Distributed Algorithm for Controllability Test of Discrete-time Linear Systems

被引:0
|
作者
Jiang, Xia [1 ]
Zeng, Xianlin [1 ]
Sun, Jian [1 ]
Chen, Jie [1 ]
机构
[1] Beijing Inst Technol, Beijing 100081, Peoples R China
来源
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年
基金
中国国家自然科学基金;
关键词
Distributed optimization; Controllability; Large-scale discrete-time systems; MULTIAGENT SYSTEMS; LYAPUNOV EQUATIONS; GRADIENT ALGORITHM; SMITH METHOD; CONSENSUS; OPTIMIZATION;
D O I
10.23919/chicc.2019.8865176
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 investigates the problem to test the controllability of large-scale discrete-time linear systems in a distributed way. The controllability Gramian is the solution of a discrete-time Lyapunov equation. All agents in the large-scale network system solve the discrete-time Lyapunov equation by exchange information with their neighbors. Every agent of the network has access to partial information of the system and has two dynamic estimation variables. A distributed discrete-time algorithm with a constant step size is proposed and a numerical simulation is carried out to verify the convergence property.
引用
收藏
页码:5600 / 5605
页数:6
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