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H∞ CONTROL OF NETWORKED MULTI-AGENT SYSTEMS

ISSN号：1009-6124
期刊名称：《系统科学与复杂性学报：英文版》
时间：0
分类：TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
作者机构：[1]State Key Lab for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China.
相关基金：This research is supported by the Natural Science Foundation of China under Grants Nos. 10832006 and 60674093.

作者： Zhongkui LI Zhisheng DUAN Lin HUANG[1]

关键词：多AGENT系统, 控制网络, 线性矩阵不等式, 自治代理, 传递函数矩阵, 外部干扰, 代理人, 协调控制, Coordination control, graph theory, H∞ control, linear matrix inequality （LMI）, pinning control.

中文摘要：

这篇论文使在一组自治代理人题目的协作控制产生到外部骚乱的骚乱拒绝问题担心。代理人网络被说拥有骚乱拒绝的需要的水平，如果它到控制输出的从骚乱的转移函数矩阵的 H _∞ 标准是令人满意地小的。未受指导的图被用来在代理人之中代表信息流动拓扑学。一个代理人网络的骚乱拒绝问题能被分析其尺寸等于一个单个节点的一套独立系统的 H _∞ 控制问题解决，这被显示出。有趣的结果是经由在代理人之间的仅仅相对的大小的反馈联合的整个代理人网络的骚乱拒绝能力决不会比一个孤立的代理人的好。改进这，本地反馈注射在网络被用于代理人的小部分。为可能的表演改进的一些标准以线性矩阵不平等被导出。最后，对盒子的扩展通讯时间延期什么时候存在，也被讨论。

英文摘要：

This paper concerns the disturbance rejection problem arising in the coordination control of a group of autonomous agents subject to external disturbances. The agent network is said to possess a desired level of disturbance rejection, if the H∞ norm of its transfer function matrix from the disturbance to the controlled output is satisfactorily small. Undirected graph is used to represent the information flow topology among agents. It is shown that the disturbance rejection problem of an agent network can be solved by analyzing the H∞ control problem of a set of independent systems whose dimensions are equal to that of a single node. An interesting result is that the disturbance rejection ability of the whole agent network coupled via feedback of merely relative measurements between agents will never be better than that of an isolated agent. To improve this, local feedback injections are applied to a small fraction of tile agents in the network. Some criteria for possible performance improvement are derived in terms of linear matrix inequalities. Finally, extensions to the case when communication time delays exist are also discussed.

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