Distributed Cooperative Optimal Control for Multiagent Systems on Directed Graphs: An Inverse Optimal Approach

被引：282
作者：
Zhang, Huaguang [1 ,2 ]
Feng, Tao [1 ]
Yang, Guang-Hong [1 ,2 ]
Liang, Hongjing [1 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2015年 / 45卷 / 07期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
Asymptotic properties; consensus performance; convergence rate; damping rate; distributed consensus protocols; inverse optimality; NONLINEAR-SYSTEMS; TRACKING CONTROL; CONSENSUS; FEEDBACK; DESIGN; SYNCHRONIZATION; ALGORITHMS; ORDER;
D O I：
10.1109/TCYB.2014.2350511
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, the inverse optimal approach is employed to design distributed consensus protocols that guarantee consensus and global optimality with respect to some quadratic performance indexes for identical linear systems on a directed graph. The inverse optimal theory is developed by introducing the notion of partial stability. As a result, the necessary and sufficient conditions for inverse optimality are proposed. By means of the developed inverse optimal theory, the necessary and sufficient conditions are established for globally optimal cooperative control problems on directed graphs. Basic optimal cooperative design procedures are given based on asymptotic properties of the resulting optimal distributed consensus protocols, and the multiagent systems can reach desired consensus performance (convergence rate and damping rate) asymptotically. Finally, two examples are given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码：1315 / 1326
页数：12
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