Parametrization Based Synthesis of Static Feedback Stabilizing Controllers for Uncertain Discrete Linear Repetitive Processes

被引：1
|
作者：
Pakshin, Pavel [1 ]
Galkowski, Krzysztof [2 ]
Sulikowski, Bartek [2 ]
Rogers, Eric [3 ]
机构：
[1] RE Alekseev Nizhny Novgorod State Tech Univ, Arzamas Polytech Inst, 19 Kalinina St, Arzamas 607227, Russia
[2] Univ Zeilona Gora, Inst Control & Computat, PL-65246 Zielona Gora, Poland
[3] Univ Southampton, Sch Elect & Comp Sci, Southampton SO17 1BJ, Hants, England
来源：
2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3 | 2009年
基金：
俄罗斯基础研究基金会;
关键词：
SYSTEMS;
D O I：
10.1109/CCA.2009.5280699
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper considers uncertain discrete-time linear repetitive processes described by a polytopic state-space model. Several parametrizations of the set of members in the class of (static) control laws that robustly stabilize these processes are developed. These are LQR, truncated LQR and stochastic parametrizations respectively. A numerical example which demonstrates the application one of the parametrizations to robust control synthesis is also given.
引用
收藏
页码：962 / +
页数：3
相关论文
共 50 条
  • [1] Stabilizing controllers design of discrete linear repetitive processes with time-delay
    Xu Jianming
    Yu Li
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 38 - +
  • [2] LMI based output feedback control of discrete linear repetitive processes
    Sulikowski, B
    Galkowski, K
    Rogers, E
    Owens, DH
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1998 - 2003
  • [3] The parametrization of all stabilizing multi-period repetitive controllers
    Yamada, K
    Satoh, K
    Arakawa, T
    ISAS/CITSA 2004: International Conference on Cybernetics and Information Technologies, Systems and Applications and 10th International Conference on Information Systems Analysis and Synthesis, Vol 2, Proceedings: COMMUNICATIONS, INFORMATION AND CONTROL SYSTEMS, TECHNOLOGIES AND APPLICATIONS, 2004, : 358 - 363
  • [4] A HISTORICAL PERSPECTIVE ON THE PARAMETRIZATION OF ALL STABILIZING FEEDBACK CONTROLLERS
    Aliev, F. A.
    Larin, B.
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2019, 18 (03) : 326 - 328
  • [5] Output feedback control of discrete linear repetitive processes
    Sulikowski, B
    Galkowski, K
    Rogers, E
    Owens, DH
    AUTOMATICA, 2004, 40 (12) : 2167 - 2173
  • [6] Stabilization of a class of uncertain "wave" discrete linear repetitive processes
    Galkowski, K.
    Cichy, B.
    Rogers, E.
    Lam, J.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 1437 - +
  • [7] H∞ static output-feedback controllers with past outputs for discrete-time uncertain linear systems
    Frezzatto, Luciano
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 2695 - 2700
  • [8] The parametrization of all stabilizing modified repetitive controllers with the specified frequency characteristics
    Satoh, K
    Yamada, K
    Arakawa, T
    Kowada, M
    ISAS/CITSA 2004: International Conference on Cybernetics and Information Technologies, Systems and Applications and 10th International Conference on Information Systems Analysis and Synthesis, Vol 2, Proceedings: COMMUNICATIONS, INFORMATION AND CONTROL SYSTEMS, TECHNOLOGIES AND APPLICATIONS, 2004, : 346 - 351
  • [9] The parametrization of all robust stabilizing multi-period repetitive controllers
    Satoh, Keiji
    Yamada, Kou
    Mei, Yeju
    Theoretical and Applied Mechanics Japan, 2006, 55 : 125 - 132
  • [10] Robust static output feedback control for linear repetitive processes
    Boski, Marcin
    Paszke, Wojciech
    2017 10TH INTERNATIONAL WORKSHOP ON MULTIDIMENSIONAL (ND) SYSTEMS (NDS), 2017,
12345