H∞ control for a class of discrete-time singular systems via dynamic feedback controller

被引：20
|
作者：
Long, Shaohua [1 ]
Zhong, Shouming [2 ]
机构：
[1] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 58卷
关键词：
Discrete-time singular system; H-infinity control; Dynamic feedback control; Lyapunov functional; NETWORKED CONTROL; ADMISSIBILITY; RESET;
D O I：
10.1016/j.aml.2016.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the H-infinity control problem for a class of discrete-time singular systems. A dynamic feedback control scheme is considered in this paper, while few results in the existing literature employed it to study the Ho. control problem for the discrete-time singular systems. By using the Lyapunov functional method and the linear matrix inequality (LMI) approach, a sufficient condition for the existence of a dynamic feedback controller that guarantees the resulting closed-loop system to be admissible with given H-infinity performance index is derived. Finally, a numerical example is provided to show the effectiveness of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：110 / 118
页数：9
相关论文
共 50 条
  • [1] On State Feedback H∞ Control for Discrete-Time Singular Systems
    Feng, Yu
    Yagoubi, Mohamed
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (10) : 2674 - 2679
  • [2] Stochastic stabilization for a class of discrete-time singular systems with time-delay and Markovian jump parametes via dynamic feedback controller
    Long, Shaohua
    Wu, Yunlong
    Guan, Hongbo
    [J]. 2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 4176 - 4180
  • [3] Robust H∞ fuzzy control via dynamic output feedback for discrete-time systems
    Lo, JC
    Lin, YC
    [J]. PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOL 1 & 2, 2002, : 633 - 638
  • [4] H∞ Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation
    Kchaou, Mourad
    Jerbi, Houssem
    Ben Ali, Naim
    Alsaif, Haitham
    [J]. ACTUATORS, 2021, 10 (08)
  • [5] Quantized Feedback Control for Discrete-time Singular Systems
    Shen, Jiawei
    Lin, Jinxing
    Xiao, Min
    [J]. 2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 1303 - 1308
  • [6] Output Feedback Controller Design for Discrete-time Switched Singular Systems
    Mao Wang
    Yan-Ling Wei
    Jia Shi
    [J]. Journal of Harbin Institute of Technology(New series), 2013, (06) : 53 - 58
  • [7] Finite-time H∞ control for a class of discrete-time nonlinear singular systems
    Li, Meiqing
    Sun, Liying
    Yang, Renming
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13): : 5384 - 5393
  • [8] H∞ Control of Discrete-Time Switched Ito Stochastic Systems Via Dynamic Output Feedback
    Wu, Ligang
    Ho, Daniel W. C.
    [J]. 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1848 - 1853
  • [9] A dynamic delayed feedback controller for chaotic discrete-time systems
    Yamamoto, S
    Hino, T
    Ushio, T
    [J]. PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 3358 - 3359
  • [10] H∞ control for singular systems with interval time-varying delays via dynamic feedback controller
    Chen, Wenbin
    Zhuang, Guangming
    Gao, Fang
    Liu, Wei
    Xia, Weifeng
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (02): : 1106 - 1123
12345