Simultaneous controller design for a class of time-varying linear systems

被引：0
|
作者：
Yu, Tianqiu [1 ]
Guo, Hongbo [2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Heilongjiang, Peoples R China
[2] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2014年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
simultaneous stabilization; controllers; time-varying linear systems; coprime factorizations; SIMULTANEOUS STABILIZATION; PLANTS;
D O I：
10.1093/imamci/dnt004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we establish the parametrization of simultaneously stabilizing controllers for a class of time-varying linear systems within the framework of nest algebras. A new approach to the simultaneous stabilization of three time-varying linear systems is also provided.
引用
收藏
页码：101 / 110
页数：10
相关论文
共 50 条
  • [21] Robust H∞ Controller Design for a Class of Linear Systems with Time-varying Delayed State: an Improved LMI Approach
    夏红伟
    马广程
    王常虹
    航空学报, 2007, (S1) : 131 - 135
  • [22] The strongly simultaneous stabilization of linear time-varying systems
    Liu, L. (beth.liu@yahoo.com.cn), 1600, ICIC Express Letters Office, Tokai University, Kumamoto Campus, 9-1-1, Toroku, Kumamoto, 862-8652, Japan (07):
  • [23] Best Linear Time-Varying Approximation of a General Class of Nonlinear Time-Varying Systems
    Hallemans, Noel
    Pintelon, Rik
    Van Gheem, Els
    Collet, Thomas
    Claessens, Raf
    Wouters, Benny
    Ramharter, Kristof
    Hubin, Annick
    Lataire, John
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2021, 70
  • [24] Robust memoryless H-infinity controller design for a class of time-varying uncertain linear time-delay systems
    Su, HY
    Wang, JC
    Yu, L
    Chu, J
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3662 - 3663
  • [25] Observers design for linear time-varying systems
    Boutayeb, M
    Darouach, M
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3183 - 3187
  • [26] DESIGN OF LINEAR TIME-VARYING TRACKING SYSTEMS
    KACZOREK, T
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1976, 24 (04): : 295 - 299
  • [27] H∞ controller design for discrete-time linear systems with time-varying delays in state
    Kim, KT
    Cho, SH
    Kim, JK
    Park, HB
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1446 - 1447
  • [28] DESIGN OF SUBOPTIMAL LINEAR TIME-VARYING SYSTEMS
    KLEINMAN, DL
    ATHANS, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (02) : 150 - &
  • [29] Finite-time stability of linear time-varying systems with jumps: Analysis and controller design
    Amato, F.
    Ambrosino, R.
    Ariola, M.
    Calabrese, F.
    Cosentino, C.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1638 - +
  • [30] DESIGN OF LINEAR TIME-VARYING TRACKING SYSTEMS
    ADAMOWICZ, Z
    PAWLOWSKI, K
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (01) : 45 - 52
12345