PIECEWISE OBSERVERS OF RECTANGULAR DISCRETE FUZZY DESCRIPTOR SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS

被引:5
|
作者
Fan, Hongbiao [1 ,2 ]
Feng, Jun-E [2 ]
Meng, Min [2 ]
机构
[1] Dezhou Univ, Sch Math Sci, Dezhou 253600, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
关键词
Fuzzy descriptor system; piecewise observer; piecewise Lyapunov function; time-varying delays; FEEDBACK CONTROL DESIGN; H-INFINITY CONTROL; DYNAMIC-SYSTEMS; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; STATE; STABILIZATION; IDENTIFICATION; MODEL;
D O I
10.3934/jimo.2016.12.1535
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates piecewise observer design for rectangular discrete fuzzy descriptor systems with multiple time-varying delays. Via a series of simple transformations, the considered rectangular descriptor plants are converted into standard ones with multiple time-varying delays. Then, two sufficient delay-dependent conditions for existence of piecewise fuzzy observers are derived based on piecewise Lyapunov functions. Finally, two numerical examples are presented to show the effectiveness of the theoretical results.
引用
收藏
页码:1535 / 1556
页数:22
相关论文
共 50 条
  • [41] Relaxed H∞ Stabilization Conditions for Discrete-Time Fuzzy Systems With Interval Time-Varying Delays
    Kim, Sung Hyun
    Park, PooGyeon
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (06) : 1441 - 1449
  • [42] State Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems with Time-Varying Delays
    Lei, Ting
    Song, Qiankun
    Liu, Yurong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [43] Discrete-Time Sliding-Mode Control of Uncertain Systems with Time-Varying Delays via Descriptor Approach
    Yan, Maode
    Mehr, Aryan Saadat
    Shi, Yang
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2008, 2008
  • [44] On the stability of uncertain systems with multiple time-varying delays
    Cheng-Shiu Junior Coll of Technology, and Commerce, Kaohsiung, Taiwan
    IEEE Trans Autom Control, 1 (101-105):
  • [45] Robust stabilization of discrete-time systems with time-varying delays
    Yu, M
    Wang, L
    Chu, TG
    ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 3435 - 3440
  • [46] Output regulation of discrete-time systems with time-varying delays
    Conte, Giuseppe
    Perdon, Anna Maria
    Zattoni, Elena
    Animobono, Davide
    2021 29TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2021, : 1293 - 1298
  • [47] On the stability of uncertain systems with multiple time-varying delays
    Sun, YJ
    Hsieh, JG
    Yang, HC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (01) : 101 - 105
  • [48] Controllability and observability of discrete time-varying fractional systems with delays
    Babiarz, Artur
    PROCEEDINGS OF THE 2016 17TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2016, : 7 - 11
  • [50] New Stability Criteria of Discrete Systems With Time-Varying Delays
    Liao, Daixi
    Zhong, Shouming
    Cheng, Jun
    Luo, Jinnan
    Zhang, Xiaojun
    Zhong, Qishui
    IEEE ACCESS, 2019, 7 : 1677 - 1684