Reach control problem for affine multi-agent systems on simplices

被引：16
作者：
Wu, Yuhu [1 ,2 ]
Xia, Weiguo [1 ,2 ]
Cao, Ming [3 ]
Sun, Xi-Ming [1 ,2 ]
机构：
[1] Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian, Peoples R China
[2] Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China
[3] Univ Groningen, Fac Sci & Engn, ENTEG, Groningen, Netherlands
来源：
AUTOMATICA | 2019年 / 107卷
基金：
欧洲研究理事会; 中国国家自然科学基金;
关键词：
Reach control problem; Affine control; Multi-agent systems; Simplex; Exit facets; SYNCHRONIZATION; REACHABILITY; NETWORKS;
D O I：
10.1016/j.automatica.2019.05.052
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 paper studies the reach control problem for a coupled affine multi-agent system, which aims to find an affine feedback control for the trajectories of the agents to reach and exit a particular facet of a given simplex in the state space in finite time. The interactions between agents characterized by diffusive coupling prevent the effective construction of controller using the well developed techniques to study similar problems for affine single-agent systems. In fact, the affine feedback control designed for a single affine system may not work for the multi-agent case anymore as some agent can be driven to exit the simplex through a restricted facet under the influence from its coupled peers. A sufficient condition is developed to guarantee that all the agents move continuously in a cone containing the simplex and exit through the exit facets in finite time under an affine feedback control. A numerical example is given to verify the effectiveness of our derived result. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：264 / 271
页数：8
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