Synchronization of Discrete-Time Multi-agent Systems on Graphs Using H2-Riccati Design

被引：0
|
作者：
Hengster-Movric, Kristian [1 ]
You, Keyou [2 ]
Lewis, Frank L. [1 ]
Xie, Lihua [2 ]
机构：
[1] Univ Texas Arlington, Automat & Robot Res Inst, 7300 Jack Newell Blvd S, Ft Worth, TX 76118 USA
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Ctr E City, EXQUISITUS, Singapore 639798, Singapore
来源：
2012 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA) | 2012年
关键词：
CONSENSUS; STABILIZATION; FEEDBACK; NETWORKS; OBSERVER; AGENTS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper design methods are given for synchronization control of discrete-time multi-agent systems on directed communication graphs. The graph properties complicate the design of synchronization controllers due to the interplay between the eigenvalues of the graph Laplacian matrix and the required stabilizing gains. A method is given herein, based on an H-2 type Riccati equation, that decouples the design of the synchronizing gains from the detailed graph properties. A condition for synchronization is given based on the relation of the graph eigenvalues to a bounded circular region in the complex plane that depends on the agent dynamics and the Riccati solution. This condition relates the Mahler measure of the node dynamics system matrix to the connectivity properties of the communication graph. The notion of 'synchronizing region' is used. An example shows the effectiveness of these design methods for achieving synchronization in cooperative discrete-time systems.
引用
收藏
页码：439 / 444
页数：6
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