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
  • [1] FUNCTIONAL OBSERVERS DESIGN FOR NONLINEAR DISCRETE-TIME SYSTEMS WITH INTERVAL TIME-VARYING DELAYS
    Dong, Yali
    Chen, Laijun
    Me, Shengwei
    KYBERNETIKA, 2019, 55 (02) : 367 - 384
  • [2] 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
  • [3] Design of interval observers for estimation and stabilization of discrete-time LPV systems
    Efimov, Denis
    Raissi, Tarek
    Perruquetti, Wilfrid
    Zolghadri, Ali
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (04) : 1051 - 1066
  • [4] Fault Detection and Diagnosis for a class of Linear Time-Varying (LTV) Discrete-Time Uncertain Systems using Interval Observers
    Yi, Zeren
    Xie, Wei
    Khan, Awais
    Xu, Bugong
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 4124 - 4128
  • [5] Unknown input interval observers for discrete-time linear switched systems
    Marouani, Ghassen
    Dinh, Thach Ngoc
    Raissi, Tarek
    Wang, Xin
    Messaoud, Hassani
    EUROPEAN JOURNAL OF CONTROL, 2021, 59 : 165 - 174
  • [6] Adaptive Control for Discrete-Time Systems with Time-Varying Delay
    Han Cunwu
    Sun Dehui
    Bi Song
    MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY, 2014, 556-562 : 2289 - 2292
  • [7] Constructions of Interval Observers for Discrete-time Systems of Luenberger type
    Mazenc, Frederic
    Thach Ngoc Dinh
    Niculescu, Silviu-Iulian
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 2478 - 2483
  • [8] On Fixed-Time Interval Estimation of Discrete-Time Nonlinear Time-Varying Systems With Disturbances
    Thach Ngoc Dinh
    Mazenc, Frederic
    Wang, Zhenhua
    Raissi, Tarek
    2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 2605 - 2610
  • [9] Stability analysis and observer design for discrete-time systems with interval time-varying delay
    Dong, Yali
    Chen, Laijun
    Mei, Shengwei
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (02) : 340 - 358
  • [10] Stability Radii-Based Interval Observers for Discrete-Time Nonlinear Systems
    Aviles, Jesus D.
    Moreno, Jaime A.
    Davila, Jorge A.
    Becerra, Guillermo
    Flores, Francisco
    Chavez, Carlos A.
    Marquez, Claudia
    IEEE ACCESS, 2022, 10 : 3216 - 3227
12345