Regularization and robust control of uncertain singular discrete-time linear systems

被引：0
作者：
Ibrir, Salim [1 ]
机构：
[1] Concordia Univ, Dept Mech & Ind Engn, Montreal, PQ H3G 1M8, Canada
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2007年 / 24卷 / 01期
关键词：
singular systems; linear matrix inequalities; regularization; discrete-time systems; system theory;
D O I：
10.1093/imamci/dnl011
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
New sufficient linear matrix inequality (LMI) condition for regularization of singular discrete-time systems subject to norm-bounded uncertainties is given. Then a new class of feedback is proposed to stabilize singular uncertain discrete-time systems with unknown time delays. The regularization and the stabilizability condition of this class of systems is given in terms of one strict LMI. A numerical example is given to show the novelty of the control design.
引用
收藏
页码：71 / 80
页数：10
相关论文
共 18 条
  • [1] Boy S., 1994, Linear MatrixInequalities in System and Control Theory
  • [2] Feedback design for regularizing descriptor systems
    Bunse-Gerstner, A
    Byers, R
    Mehrmann, V
    Nichols, NK
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 299 (1-3) : 119 - 151
  • [3] Chu DL, 2000, J COMPUT MATH, V18, P43
  • [4] Minimum norm regularization of descriptor systems by mixed output feedback
    Chu, DL
    Mehrmann, V
    Nichols, NK
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 296 (1-3) : 39 - 77
  • [5] Dai L., 1989, SINGULAR CONTROL SYS, V118
  • [6] Memoryless H∞ controllers for discrete-time systems with time delay
    Kapila, V
    Haddad, WM
    [J]. AUTOMATICA, 1998, 34 (09) : 1141 - 1144
  • [7] Robust control for parameter uncertain delay systems in state and control input
    Kim, JH
    Jeung, BT
    Park, HB
    [J]. AUTOMATICA, 1996, 32 (09) : 1337 - 1339
  • [8] On Kalman's controllability and observability criteria for singular systems
    Koumboulis, FN
    Mertzios, BG
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1999, 18 (03) : 269 - 290
  • [9] A SURVEY OF LINEAR SINGULAR SYSTEMS
    LEWIS, FL
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1986, 5 (01) : 3 - 36
  • [10] LIE X, 1997, IEEE T AUTOMAT CONTR, V42, P1144
12