吉林大学学报(信息科学版) ›› 2016, Vol. 34 ›› Issue (3): 345-350.

• 论文 • 上一篇    下一篇

多智能体网络有限时间聚集控制

于镝, 董巍, 任伟建   

  1. 东北石油大学 电气信息工程学院, 黑龙江 大庆163318
  • 出版日期:2016-05-25 发布日期:2016-12-21
  • 作者简介:于镝(1977—), 女, 黑龙江安达人, 东北石油大学副教授, 硕士生导师, 主要从事多智能体协调控制、非线性控制的研究, (Tel)86-13401135691(E-mail)yudizlg@ aliyun. com。
  • 基金资助:

    黑龙江省科学基金资助项目(QC2013C066); 黑龙江省普通高等学校青年学术骨干支持计划基金资助项目(1254G004)

Finite-Time Rendezvous Control of Multi-Agent Networks

YU Di, DONG Wei, REN Weijian   

  1. School of Electrical Information and Engineering, Northeast Petroleum University, Daqing 163318, China
  • Online:2016-05-25 Published:2016-12-21

摘要:

为解决个体动态为一阶积分器的多智能体网络的有限时间聚集控制问题, 提出基于势能函数的控制方案。依据状态信息采用势能函数法设计了分布式非线性非光滑控制协议。基于微分包含、广义梯度和集值李导数的定义以及非光滑分析中不变集原理, 进行了有限时间稳定性分析, 给出网络可实现有限时间聚集控制的充分条件。最后通过仿真验证了理论方案的有效性。

关键词: 协调控制, 有限时间控制, 聚集控制, 非光滑分析

Abstract:

In order to solve finite time rendezvous control problem for multi-agent networks where the dynamics of agents is modeled as a first order integrator, the control scheme is proposed based on the potential energy function. Assuming that only a subset of agents know knowledge of rendezvous objective, distributed nonlinear non-smooth control protocol is proposed based on state information and the potential function method, inspired by the principles of ther-modynamics. The finite time stability analysis is made according to the definitions of differential inclusion and generalized gradient and set-valued Lie derivative and invariance principle of non-smooth analysis so as to obtain the sufficient conditions that network can achieve finite time rendezvous.Finally, simulations are used to illustrate the effectiveness of theoretical results.

Key words: cooperative control, finite-time control, rendezvous control, non-smooth analysis

中图分类号: 

  • TP273