Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information
Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information
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DOI：
10.1016/j.neucom.2015.03.019
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发表时间：
2015-10
期刊：
影响因子：
6
通讯作者：
Chao Song;Jinde Cao;Yangzheng Liu
中科院分区：
文献类型：
--
作者：
Chao Song;Jinde Cao;Yangzheng Liu
研究了具有正真实的不确定性的分数阶线性多智能体系统的鲁棒一致性问题，其中分数阶α满足0< α< 2.针对具有固定无向拓扑结构的多智能体系统，提出了一种基于二阶邻居信息的分布式协议。然后，得到了分数阶多智能体系统鲁棒一致性的新的基于LMI的充分条件，并据此确定了反馈矩阵。最后，数值仿真例子来证明所提出的方法的有效性。
This paper addresses the robust consensus problem of fractional-order linear multi-agent systems with positive real uncertainty where the fractional-order α satisfies 0< α< 2. For multi-agent systems with fixed undirected topology, a distributed protocol is proposed based on the information of second-order neighbors. Then, new LMI-based sufficient conditions for robust consensus of fractional-order multi-agent systems are obtained and the feedback matrix is also determined accordingly. Finally, numerical simulation examples are presented to demonstrate the effectiveness of the proposed approach.