Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay

被引：23
|
作者：
Xiang, Zhengrong [1 ]
Wang, Ronghao [2 ]
Jiang, Bin [3 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[2] PLA Univ Sci & Technol, Engn Inst Engn Corps, Nanjing 210007, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2011年 / 30卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Time delay; Exponential stability; Discrete-time systems; Switched nonlinear systems; Nonfragile observer; LINEAR-SYSTEMS; STABILITY;
D O I：
10.1007/s00034-010-9210-8
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 investigates the problem of the nonfragile observer design for discrete-time switched nonlinear systems with time delay. Based on the average dwell-time approach and linear matrix inequality (LMI) techniques, an exponential stability criterion for the discrete-time switched delay system with Lipschitz nonlinearity is derived. Based on several technical lemmas, the discrete-time observer design can be transferred to the problem of solving a set of LMIs. Furthermore, in cases when the gain of the state observer varies, a kind of nonfragile observer is proposed, and the solution to the observer gain is also obtained by solving a set of LMIs. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：73 / 87
页数：15
相关论文
共 50 条
  • [1] Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay
    Zhengrong Xiang
    Ronghao Wang
    Bin Jiang
    Circuits, Systems, and Signal Processing, 2011, 30 : 73 - 87
  • [2] Asynchronous nonfragile H∞ filtering for discrete-time nonlinear switched systems with quantization
    Zheng, Qunxian
    Xu, Shengyuan
    Zhang, Zhengqiang
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 37
  • [3] Asynchronous nonfragile H∞ filtering for discrete-time nonlinear switched systems with quantization
    Zheng, Qunxian
    Xu, Shengyuan
    Zhang, Zhengqiang
    Zheng, Qunxian (zhengqx1103@163.com), 1600, Elsevier Ltd (37):
  • [4] Guaranteed cost observer for uncertain discrete-time switched systems with time-delay
    Zhang Ying
    Duan Guangren
    PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2, 2005, : 912 - 916
  • [5] OBSERVER DESIGN FOR A CLASS OF NONLINEAR DISCRETE-TIME SYSTEMS WITH TIME-DELAY
    Dong, Yali
    Liu, Jinying
    Met, Shengwei
    KYBERNETIKA, 2013, 49 (02) : 341 - 358
  • [6] Observer-based finite-time passive control of discrete-time switched nonlinear systems with time-delay
    Gholami, Hadi
    Shafiei, Mohammad Hossein
    Safarinejadian, Behrouz
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2022, 36 (06) : 1394 - 1418
  • [7] Nonfragile guaranteed cost control for nonlinear discrete-time systems with time-varying state delay
    Xie, Nan
    Tang, Gong-You
    2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 661 - +
  • [8] Finite-time H∞ control for discrete-time switched nonlinear systems with time delay
    Zong, Guangdeng
    Wang, Ruihua
    Zheng, Weixing
    Hou, Linlin
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (06) : 914 - 936
  • [9] Nonfragile H∞ Filtering for Discrete-Time Nonlinear Interconnected Systems
    Zhang, Liangliang
    Zhang, Hongbin
    IFAC PAPERSONLINE, 2016, 49 (05): : 25 - 30
  • [10] Robust observer design for Lipschitz nonlinear discrete-time systems with time-delay
    Lu, Guoping
    2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 991 - 995
12345