A Novel Approach to l2-l∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays

被引：0
|
作者：
Zhang, Xiaoyu [1 ]
Gong, Cheng [2 ]
Zeng, Zhen [3 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Nucl Sci & Technol, Harbin 150001, Peoples R China
[3] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
ROBUST H-INFINITY; STOCHASTIC-SYSTEMS; UNCERTAIN SYSTEMS; STABILIZATION; STABILITY;
D O I：
10.1155/2013/298268
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper investigates the l(2) - l(infinity) filtering problem of T-S fuzzy systems with multiple time-varying delays. First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition on l(2)-l(infinity) disturbance attenuation is presented, in which both stability and prescribed l(2)-l(infinity) performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependent l(2)-l(infinity) filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.
引用
收藏
页数：11
相关论文
共 50 条
  • [41] L∞ static output feedback control of T-S fuzzy systems with time-varying state delay
    College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    Zidonghua Xuebao/Acta Automatica Sinica, 2008, 34 (04): : 453 - 459
  • [42] New relaxed stability and stabilization conditions for T-S fuzzy systems with time-varying delays
    Zhou, Kun
    Wang, Binrui
    Qi, Shunan
    IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (14): : 1849 - 1867
  • [43] Stability analysis for T-S fuzzy systems with interval time-varying delays and nonlinear perturbations
    Li, Li
    Liu, Xiaodong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (14) : 1622 - 1636
  • [44] Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays
    Sun, Shaoxin
    Wang, Yingchun
    Zhang, Huaguang
    Sun, Jiayue
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
  • [45] H∞ Control for T-S Fuzzy Neutral Systems with Time-Varying Delays and Actuator Saturation
    Liu, Zhenwei
    Wang, Zhiliang
    Zhang, Huaguang
    Luo, Yanhong
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3093 - 3098
  • [46] Admissibility and stabilization of descriptor T-S fuzzy systems with two additive time-varying delays
    El-Jimi, Driss
    Chaibi, Noreddine
    Boumhidi, Ismail
    Charqi, Mohammed
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 11 (05) : 2438 - 2451
  • [47] Reduced-order l2-l∞ filtering for discrete-time T-S fuzzy systems with stochastic perturbation
    Peng, Tong
    Yang, Xiaozhan
    Wu, Ligang
    Pang, Baojun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (01) : 179 - 192
  • [48] Mixed L-/L1 fault detection filter design for fuzzy positive linear systems with time-varying delays
    Huang, Shipei
    Xiang, Zhengrong
    Karimi, Hamid Reza
    IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (12): : 1023 - 1031
  • [49] An improved H ∞ filter design for nonlinear systems described by T-S fuzzy models with time-varying delay
    Zhou T.
    He X.-Q.
    International Journal of Automation and Computing, 2015, 12 (06) : 671 - 678
  • [50] An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay
    Tuo Zhou
    Xi-Qin He
    International Journal of Automation and Computing, 2015, 12 (06) : 671 - 678
12345