Interval estimation of state and unknown input for linear discrete-time systems

被引：11
|
作者：
Li, Jitao [1 ]
Raissi, Tarek [2 ]
Wang, Zhenhua [1 ]
Wang, Xinsheng [3 ]
Shen, Yi [1 ]
机构：
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
[2] Conservatoire Natl Arts & Metiers CNAM, F-75141 Paris, France
[3] Harbin Inst Technol Weihai, Sch Informat & Elect Engn, Weihai 264209, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 13期
基金：
中国国家自然科学基金;
关键词：
ROBUST FAULT ESTIMATION; OBSERVER DESIGN; NONLINEAR-SYSTEMS; ZONOTOPES;
D O I：
10.1016/j.jfranklin.2020.06.021
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 paper addresses the problem of state and unknown input estimation for linear discrete-time systems subject to unknown but bounded process disturbance and measurement noise. The existing methods treat this problem based on coordinate transformation, which is complex and may incorporate some conservatism. Unlike the existing methods, we estimate the state and unknown input simultaneously based on an augmented approach. Then a novel observer structure and an L-infinity norm based approach are presented to obtain a tight interval of estimation. The viability and validity of the proposed method are demonstrated by numerical simulations. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：9045 / 9062
页数：18
相关论文
共 50 条
  • [1] State and unknown input estimation for linear discrete-time systems
    Floquet, Thierry
    Barbot, Jean-Pierre
    AUTOMATICA, 2006, 42 (11) : 1883 - 1889
  • [2] Deadbeat unknown-input state estimation and input reconstruction for linear discrete-time systems
    Ansari, Ahmad
    Bernstein, Dennis S.
    AUTOMATICA, 2019, 103 : 11 - 19
  • [3] 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
  • [4] Interval observer design for unknown input estimation of linear time-invariant discrete-time systems
    Robinson, Elinirina I.
    Marzat, Julien
    Raiessi, Tarek
    IFAC PAPERSONLINE, 2017, 50 (01): : 4021 - 4026
  • [5] Simultaneous Estimation of the State, Unknown Input, and Output Disturbance in Discrete-Time Linear Systems
    Alenezi, Badriah
    Zhang, Mukai
    Hui, Stefen
    Zak, Stanislaw H.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (12) : 6115 - 6122
  • [6] State Estimation for Linear Discrete-Time Systems with Unknown Input Using Nonparametric Technique
    Smagin, V.
    Koshkin, G.
    Udod, V.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL APPLICATIONS (CISIA 2015), 2015, 18 : 675 - 677
  • [7] On the Estimation of Unknown Input and Output Disturbances in Discrete-Time Linear Systems
    Alenezi, Badriah
    Zhang, Mukai
    Hui, Stefen
    Zak, Stanislaw H.
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 4014 - 4019
  • [8] Zonotopic unknown input state estimator for discrete-time linear systems
    Meslem, Nacim
    Hably, Ahmad
    Raissi, Tarek
    SYSTEMS & CONTROL LETTERS, 2022, 162
  • [9] Distributed input and state estimation for linear discrete-time systems
    Ashari, Alireza Esna
    Kibangou, Alain Y.
    Garin, Federica
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 782 - 787
  • [10] State and unknown input set-valued estimation for uncertain linear discrete-time systems
    Meslem, Nacim
    Hably, Ahmad
    Raissi, Tarek
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2023, 237 (04) : 571 - 584
12345