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带有未知控制增益的多智能体系统的自适应一致性
引用本文:李晓波.带有未知控制增益的多智能体系统的自适应一致性[J].宝鸡文理学院学报(自然科学版),2014,34(4):5-8,14.
作者姓名:李晓波
作者单位:宝鸡文理学院数学与信息学院,陕西宝鸡,721013
基金项目:陕西省自然科学基础研究计划资助项目,宝鸡市科技计划项目,宝鸡文理学院重点资助项目
摘    要:目的 研究带有未知增益的一阶多智能体系统在无向连通拓扑下的一致性.方法 设计了带有Nussbaum函数的自适应控制协议,与一般的Nussbaum函数不同,文中所选用的函数不仅有很快的变化速度而且极易求积分,另外,所提出的控制协议不需要设计增益的先验值和符号信息.结果与结论 采用Lyapunov方法,给出了最终的一致性条件,并通过仿真说明了所得结论的有效性.

关 键 词:多智能体系统  自适应一致性  Lyapunov函数  未知控制增益  Nussbaum函数

Adaptive consensus of multi-agent systems with unknown control gain
LI Xiao-bo.Adaptive consensus of multi-agent systems with unknown control gain[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2014,34(4):5-8,14.
Authors:LI Xiao-bo
Institution:LI Xiao-bo;Institute of Mathematics and Information Science,Baoji University of Arts and Sciences;
Abstract:Objective-To address the consensus problem for the first-order systems with unknown control gain under undirected and connected topologies. Methods-designed is an adaptive control pro- tocol with a Nussbaum-type function, which is different from the existing forms of the function, for the function we chosen not only has high speed of variation, but also can be integrated easily. Moreo- ver, the proposed control protocol does not require a priori value and symbol information of the con- trol gain. Results and Conclusion--By using the Lyapunov techniques, the condition of consensus is given. Fi- nally, a simulation example is provided to illustrate the effectiveness of the proposed consensus protocol.
Keywords:Multi-agent system  adaptive consensus  Lyapunov function  unknown control gain  Nussbaum-type function
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