Reduced-Order H∞ Filters for Uncertain 2-D Continuous Systems, Via LMIs and Polynomial Matrices

被引：0
|
作者：
Chakir El-Kasri
Abdelaziz Hmamed
Fernando Tadeo
机构：
[1] LESSI,Department of Physics, Faculty of Sciences Dhar El Mehraz
[2] University of Valladolid,Department of Systems Engineering and Automatic Control
来源：
Circuits, Systems, and Signal Processing | 2014年 / 33卷
关键词：
2-D Continuous systems; Uncertain systems; filtering; Linear matrix inequality (LMI);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with designing H∞ filters of reduced order for two dimensional (2-D) continuous systems described by Roesser models, with uncertain state space matrices. These filters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H∞ noise attenuation, by using homogeneous polynomially parameter-dependent matrices of arbitrary degree. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. Numerical examples are presented to illustrate the proposed methodology.
引用
下载
收藏
页码：1189 / 1214
页数：25
相关论文
共 50 条
  • [21] LINEAR OPTIMAL-CONTROL SYSTEMS USING REDUCED-ORDER OBSERVERS VIA POLYNOMIAL SERIES
    CHEN, CK
    YANG, CY
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1987, 18 (07) : 1355 - 1362
  • [22] On Design of Reduced-Order H∞ Filters for Discrete-Time Systems from Incomplete Measurements
    Zhou, Shaosheng
    Zheng, Wei Xing
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 1666 - 1671
  • [23] Robust H∞ Filter Design for Polytopic Linear Discrete-Time Delay Systems via LMIs and Polynomial Matrices
    Lacerda, Marcio J.
    Leite, Valter J. S.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 8225 - 8230
  • [24] Stabilization and H∞ control of uncertain 2-D discrete systems
    不详
    H(INFINITY) CONTROL AND FILTERING OF TWO-DIMENSIONAL SYSTEMS, 2002, 278 : 55 - 65
  • [25] New Approach to Stability Analysis for Uncertain 2-D Continuous Systems
    Kririm, Said
    Hmamed, Abdelaziz
    INTERNATIONAL JOURNAL OF ECOLOGY & DEVELOPMENT, 2015, 30 (02) : 11 - 19
  • [26] On the reduction of 2-D polynomial systems into first order equivalent models
    Antoniou, Efstathios
    Vologiannidis, Stavros
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 31 (01) : 249 - 268
  • [27] New design of robust H∞ filters for 2-D systems
    Gao, Huijun
    Meng, Xiangyu
    Chen, Tongwen
    IEEE SIGNAL PROCESSING LETTERS, 2008, 15 : 217 - 220
  • [28] On the reduction of 2-D polynomial systems into first order equivalent models
    Efstathios Antoniou
    Stavros Vologiannidis
    Multidimensional Systems and Signal Processing, 2020, 31 : 249 - 268
  • [29] Design of 2-D filters composed of low-order systems
    Saidi, A
    McClellan, JH
    2000 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS, VOLS I-VI, 2000, : 2159 - 2162
  • [30] Delayed finite-dimensional observer-based control of 1D parabolic PDEs via reduced-order LMIs?
    Katz, Rami
    Fridman, Emilia
    AUTOMATICA, 2022, 142
12345