Robust mixed H2/H∞ filtering of 2-D systems

被引:92
|
作者
Tuan, HD [1 ]
Apkarian, P
Nguyen, TQ
Narikiyo, T
机构
[1] Toyota Technol Inst, Dept Elect & Comp Engn, Nagoya, Aichi, Japan
[2] CERT, ONERA, Toulouse, France
[3] Univ Calif San Diego, Dept Elect & Comp Engn, La Jolla, CA 92093 USA
关键词
linear matrix inequality (LMI); robust filtering; 2-D system;
D O I
10.1109/TSP.2002.1011215
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the W and H-2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust H-infinity , H-2 and robust mixed H-2/H-infinity filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples.
引用
收藏
页码:1759 / 1771
页数:13
相关论文
共 50 条
  • [1] Robust mixed generalized H2/H∞ filtering of 2-D nonlinear fractional transformation systems
    Hoang, NT
    Tuan, HD
    Nguyen, TQ
    Hosoe, S
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (12) : 4697 - 4706
  • [2] Robust H∞ Filtering for 2-D Systems with Intermittent Measurements
    Xiuming Liu
    Huijun Gao
    Peng Shi
    Circuits, Systems & Signal Processing, 2009, 28 : 283 - 303
  • [3] Robust mixed H2/H∞ filtering for time-delay fuzzy systems
    Lin, Yu-Cheng
    Lo, Ji-Chang
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (08) : 2897 - 2909
  • [4] Robust H2 and H∞ filtering for uncertain linear systems
    Duan, Zhisheng
    Zhang, Jingxin
    Zhangc, Cishen
    Mosca, Edoardo
    AUTOMATICA, 2006, 42 (11) : 1919 - 1926
  • [5] Robust H az Filtering for 2-D Systems with Intermittent Measurements
    Liu, Xiuming
    Gao, Huijun
    Shi, Peng
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (02) : 283 - 303
  • [6] Robust mixed H2/H∞ filtering for discrete-time delay fuzzy systems
    Lin, YC
    Lo, JC
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (15) : 993 - 1006
  • [7] ROBUST H infinity FILTERING FOR UNCERTAIN 2-D CONTINUOUS SYSTEMS WITH DELAYS
    Hmamed, Abdelaziz
    El Kasri, Chakir
    Tissir, El Haoussi
    Alvarez, Teresa
    Tadeo, Fernando
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2013, 9 (05): : 2167 - 2183
  • [8] H2 optimal robust filtering
    Geromel, JC
    Regis, LAV
    EUROPEAN JOURNAL OF CONTROL, 2006, 12 (01) : 30 - 39
  • [9] H∞ Filtering of 2-D Systems with Packet Losses
    Liu Xiuming
    Gao Huijun
    Shi Peng
    Wang Yuandao
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 7, 2008, : 428 - +
  • [10] Robust H2/H∞ filtering for linear systems with error variance constraints
    Wang, ZD
    Huang, B
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (08) : 2463 - 2467