A difference-algebraic interval observer design for perturbed discrete-time descriptor systems

被引:1
|
作者
Liu, Long-wen [1 ]
Xie, Wei [1 ,2 ,3 ]
Zhang, Lang-wen [1 ,4 ]
机构
[1] South China Univ Technol, Coll Automat Sci & Technol, Guangzhou 510641, Peoples R China
[2] Minist Educ, Key Lab Autonomous Syst & Networked Control, Guangzhou 510641, Peoples R China
[3] South China Univ Technol, Unmanned Aerial Vehicle Syst Engn Technol Res Ctr, Guangzhou 510641, Peoples R China
[4] Minist Educ, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
关键词
Difference-algebraic structure; Interval observer; Descriptor system; Triangular block transformation; ROBUST FAULT ESTIMATION; LPV SYSTEMS;
D O I
10.1016/j.ejcon.2022.100762
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 investigates a difference-algebraic (DA) interval observer (IO) design technique for perturbed discrete-time descriptor systems. The existence condition of the IO with a DA structure is first estab-lished, along with the canonical implementation of descriptor systems and its non-negativity criterion. Then, combined with such an IO, a triangular block transformation (TBT) is further introduced to reduce the universal IO design conservatism on cooperativity construction. Besides, the general and particular solutions to the TBT&DA-based IO are successively proposed not only to clearly show the available design parameters but also to achieve a convenient construction process. Three simulation results demonstrate the validity and superiority of the proposed methods. (c) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Functional Interval Observer for Discrete-Time Switched Descriptor Systems
    Huang, Jun
    Che, Haochi
    Raissi, Tarek
    Wang, Zhenhua
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (05) : 2497 - 2504
  • [2] Gain-scheduled control design for discrete-time nonlinear systems using difference-algebraic representations
    Reis, Gabriela L.
    Araujo, Rodrigo F.
    Torres, Leonardo A. B.
    Palhares, Reinaldo M.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (05) : 1542 - 1563
  • [3] Observer Design Method for Discrete-Time LPV Descriptor Systems
    Mellado Diaz, Cristofer
    Barbosa, Karina A.
    El Aiss, Hicham
    Rodriguez, Carlos
    Chavez, Hector
    [J]. 2021 IEEE IFAC INTERNATIONAL CONFERENCE ON AUTOMATION/XXIV CONGRESS OF THE CHILEAN ASSOCIATION OF AUTOMATIC CONTROL (IEEE IFAC ICA - ACCA2021), 2021,
  • [4] Observer design for discrete-time descriptor systems: An LMI approach
    Wang, Zhenhua
    Shen, Yi
    Zhang, Xiaolei
    Wang, Qiang
    [J]. SYSTEMS & CONTROL LETTERS, 2012, 61 (06) : 683 - 687
  • [5] Interval observer design for uncertain discrete-time linear systems
    Wang, Zhenhua
    Lim, Cheng-Chew
    Shen, Yi
    [J]. SYSTEMS & CONTROL LETTERS, 2018, 116 : 41 - 46
  • [6] Interval observer design for nonlinear discrete-time dynamic systems
    Zhirabok, Alexey
    Zuev, Alexander
    Filaretov, Vladimir
    [J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2024, 38 (06) : 2045 - 2055
  • [7] Interval Observer Design for Uncertain Discrete-time Polytopic Systems
    Sehli, Naima
    Ibn Taarit, Kaouther
    Raissi, Tarek
    Ksouri, Moufida
    [J]. PROCEEDINGS OF THE 2020 17TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD 2020), 2020, : 85 - 90
  • [8] Dissipative interval observer design for discrete-time nonlinear systems
    Aviles, Jesus D.
    Moreno, Jaime A.
    [J]. ASIAN JOURNAL OF CONTROL, 2020, 22 (04) : 1422 - 1436
  • [9] On Interval Observer Design for Time-Invariant Discrete-Time Systems
    Efimov, Denis
    Perruquetti, Wilfrid
    Raissi, Tarek
    Zolghadri, Ali
    [J]. 2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 2651 - 2656
  • [10] Stability robustness of discrete-time perturbed descriptor systems
    Chou, Jyh-Horng
    Liao, Wen-Hwei
    Horng, Ing-Rong
    [J]. IMA Journal of Mathematical Control and Information, 2000, 17 (03) : 257 - 263