Stabilization of discrete-time linear systems with infinite distributed input delays

被引：3
|
作者：
Guo, Yige [1 ,2 ]
Xu, Xiang [3 ]
Liu, Lu [2 ]
Wang, Yong [1 ]
Feng, Gang [2 ]
机构：
[1] Univ Sci & Technol China, Dept Automation, Hefei 230026, Peoples R China
[2] City Univ Hong Kong, Dept Biomed Engn, Kowloon, Hong Kong, Peoples R China
[3] Southern Univ Sci & Technol, Dept Elect & Elect Engn, Shenzhen, Peoples R China
来源：
AUTOMATICA | 2023年 / 148卷
关键词：
Discrete-time systems; Infinite delays; Distributed input delays; Stabilization; FUNCTIONAL DIFFERENCE-EQUATIONS; STABILITY ANALYSIS; PREDICTOR FEEDBACK; GLOBAL STABILITY; EQUIVALENCE; RAZUMIKHIN; NETWORKS; BEHAVIOR;
D O I：
10.1016/j.automatica.2022.110786
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 stabilization problem of discrete-time linear systems with infinite dis-tributed input delays. A novel framework is adopted to analyze the stability of the concerned systems. Under this framework, two truncated predictor feedback controllers are developed for two classes of discrete-time linear systems with infinite distributed input delays via the low gain method respectively. It is shown that under the designed controllers, those two classes systems are globally exponentially stable. To the best of our knowledge, this is the first time that the stabilization problem of discrete-time linear systems with infinite distributed input delays is considered. Two simulation examples are provided to illustrate the effectiveness of the proposed controllers. (c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Robust H∞ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delays
    Wei, Guoliang
    Feng, Gang
    Wang, Zidong
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (01) : 224 - 232
  • [32] Global Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Time Delay
    Yang, Xuefei
    Zhou, Bin
    Mazenc, Frederic
    Lam, James
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (03) : 1345 - 1352
  • [33] Quantized feedback stabilization of linear discrete-time systems with state/input constraints
    Wang, Lili
    Zanma, Tadanao
    Yamamoto, Yusuke
    Ishida, Muneaki
    2010 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, 2010, : 2338 - 2343
  • [34] Optimal tracking for Discrete-Time Systems with Input Delays
    Wang, Hai-Hong
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4033 - 4037
  • [35] Positivity and stabilization of fractional discrete-time systems with delays
    Kaczorek, Tadeusz
    2009 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-3, 2009, : 1163 - 1167
  • [36] Resilient feedback stabilization of discrete-time systems with delays
    Mahmoud, Magdi S.
    Boukas, El-Kebir
    Shi, Peng
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (02) : 141 - 156
  • [37] Robust stabilization of uncertain nonlinear systems with infinite distributed input delays *
    Zhou, Qianghui
    Liu, Lu
    Feng, Gang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (12): : 7958 - 7976
  • [38] Stabilization of Linear Discrete-time Systems With Multiple Input and Output Delays by Observer-based Delayed Output Feedback
    Xu, Chuanchuan
    Luo, Weiwei
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1325 - 1330
  • [39] Stabilization and Exponential Estimation of Linear Discrete-Time Systems with Input and State Delays Base on a Novel Controller Design Approach
    Li, Haifang
    Wang, Xin
    Xue, Yu
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 5212 - 5216
  • [40] Stabilization of Discrete-Time Switched Linear Systems
    Zhu Yanli
    Sun Yuangong
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1488 - 1492
12345