Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems

被引：1
|
作者：
Liao, Fucheng [1 ,2 ]
Wu, Yingxue [1 ,2 ]
Yu, Xiao [1 ,2 ]
Deng, Jiamei [3 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Informat & Comp Sci, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing Key Lab Magnetophotoelect Composite & Int, Beijing 100083, Peoples R China
[3] Leeds Beckett Univ, Sch Comp Creat Technol & Engn, Leeds LS6 3QS, W Yorkshire, England
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2018年 / 2018卷
基金：
国家重点研发计划;
关键词：
STABILITY;
D O I：
10.1155/2018/7017135
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Finite-time control of discrete-time linear systems
    Amato, F
    Ariola, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) : 724 - 729
  • [2] Finite-time control for a class of linear discrete-time systems
    College of Science, Three Gorges University, Yichang 443002, China
    Kongzhi yu Juece Control Decis, 2008, 1 (107-109+113):
  • [3] Finite-time preview tracking control for uncertain discrete-time systems
    Li L.
    Yu X.
    Kongzhi yu Juece/Control and Decision, 2022, 37 (03): : 753 - 762
  • [4] Finite-Time Control for Linear Discrete-Time Systems with Input Constraints
    Ichihara, Hiroyuki
    Katayama, Hitoshi
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 1171 - +
  • [5] Control of linear discrete-time systems over a finite-time interval
    Amato, F
    Ariola, M
    Carbone, M
    Cosentino, C
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 1284 - 1288
  • [6] FINITE-TIME STABILITY OF LINEAR DISCRETE-TIME SYSTEMS
    WEISS, L
    LEE, JS
    REPORT OF NRL PROGRESS, 1971, (JAN): : 10 - +
  • [7] Finite-Time Trajectory Tracking Control of a Class of Nonlinear Discrete-Time Systems
    Wang, Zhuo
    Lu, Renquan
    Wang, Hong
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (07): : 1679 - 1687
  • [8] Robust and resilient finite-time bounded control of discrete-time uncertain nonlinear systems
    ElBsat, Mohammad N.
    Yaz, Edwin E.
    AUTOMATICA, 2013, 49 (07) : 2292 - 2296
  • [9] Robust finite-time bounded control for discrete-time stochastic systems with communication constraint
    Song, Jun
    Niu, Yugang
    Zou, Yuanyuan
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (13): : 2015 - 2021
  • [10] Finite-Time Stability and H ∞ Control of Linear Discrete-Time Delay Systems with Norm-Bounded Disturbances
    Tuan L.A.
    Phat V.N.
    Acta Mathematica Vietnamica, 2016, 41 (3) : 481 - 493
12345