Consensus of fractional-order heterogeneous multi-agent systems
Consensus of fractional-order heterogeneous multi-agent systems
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DOI：
10.1049/iet-cta.2012.0511
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发表时间：
2013-01
影响因子：
2.6
通讯作者：
Xiuxia Yin;D. Yue;Songlin Hu
中科院分区：
文献类型：
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作者：
Xiuxia Yin;D. Yue;Songlin Hu
研究了一组分数阶异构智能体的一致性协议设计问题，该智能体由两类动力学不同的智能体组成，分数阶α满足0 < α < 2.分别为这两类智能体构造了分布式状态反馈一致性协议。基于Kronecker乘积技术和分数阶稳定性理论，以线性矩阵不等式（LMI）的形式给出了保证异构多智能体系统一致性的充分条件.这些问题可以通过Matlab中的LMI工具箱进行数值求解。最后，通过仿真实例验证了理论结果的有效性.
This study is devoted to the consensus protocols design for a set of fractional-order heterogeneous agents, which is composed of two kinds of agents differed by their dynamics and the fractional-order α satisfies 0 < α < 2. Distributed state feedback consensus protocols are constructed for the two kinds of agents, respectively. Based on the Kronecker product technique and the fractional-order stability theory, sufficient conditions are derived to ensure the consensus of heterogeneous multi-agent systems in terms of linear matrix inequalities (LMIs). These can be solved numerically by LMI toolbox in Matlab. Finally, a simulation example is employed to validate the effectiveness of the theoretical results.