Distributed Design of Approximately Optimal Controller for Identical Discrete-Time Multi-Agent Systems

被引：3
|
作者：
Zhang Fangfang [1 ,2 ]
Wang Wei [2 ]
Zhang Huanshui [2 ]
机构：
[1] Zhengzhou Univ, Sch Elect Engn, Zhengzhou 450001, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2016年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Approximately optimal controller; centralized optimal control; distributed controller; multi-agent systems; CONSENSUS; ALGORITHM; AGENTS;
D O I：
10.1007/s11424-015-4201-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the distributed control of the LQR problem for discrete-time multi-agent systems. Distributed controllers are designed based on the solutions of centralized optimal control and the topological structure of the systems. Under mild conditions, it is shown that the distributed controller can approximate to the centralized optimal controller. Then the states of the closed-loop systems of the distributed control exponentially converge to the states of the closed-loop systems of the centralized optimal control. Some examples are given to show effectiveness of the proposed results.
引用
收藏
页码：629 / 641
页数：13
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