基于连续时间模型的多智能体系统采样数据一致性

张协衍; 章兢

doi:10.3724/SP.J.1004.2014.02549

基于连续时间模型的多智能体系统采样数据一致性

doi: 10.3724/SP.J.1004.2014.02549

张协衍,
章兢

1.
湖南大学电气与信息工程学院长沙 410082

基金项目:

Supported by National Natural Science Foundation of China (61174140) and Hunan Provincial Innovation Foundation for Postgraduate (CX2011B157)

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出版历程
- 收稿日期: 2013-06-21
- 修回日期: 2013-10-08
- 刊出日期: 2014-11-20

Sampled-data Consensus of Multi-agent Systems with General Linear Dynamics Based on a Continuous-time Model

1.
College of Electrical and Information Engineering, Hunan University, Changsha 410082, China

Funds:

Supported by National Natural Science Foundation of China (61174140) and Hunan Provincial Innovation Foundation for Postgraduate (CX2011B157)

摘要

摘要: 讨论了一般线性模型的多智能体系统具有时变采样间隔的采样数据一致性问题.首先基于连续时间模型,利用采样数据的离散时间特性分析时变采样间隔允许的上界.由于不考虑采样间隔之间的状态,Lyapunov函数仅需要在每个采样时刻保证递减.由此得到了一个利用线性矩阵不等式求解更低保守性的时变采样间隔上界的方法.接着通过参数化矩阵变量得到了基于线性矩阵不等式的控制器设计方法.最后数值仿真展示了理论结果的正确性.
- 多智能体系统 /
- 采样数据一致性 /
- 时变采样间隔 /
- Lyapunov定理 /
- 连续时间模型
Abstract: This paper discusses the sampled-data consensus problem of multi-agent systems with general linear dynamics and timevarying sampling intervals. To investigate the allowable upper bound of sampling intervals, we employ the property of discretization of sampled-data to identify the upper bound on the variable sampling intervals via a continuous-time model. Without considering the states in the sampling intervals, the decrease of Lyapunov function is guaranteed only at each sampling time. Consequently, it results in a more robust sampling interval which is obtained by verifying the feasibility of LMIs. Subsequently, provided a limited matrix variable, the control gain matrix K is solved by the LMI approach. Numerical simulations are provided to demonstrate the effectiveness of theoretical results.
- Multi-agent systems /
- sampled-data consensus /
- time-varying sampling intervals /
- Lyapunov theorem /
- continuous-time model

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参考文献(26)

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