Preview Repetitive Control for Linear Continuous-time System

被引：6
|
作者：
Li, Li [1 ,2 ]
Meng, Xiaohua [1 ,2 ]
Liao, Yonglong [3 ]
机构：
[1] Hubei Univ Econ, Sch Informat Management & Stat, Wuhan 430205, Peoples R China
[2] Hubei Univ Econ, Hubei Ctr Date & Anal, Wuhan 430205, Peoples R China
[3] Zhiyuan Coll, Beijing Inst Petrochem Technol, Beijing 102617, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2023年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Continuous-time system; output feedback; preview repetitive control; repetitive control; state feedback; 2D systems; DESIGN; SERVOMECHANISM; STATE;
D O I：
10.1007/s12555-021-0807-4
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 presents a preview repetitive control for linear continuous-time systems when a periodic reference signal is previewed. First, an augmented two-dimensional (2D) system is constructed by state augmentation technique and a 2D model approach. Then, the preview repetitive control laws are proposed for the augmented 2D system, which transforms the preview repetitive control problem into a stabilization problem. Using Lyapunov functions, sufficient conditions for asymptotic stability of the 2D continuous-discrete system are derived in the form of linear matrix inequalities (LMIs). The design of a preview repetitive controller is proposed through the LMI approach. Finally, the developed design techniques are applied to two examples. The simulation results demonstrate the validity of the proposed method.
引用
收藏
页码：508 / 518
页数：11
相关论文
共 50 条
  • [21] Continuous-Time Linear Parallel Control
    Wei, Qinglai
    Li, Hongyang
    Wang, Fei-Yue
    [J]. 2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, : 1605 - 1608
  • [22] Design of Preview Controller for Linear Continuous-time Systems with Input Delay
    Yonglong Liao
    Fucheng Liao
    [J]. International Journal of Control, Automation and Systems, 2018, 16 : 1080 - 1090
  • [23] H∞ tracking of linear continuous-time systems with stochastic uncertainties and preview
    Gershon, E
    Shaked, U
    Yaesh, I
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2004, 14 (07) : 607 - 626
  • [24] Design of Preview Controller for Linear Continuous-time Systems with Input Delay
    Liao, Yonglong
    Liao, Fucheng
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (03) : 1080 - 1090
  • [25] Applications of the preview control method to the optimal problem for linear continuous-time stochastic systems with time-delay
    Wu, Jiang
    Liao, Fucheng
    Tang, Yuan Yan
    [J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2016, 14 (06)
  • [26] Preview repetitive control for linear discrete-time periodic systems
    Li, Li
    Lu, Yanrong
    [J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2022, 36 (03) : 412 - 428
  • [27] Decentralized robust preview control for uncertain continuous-time interconnected systems
    Xie, Hao
    Liao, Fucheng
    Ye, Fangwen
    Sun, Manxin
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2023, 29 (7-8) : 1700 - 1712
  • [28] Preview control for impulse-free continuous-time descriptor systems
    Liao, Fucheng
    Ren, Zhenqin
    Tomizuka, Masayoshi
    Wu, Jiang
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (06) : 1142 - 1149
  • [29] Robust preview control of interconnected continuous-time systems with parametric uncertainties
    Xie, Hao
    Liao, Fucheng
    Ge, Shuzhi Sam
    [J]. APPLIED MATHEMATICAL MODELLING, 2023, 118 : 107 - 127
  • [30] When is a linear continuous-time system easy or hard to Control in Practice?
    Department of Information Physics and Computing, University of Tokyo, Japan
    不详
    [J]. Lect. Notes Control Inf. Sci., 2008, (111-124): : 111 - 124
12345