STABILIZABILITY OF LINEAR TIME-VARYING AND UNCERTAIN LINEAR-SYSTEMS

被引:30
|
作者
ROTEA, MA [1 ]
KHARGONEKAR, PP [1 ]
机构
[1] UNIV MINNESOTA,DEPT ELECT ENGN,MINNEAPOLIS,MN 55455
关键词
CONTROL SYSTEMS; TIME VARYING -- Mathematical Models;
D O I
10.1109/9.1325
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Feedback stabilization of linear time-varying and uncertain linear systems is considered. It is proved that given a stabilizing dynamic linear state-feedback controller, one can always construct a stabilizing nondynamic linear state-feedback controller. A similar result is shown for uncertain linear systems. A linear time-varying system can be stabilized by dynamic output feedback if and only if it admits a coprime factorization.
引用
收藏
页码:884 / 887
页数:4
相关论文
共 50 条
  • [41] Robust deterministic filtering for linear uncertain time-varying systems
    OsorioCordero, A
    Poznyak, AS
    Taksar, M
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2526 - 2530
  • [42] STABILIZABILITY AND STABLE-PROPER FACTORIZATIONS FOR LINEAR TIME-VARYING SYSTEMS.
    Poolla, Kameshwar
    Khargonekar, Pramod
    1600, (25):
  • [43] Reference Governor for Linear Uncertain Systems with Time-Varying Constraints
    Miguel, Castroviejo-Fernandez
    Ilya, Kolmanovsky
    IFAC PAPERSONLINE, 2024, 58 (18): : 250 - 256
  • [44] On the transient estimate for linear systems with time-varying uncertain parameters
    Blanchini, F
    Miani, S
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (07): : 592 - 596
  • [45] Robust stabilization of time-varying uncertain switched linear systems
    Xie, GM
    Wang, L
    2005 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL & 13TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1 AND 2, 2005, : 447 - 449
  • [46] Stability conditions for uncertain linear systems with time-varying delay
    Cao, Dengqing
    1997, (14):
  • [47] Reachable Set Computation for Uncertain Time-Varying Linear Systems
    Althoff, Matthias
    Le Guernic, Colas
    Krogh, Bruce H.
    HSCC 11: PROCEEDINGS OF THE 14TH INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2011, : 93 - 102
  • [48] ON THE ROBUST STABILIZABILITY OF UNCERTAIN LINEAR TIME-INVARIANT PLANTS USING NONLINEAR TIME-VARYING CONTROLLERS
    GEORGIOU, TT
    PASCOAL, AM
    KHARGONEKAR, PP
    AUTOMATICA, 1987, 23 (05) : 617 - 624
  • [49] Controllability and stabilizability of switched linear-systems
    Xie, GM
    Wang, L
    SYSTEMS & CONTROL LETTERS, 2003, 48 (02) : 135 - 155
  • [50] STABILIZABILITY OF AUTONOMOUS LINEAR-SYSTEMS WITH A DELAY
    GABELAYA, AG
    IVANENKO, VI
    ODARICH, ON
    AUTOMATION AND REMOTE CONTROL, 1976, 37 (08) : 1145 - 1150