Observer Design for Discrete-time Switched Positive Systems with Time-varying Delays

被引:0
|
作者
Cai, Mingjie [1 ]
Xiang, Zhengrong [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源
2012 1ST INTERNATIONAL CONFERENCE ON SYSTEMS AND COMPUTER SCIENCE (ICSCS) | 2012年
基金
中国国家自然科学基金;
关键词
switched positive system; time-varying delay; exponential stability; multiple co-positive Lyapunov function; Lyapunov-Krasovskii function; average dwell time (ADT); linear matrix inequality(LMI); COPOSITIVE LYAPUNOV FUNCTIONS; STABILITY ANALYSIS;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper investigates the design problem of exponential positive observer for a class of discrete-time switched positive linear systems with time-varying delay. A sufficient exponential stability criterion is proposed in terms of linear matrix inequalities (LMIs) for the underlying system under average dwell time switching. Then, based on the stability results, sufficient conditions for the existence of exponential positive observers are established. A numerical example is given to show the effectiveness of the proposed results.
引用
收藏
页数:6
相关论文
共 50 条
  • [41] Reachable Set Estimation for Singular Discrete-Time Nonlinear Systems With Time-Varying Delays
    Vu, Le Huy
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (03) : 843 - 857
  • [42] Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
    Seuret, Alexandre
    Gouaisbaut, Frederic
    Fridman, Emilia
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) : 2740 - 2745
  • [43] Robust Exponential Filtering for Discrete-Time Switched Fuzzy Systems with Time-Varying Delay
    Wang, Gang
    Xie, Rongqiang
    Zhang, Hongbin
    Yu, Guanjie
    Dang, Chuangyin
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (01) : 117 - 138
  • [44] Stability Analysis of Discrete-Time Cone-Preserving Systems With Time-Varying Delays
    Zhu, Bohao
    Lam, James
    Lu, Xiujuan
    Kwok, Ka-Wai
    IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 3181 - 3186
  • [45] Functional observer for switched discrete-time singular systems with time delays and unknown inputs
    Lin, Jinxing
    Shi, Yang
    Gao, Zhifeng
    Ding, Jie
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) : 2146 - 2156
  • [46] Exponential State Estimator Design for Discrete-Time Neural Networks with Discrete and Distributed Time-Varying Delays
    Duan, Qihui
    Park, Ju H.
    Wu, Zheng-Guang
    COMPLEXITY, 2014, 20 (01) : 38 - 48
  • [47] Robust stability of uncertain discrete-time switched systems with time-varying delay by Wirtinger Inequality via a switching signal design
    Mohammed, Charqi
    Noreddine, Chaibi
    El Houssaine, Tissir
    2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 525 - 532
  • [48] Positive l1 observer design for positive switched systems with time-varying delays via delta operator approach
    Li, Shuo
    Xiang, Zhengrong
    Karimi, Hamid Reza
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 299 - 304
  • [49] Robust global controller design for discrete-time descriptor systems with multiple time-varying delays
    Mobayen, Saleh
    Bayat, Farhad
    Omidvar, Hossein
    Fekih, Afef
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2809 - 2831
  • [50] H∞ dynamic observer design for a class of Lipschitz nonlinear discrete-time systems with time varying delays
    Naami, Ghali
    Ouahi, Mohamed
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2024, 45 (02) : 893 - 914