Data-Driven Finite-Time Control for Discrete-Time Linear Time-Invariant Systems

被引:0
|
作者
Li, Jinjiang [1 ,2 ]
Liu, Tao [1 ,2 ]
Liu, Tengfei [3 ]
机构
[1] Univ Hong Kong HKU, Dept Elect & Elect Engn, Hong Kong, Peoples R China
[2] HKU Shenzhen Inst Res & Innovat, Shenzhen, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang, Peoples R China
基金
中国国家自然科学基金;
关键词
STABILITY; ROBUST;
D O I
10.1109/CDC49753.2023.10383737
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 data-driven finite-time control (FTC) problem of unknown discrete-time linear time-invariant (LTI) systems with unknown and bounded noise. The proposed FTC aims to guarantee that the state of such a system does not exceed a given bound over a finite time interval under bounded initial conditions. Data-dependent representations are built for the unknown system without and with noise from pre-collected input/state data, based on which a finite-time controller is designed. Sufficient conditions of finite-time stability/boundness of the closed-loop system without/with noise are derived. Compared with model-based FTC methods that strongly depend on some accurate system models, the proposed method is model-free and only relies on pre-collected data. Numerical simulations are performed to illustrate the effectiveness of the proposed scheme.
引用
收藏
页码:1595 / 1600
页数:6
相关论文
共 50 条
  • [41] Finite-time Control of Discrete-time Positive Linear Systems via Convex Optimization
    Zhao, Chengyan
    Ogura, Masaki
    Sugimoto, Kenji
    2020 59TH ANNUAL CONFERENCE OF THE SOCIETY OF INSTRUMENT AND CONTROL ENGINEERS OF JAPAN (SICE), 2020, : 1230 - 1235
  • [42] Finite-time stability of discrete-time systems
    Amato, F
    Carbone, M
    Ariola, M
    Cosentino, C
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1440 - 1444
  • [43] FINITE-TIME CONTROL OF LINEAR DISCRETE-TIME-SYSTEMS
    LIN, WS
    KUO, TS
    THALER, GJ
    INTERNATIONAL JOURNAL OF CONTROL, 1983, 37 (04) : 855 - 860
  • [44] Finite-time boundedness of discrete-time linear systems with exogenous disturbances
    College of Science, China Three Gorges University, Yichang 443002, China
    不详
    Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition), 2008, 36 (12): : 27 - 30
  • [45] Remark on "Finite-time filtering for discrete-time linear impulsive systems"
    Tong, Yunxu
    Wu, Baowei
    Liu, Lili
    Li, Xian
    SIGNAL PROCESSING, 2014, 94 : 531 - 534
  • [46] Finite-time H∞ Control for a Class of Discrete-time Linear System
    Wang, Kang
    Shen, Yanjun
    Liu, Wanhai
    Jiang, Qinghua
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 546 - +
  • [47] Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
    Wo, Songlin
    Han, Xiaoxin
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [48] Finite-time Stability of Discrete-time Switched Positive Linear Systems
    Wang Xuefei
    Wen Jiwei
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 4580 - 4583
  • [49] Data-driven control for discrete-time piecewise affine systems✩
    Wang, Meng
    Qiu, Jianbin
    Yan, Huaicheng
    Tian, Yongxiao
    Li, Zhichen
    AUTOMATICA, 2023, 155
  • [50] On Interval Observer Design for Time-Invariant Discrete-Time Systems
    Efimov, Denis
    Perruquetti, Wilfrid
    Raissi, Tarek
    Zolghadri, Ali
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 2651 - 2656