THE L2-CONTROL PROBLEM FOR TIME-VARYING DISCRETE-SYSTEMS

被引：9
|
作者：
IONESCU, V
WEISS, M
机构：
[1] INST POLYTECH GH GHEORGHIU DEJ,DEPT AUTOMAT CONTROL,R-77206 BUCHAREST,ROMANIA
[2] RES INST INFORMAT,BUCHAREST,ROMANIA
来源：
SYSTEMS & CONTROL LETTERS | 1992年 / 18卷 / 05期
关键词：
DISCRETE TIME-VARYING SYSTEM; L2-OPTIMIZATION; RICCATI EQUATION; L2-SEMINORM; DUAL SYSTEM;
D O I：
10.1016/0167-6911(92)90027-P
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 deals with the l2-problem for time-varying discrete systems. The problem considered is a deterministic counterpart of the well-known LQG problem. An adequate l2-seminorm for linear bounded input-output operators is introduced in order to express the optimality criterion. The solution is obtained by successively reducing the original problem to simpler ones putting in evidence the Separation Principle of the optimal controller.
引用
收藏
页码：371 / 381
页数：11
相关论文
共 50 条
  • [11] Stabilization of Discrete Time-Varying Systems by Output Control
    I. E. Zuber
    Automation and Remote Control, 2002, 63 : 421 - 432
  • [12] CONTROL ASPECTS OF LINEAR DISCRETE TIME-VARYING SYSTEMS
    ENGWERDA, JC
    INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (04) : 1631 - 1658
  • [13] Robust adaptive control for discrete time-varying systems
    Yin, B
    Feng, CB
    PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 3724 - 3725
  • [14] The Reliable Stabilization Problem for Discrete Time-Varying Linear Systems
    Yu, Tianqiu
    EUROPEAN JOURNAL OF CONTROL, 2012, 18 (02) : 133 - 140
  • [15] Discrete Time L1 Adaptive Control for Systems with Time-varying Parameters and Disturbances
    Elnaggar, Mahmoud
    Saad, Mohamed S.
    Fattah, Hossam Abdel
    Elshafei, Abdel Latif
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 2115 - 2120
  • [16] An entropy formula for time-varying discrete-time control systems
    Iglesias, PA
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (05) : 1691 - 1706
  • [17] Minimum entropy control for discrete-time time-varying systems
    Peters, MA
    Iglesias, PA
    AUTOMATICA, 1997, 33 (04) : 591 - 605
  • [18] Adaptive Control for Discrete-Time Systems with Time-Varying Delay
    Han Cunwu
    Sun Dehui
    Bi Song
    MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY, 2014, 556-562 : 2289 - 2292
  • [19] Overlapping LQ control of discrete-time time-varying systems
    Bakule, L
    Rodellar, J
    Rossell, JM
    LARGE SCALE SYSTEMS: THEORY AND APPLICATIONS 2001 (LSS'01), 2001, : 389 - 394
  • [20] Minimax control for discrete-time time-varying stochastic systems
    Guo, XP
    Yu, W
    Li, XO
    AUTOMATICA, 2002, 38 (11) : 1991 - 1998
12345