分数阶线性系统的一致性

2013 9th Asian Control Conference (ASCC) Pub Date : 2013-06-23 DOI:10.1109/ASCC.2013.6606402

Chao Song, Jinde Cao

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引用次数: 15

摘要

研究了一类具有有向交互拓扑的分数阶线性多智能体系统(MAS)在分数阶α满足0 <时的一致性控制问题;α<;2，将其转化为一组矩阵的稳定性。基于分数阶系统的稳定性理论，从线性矩阵不等式的角度给出了保证MAS一致性的几个充要条件，并据此确定了所提出协议的反馈矩阵。

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Consensus of fractional-order linear systems

This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0 <; α <; 2, by transforming it into the stability of a set of matrices. Based on the stability theory of fractional-order system, some sufficient and necessary conditions are presented to ensure the consensus of MAS in terms of linear matrix inequalities, and the feedback matrix of the proposed protocol is also determined accordingly.

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2013 9th Asian Control Conference (ASCC)

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