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
相关论文
共 50 条
  • [41] Approximate Controllability of Abstract Discrete-Time Systems
    Hernán R. Henríquez
    Claudio Cuevas
    Advances in Difference Equations, 2010
  • [42] Reachability and controllability of discrete-time descriptor systems
    Karampetakis, Nicholas P.
    Gregoriadou, Anastasia
    INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (02) : 235 - 248
  • [43] CONTROLLABILITY OF A CLASS OF DISCRETE-TIME BILINEAR SYSTEMS
    EVANS, ME
    MURTHY, DNP
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) : 78 - 83
  • [44] Zero controllability in discrete-time structured systems
    van der Woude, Jacob
    2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 1851 - 1856
  • [45] Asymptotic Controllability of Discrete-time Systems with Disturbances
    Cai, Xiushan
    Lv, Ganyun
    Xu, Xiuling
    He, Xiuhui
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4189 - 4192
  • [46] CONTROLLABILITY OF DISCRETE-TIME INHOMOGENEOUS BILINEAR SYSTEMS
    EVANS, ME
    MURTHY, DNP
    AUTOMATICA, 1978, 14 (02) : 147 - 151
  • [47] Controllability for a class of discrete-time Hamiltonian systems
    Vaidya, U
    Mezic, I
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 1351 - 1356
  • [48] Remarks on Controllability of Discrete-time Bilinear Systems
    Tie, Lin
    Lin, Yan
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 1952 - 1955
  • [49] Approximate Controllability of Abstract Discrete-Time Systems
    Henriquez, Hernan R.
    Cuevas, Claudio
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [50] On global controllability of discrete-time control systems
    SanMartin, LAB
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1995, 8 (03) : 279 - 297
12345