Interval Observers for Time-Varying Discrete-Time Systems

被引：150
|
作者：
Efimov, Denis [1 ]
Perruquetti, Wilfrid [1 ]
Raissi, Tarek [2 ]
Zolghadri, Ali [3 ]
机构：
[1] INRIA LNE, F-59650 Villeneuve Dascq, France
[2] Conservatoire Natl Arts & Metiers, F-75141 Paris, France
[3] Univ Bordeaux, IMS Lab, Automat Control Grp, F-33405 Talence, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 12期
关键词：
Discrete-time systems; observers; state estimation; STATE ESTIMATION; LPV SYSTEMS; NONLINEAR-SYSTEMS; UNCERTAINTY; PARAMETERS; MATRICES;
D O I：
10.1109/TAC.2013.2263936
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This techical note deals with interval state observer design for time-varying discrete-time systems. The problem of a similarity transformation computation which connects a (time-varying) matrix and its nonnegative representation is studied. Three solutions are proposed: for a generic time-varying system, a system with positive state, and for a particular class of periodical systems. Numerical simulations are provided to demonstrate advantages of the developed techniques.
引用
收藏
页码：3218 / 3224
页数：7
相关论文
共 50 条
  • [21] Admissibility Analysis and Control for Discrete-Time Singular Systems with Interval Time-Varying Delay
    Lee, Ching-Min
    Cheng, Chun-An
    IFAC PAPERSONLINE, 2023, 56 (02): : 9173 - 9178
  • [22] H∞ Synchronization for a Class of Discrete-Time Nonlinear Systems with Interval Time-Varying Delays
    Chen Haiyang
    Liu Meiqin
    Fan Zhen
    Zhang Senlin
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4234 - 4239
  • [23] Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
    Phat, V. N.
    Ratchagit, K.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (04) : 605 - 612
  • [24] STABILIZABILITY AND DETECTABILITY OF DISCRETE-TIME TIME-VARYING SYSTEMS
    ENGWERDA, JC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (04) : 425 - 428
  • [25] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
  • [26] Inclusion principle for discrete-time time-varying systems
    Stankovic, SS
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2004, 11 (2-3): : 321 - 338
  • [27] Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances
    Zhao, Jiemei
    Sheng, Yin
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2016, 2016 (2016)
  • [28] Delay-Partitioning Approach to Stability of Discrete-Time Systems with Interval Time-Varying Delay
    Lee Li
    Tsai Hsing-Jen
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1493 - 1498
  • [29] Delay Distribution Dependent Stability Criteria for Discrete-Time Systems with Interval Time-Varying Delay
    Xiao, Nan
    Jia, Yingmin
    Matsuno, Fumitoshi
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 1733 - 1738
  • [30] Research on Delay-independent Stability for Discrete-time Interval Systems with Time-varying Delay
    Chen, Fangxin
    Hu, Yahui
    Wang, Weijiang
    Lei, Jun
    2015 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, 2015, : 145 - 150
12345