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

页码：5600 / 5605

页数：6

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