H ∞ consensus control for multi-agent systems with linear coupling dynamics and communication delays

H ∞ consensus control for multi-agent systems with linear coupling dynamics and communication delays
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DOI:
10.1080/00207721003768167
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发表时间:
2012-01
影响因子:
4.3
通讯作者:
Yang Liu;Y. Jia
Yang Liu;Y. Jia
中科院分区:
计算机科学4区
文献类型:
--
作者:
Yang Liu;Y. Jia

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本文研究了具有线性耦合动力学的自治智能体网络的一致性控制问题,并提出了一种分布式状态反馈协议。应用线性系统的H ∞理论,以线性矩阵不等式(LMI)的形式给出了多智能体系统在给定H ∞干扰衰减指标下一致性的时滞无关和时滞相关条件,并进一步求解了该协议的待定反馈矩阵.最后通过仿真实例验证了理论分析的正确性.
This article is devoted to the consensus control problem of a network of autonomous agents with linear coupling dynamics, subject to external disturbances and communication delays, and proposes a distributed state feedback protocol. By applying H ∞ theory of linear systems, delay-independent and -dependent conditions in terms of linear matrix inequalities (LMIs) are both derived to ensure consensus of the multi-agent system with a prescribed H ∞ disturbance attenuation index, and the undetermined feedback matrix of the proposed protocol is further solved accordingly. A simulation example is included to validate the theoretical results.