Distributed Optimal Control for Linear Multiagent Systems on General Digraphs

被引:64
作者
Zhang, Zhuo [1 ]
Yan, Weisheng [1 ]
Li, Huiping [1 ]
机构
[1] Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China
基金
中国国家自然科学基金;
关键词
Topology; Optimal control; Optimization; Laplace equations; Performance analysis; Indexes; Protocols; Cooperative control; distributed optimal control; linear quadratic regulator (LQR); multiagent systems (MASs); BIPARTITE CONSENSUS; DESIGN; AGENTS;
D O I
10.1109/TAC.2020.2974424
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article is concerned with the distributed optimal control of multiagent systems (MASs) with general linear dynamics. The cooperative tracking model consisting of multiple followers and one leader is constructed. Distributed optimal controllers are presented using the linear quadratic regulator, which guarantee the leader-following consensus of MASs and the optimization of global performance index. The global information of topology is unneeded for solutions of optimization equations. The topology graph is a general digraph, and the only requirement is that the digraph should contain a directed spanning tree. Numerical examples are finally reported to demonstrate the efficiency of presented approach.
引用
收藏
页码:322 / 328
页数:7
相关论文
共 28 条
[1]  
Andreson B. D. O., 1990, OPTIMAL CONTROL LINE
[2]   Optimal Linear-Consensus Algorithms: An LQR Perspective [J].
Cao, Yongcan ;
Ren, Wei .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03) :819-830
[3]   Distributed optimal control of multiple systems [J].
Dong, Wenjie .
INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (10) :2067-2079
[4]   Cooperative Optimal Control for Multi-Agent Systems on Directed Graph Topologies [J].
Hengster-Movric, Kristian ;
Lewis, Frank L. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) :769-774
[5]   Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].
Jadbabaie, A ;
Lin, J ;
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001
[6]  
Lancaster P., 1985, THEORY MATRICES APPL
[7]   Triggering and Control Codesign in Self-Triggered Model Predictive Control of Constrained Systems: With Guaranteed Performance [J].
Li, Huiping ;
Yan, Weisheng ;
Shi, Yang .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (11) :4008-4015
[8]   Receding horizon consensus of general linear multi-agent systems with input constraints: An inverse optimality approach [J].
Li, Huiping ;
Shi, Yang ;
Yan, Weisheng ;
Liu, Fuqiang .
AUTOMATICA, 2018, 91 :10-16
[9]  
Li Y., 2017, INT J CONTROL, V90, P137
[10]   Integral Sliding Mode Flight Controller Design for a Quadrotor and the Application in a Heterogeneous Multi-Agent System [J].
Mu, Bingxian ;
Zhang, Kunwu ;
Shi, Yang .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2017, 64 (12) :9389-9398