L2 - L∞ Filtering For a Class T-S Fuzzy Discrete Systems Under Stochastic Perturbation

被引:0
|
作者
Zoulagh, T. [1 ]
Boukili, B. [1 ]
Hmamed, A. [1 ]
El Hajjaji, A. [2 ]
机构
[1] LESSI, Dept Phys, Fac Sci Dhar El Mehraz, BP 1796, Fes, Morocco
[2] Univ Picardie Jules Verne, Lab Modelisat Informat & Syst, 7 Rue Moulin Neuf, F-80000 Amiens, France
来源
2017 14TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD) | 2017年
关键词
L-2-L-infinity filtering; Takagi-Sugeno (T-S) fuzzy systems; stochastic systems; slack variables; Linear matrix inequalities (LMIs); H-INFINITY; TIME; DESIGN;
D O I
暂无
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 work tackles the L-2 - L-infinity filter design problem for the discrete-time Takagi-Sugeno (T-S) fuzzy stochastic systems. The approach based on the (T-S) fuzzy systems, and the objective is to provide a new design with sufficient condition via LMI procedure. Less conservative results are obtained through the use of the projection lemma to introduce additional free matrices. These tools allow to obtain a full-order filter design with extra degree of freedom in order to optimize the L-2-L-infinity performance. At the end, several examples are used to illustrate the efficiency of the proposed approach.
引用
收藏
页码:268 / 273
页数:6
相关论文
共 50 条
  • [41] Non-weighted L2 gain and asynchronous H∞ control for continuous-time switched T-S fuzzy systems
    Liu, Can
    Li, Yang
    Zheng, Qunxian
    Zhang, Hongbin
    ISA TRANSACTIONS, 2020, 103 : 228 - 236
  • [42] L2-L∞ Filtering for Nonlinear Stochastic Systems
    Wu Aiguo
    Zhang Ying
    Duan Guangren
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 801 - 805
  • [43] L2-L∞ filtering for nonlinear stochastic systems
    Wu, Ai-Guo
    Liu, Xiaona
    Zhang, Ying
    Asian Journal of Control, 2012, 14 (06): : 1676 - 1682
  • [44] L2-L∞ FILTERING FOR NONLINEAR STOCHASTIC SYSTEMS
    Wu, Ai-Guo
    Liu, Xiaona
    Zhang, Ying
    ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1676 - 1682
  • [45] Robust L2 - L∞ Filter Design for Stochastic Systems
    Wang, Chunjiao
    Luo, Xiaoyuan
    Guan, Xinping
    2015 5TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST), 2015, : 25 - 30
  • [46] Dissipativity analysis on switched uncertain nonlinear T-S fuzzy Systems with stochastic perturbation and time delay
    Sun, Jiayue
    Zhang, Huaguang
    Wang, Yingchun
    Sun, Shaoxin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (18): : 13410 - 13429
  • [47] H∞ control for 2-D T-S fuzzy FMII model with stochastic perturbation
    Li, Xiaofeng
    Wang, Weiqun
    Li, Lizhen
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (04) : 609 - 624
  • [48] H∞ filtering for discrete-time 2D T-S fuzzy systems with finite frequency disturbances
    Duan, Zhaoxia
    Shen, Jian
    Ghous, Imran
    Fu, Jinna
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (13): : 1983 - 1994
  • [49] L2 - L∞ filtering for stochastic time-varying delay systems based on the Bessel-Legendre stochastic inequality
    Gong, Cheng
    Zhu, Guopu
    Shi, Peng
    SIGNAL PROCESSING, 2018, 145 : 26 - 36
  • [50] A relaxed stability criterion for T-S fuzzy discrete systems
    Wang, WJ
    Sun, CH
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (05): : 2155 - 2158