises and time-varying communication delays

Containment consensus with measurement noises and time-varying communication delays

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