Model Predictive Control for Discrete-time Linear Systems with Finite-time Convergence

被引:0
|
作者
Zhu, Bing [1 ,2 ]
Zuo, Zongyu [1 ,2 ]
Ding, Zhengtao [3 ]
机构
[1] Beihang Univ, Seventh Res Div, Beijing 100191, Peoples R China
[2] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
[3] Univ Manchester, Dept Elect & Elect Engn, Sackville St Bldg, Manchester M13 9PL, Lancs, England
基金
中国国家自然科学基金;
关键词
Model predictive control; finite-time convergence; linear systems; discrete-time systems; OUTPUT DEADBEAT CONTROL; STABILIZATION; STABILITY; TRACKING;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a model predictive control (MPC) approach with finite-time convergence is proposed for constrained discrete-time linear systems. The proposed MPC is constructed based on a criterion of finite-time convergence for discrete-time linear systems, where its Lyapunov function decreases with a rate greater than that of exponential convergence. In the finite-time MPC, the cost function is designed particularly by using the proposed finite-time criterion. Recursive feasibility of optimization and stability of the closed-loop system can be proved within the classical MPC framework.
引用
收藏
页码:3531 / 3536
页数:6
相关论文
共 50 条
  • [1] Finite-time control of discrete-time linear systems
    Amato, F
    Ariola, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) : 724 - 729
  • [2] Finite-Time Stabilization for Constrained Discrete-time Systems by Using Model Predictive Control
    Bing Zhu
    Xiaozhuoer Yuan
    Li Dai
    Zhiwen Qiang
    [J]. IEEE/CAA Journal of Automatica Sinica, 2024, 11 (07) : 1656 - 1666
  • [3] Finite-Time Stabilization for Constrained Discrete-time Systems by Using Model Predictive Control
    Zhu, Bing
    Yuan, Xiaozhuoer
    Dai, Li
    Qiang, Zhiwen
    [J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2024, 11 (07) : 1656 - 1666
  • [4] Finite-time self-triggered model predictive control of discrete-time Markov jump linear systems
    He, Peng
    Wen, Jiwei
    Luan, Xiaoli
    Liu, Fei
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (13) : 6166 - 6178
  • [5] Control of linear discrete-time systems over a finite-time interval
    Amato, F
    Ariola, M
    Carbone, M
    Cosentino, C
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 1284 - 1288
  • [6] Finite-Time Control for Linear Discrete-Time Systems with Input Constraints
    Ichihara, Hiroyuki
    Katayama, Hitoshi
    [J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 1171 - +
  • [7] Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems
    Liao, Fucheng
    Wu, Yingxue
    Yu, Xiao
    Deng, Jiamei
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [8] FINITE-TIME STABILITY OF LINEAR DISCRETE-TIME SYSTEMS
    WEISS, L
    LEE, JS
    [J]. REPORT OF NRL PROGRESS, 1971, (JAN): : 10 - +
  • [9] Finite-time Control of Discrete-time Stochastic Systems
    Zhang Weihai
    Wang Yi
    Sun Huiying
    Li Meng
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 1091 - 1096
  • [10] Finite-time control of discrete-time linear systems: Analysis and design conditions
    Amato, Francesco
    Ariola, Marco
    Cosentino, Carlo
    [J]. AUTOMATICA, 2010, 46 (05) : 919 - 924