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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2021 Vol.22 No.1 P.88-96
Convergence of time-varying networks and its applications
Abstract: In this study, we present the convergence of time-varying networks. Then, we apply the convergence property to cooperative control of nonlinear multiagent systems (MASs) with unknown control directions (UCDs), and illustrate a new kind of Nussbaum-type function based control algorithms. It is proven that if the time-varying networks are cut-balance, the convergence of nonlinear MASs with nonidentical UCDs is achieved using the presented algorithms. A critical feature of this application is that the designed algorithms can deal with nonidentical UCDs by employing conventional Nussbaum-type functions. Finally, one simulation example is given to illustrate the effectiveness of the presented algorithms.
Key words: Time-varying networks, Unknown control directions, Nussbaum-type function, Cut-balance condition
东南大学自动化学院,中国南京市,210096
摘要:本文分析一类时变网络的收敛性。将收敛性质应用于具有未知控制方向的非线性多智能体系统协同控制问题,并提出一类新的基于Nussbaum型函数的控制策略。若时变网络是准平衡的,则所提控制策略可实现具有未知控制方向的非线性多智能体系统的收敛。所提算法的一个重要特点是,该算法可采用经典的Nussbaum型函数解决控制方向未知且不等同问题。最后,提出一个仿真案例验证所提算法的有效性。
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DOI:
10.1631/FITEE.2000160
CLC number:
TP13
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On-line Access:
2021-01-11
Received:
2020-04-08
Revision Accepted:
2020-06-01
Crosschecked:
2020-08-06