| 基于输出反馈的分数阶奇异线性多智能体系统领导者-跟随一致性 |
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| 引用本文： | 潘欢,胡钢墩,薛丽.基于输出反馈的分数阶奇异线性多智能体系统领导者-跟随一致性[J].南京气象学院学报,2018,10(4):422-427. |
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| 作者姓名： | 潘欢 胡钢墩 薛丽 |
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| 作者单位： | 宁夏大学 物理与电子电气工程学院, 银川, 750021;宁夏沙漠信息智能感知重点实验室, 银川, 750021;宁夏电力能源安全重点实验室, 银川, 750004,宁夏大学 物理与电子电气工程学院, 银川, 750021;宁夏沙漠信息智能感知重点实验室, 银川, 750021;宁夏电力能源安全重点实验室, 银川, 750004,宁夏大学 物理与电子电气工程学院, 银川, 750021;宁夏沙漠信息智能感知重点实验室, 银川, 750021;宁夏电力能源安全重点实验室, 银川, 750004 |
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| 基金项目： | 国家自然科学基金（61403219，61463043）；宁夏大学博士启动基金（BQD2014014） |
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| 摘 要： | 本文主要开展多智能系统领导者-跟随一致性分析，其中每个智能体的动态性能描述为分数阶奇异线性系统.基于系统的输出信息，设计一个输出反馈的控制协议.通过有效的证明，推导出多智能体系统领导者-跟随一致性的充分条件.采用奇异值分解（SVD）技巧，可将一致性条件进一步转换为易于求解的线性矩阵不等式.当通信拓扑图假设为无向连通图时，一致性条件可以简化为相对简单的多个线性矩阵不等式.最后给出一个实例，演示如何求取反馈增益，通过仿真图可以发现本文结果正确、有效.
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| 关 键 词： | 多智能体系统 分数阶系统 领导者-跟随一致性 奇异值分解(SVD) 图论 线性矩阵不等式 |
| 收稿时间： | 2018/4/15 0:00:00 |
Leader-following consensus of fractional-order singular linear multi-agent systems based on output feedback |
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| PAN Huan,HU Gangdun and XUE Li.Leader-following consensus of fractional-order singular linear multi-agent systems based on output feedback[J].Journal of Nanjing Institute of Meteorology,2018,10(4):422-427. |
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| Authors: | PAN Huan HU Gangdun and XUE Li |
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| Institution: | School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021;Ningxia Key Laboratory of Intelligent Sensing for Desert Information, Yinchuan 750021;Ningxia Key Laboratory of Electrical Energy Security, Yinchuan 750004,School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021;Ningxia Key Laboratory of Intelligent Sensing for Desert Information, Yinchuan 750021;Ningxia Key Laboratory of Electrical Energy Security, Yinchuan 750004 and School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021;Ningxia Key Laboratory of Intelligent Sensing for Desert Information, Yinchuan 750021;Ningxia Key Laboratory of Electrical Energy Security, Yinchuan 750004 |
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| Abstract: | The leader-following consensus of multi-agent systems is analyzed,where the dynamic of each agent is modeled by a fractional-order singular linear system in this paper.A new control protocol is designed based on the information of outputs.A sufficient condition of leader-following consensus is derived through some proof.Furthermore,the consensus condition is expressed by LMI via singular value decomposition technique (SVD).When the communication topology is assumed to be an undirected graph,the consensus condition is simplified as several simple LMIs.A simulation example is given to show how to solve feedback gain.It can be seen that the results in the paper are correct and effective from the pictures. |
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| Keywords: | multi-agent systems fractional-order systems leader-following consensus singular value decomposition (SVD) graph LMIs |
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