A fixed-time observer for discrete-time singular systems with unknown inputs

被引：18
|
作者：
Zhang, Jiancheng [1 ]
Chadli, Mohammed [2 ]
Wang, Yan [3 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
[2] Univ Paris Saclay, IBISC Lab, 40 Rue Pelvoux, F-91020 Evry, France
[3] Jiangnan Univ, Sch IoT & Engn, Wuxi 214122, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 363卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Singular system; Discrete-time system; Fixed-time observer; Observer matching condition; Strongly observability condition; SLIDING MODE OBSERVER; DESCRIPTOR SYSTEMS; REDUCED-ORDER; FAULT ESTIMATION; LINEAR-SYSTEMS; SWITCHED SYSTEMS; DESIGN; STATE; RECONSTRUCTION; STABILITY;
D O I：
10.1016/j.amc.2019.124586
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the fixed-time observer (FTO) design for discrete-time singular systems subject to unknown inputs. Firstly, the observer matching condition (OMC) and the strongly observability condition (SOC) are given. Then, a new FTO design framework with a reduced-order is given which is free from the influences of the unknown inputs. It is proven that the SOC together with the OMC guarantees the existence of a FTO which is able to provide an exact state estimation in an arbitrarily pre-defined time step. Another advantage of the FTO is that both the estimation accuracy and the convergence time step can be guaranteed regardless of whatever the initial values of the observer are. Finally, a numerical simulation validates the effectiveness of the proposed result. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] 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
  • [2] Finite-time observer design for singular systems subject to unknown inputs
    Zhang, Jiancheng
    Chadli, Mohammed
    Zhu, Fanglai
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (14): : 2289 - 2299
  • [3] Finite Time Functional Observers for Discrete-time Singular Systems with Unknown Inputs
    Feng Jun-E
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 65 - 70
  • [4] Observers design for switched discrete-time singular time-delay systems with unknown inputs
    Lin, Jinxing
    Gao, Zhifeng
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 18 : 85 - 99
  • [5] Observer Design for Discrete-Time Switched Lipschitz Nonlinear Singular Systems with Time Delays and Unknown Inputs
    Lin, Jinxing
    PROCEEDINGS OF THE 2015 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL 1, 2016, 359 : 1 - 10
  • [6] Singular System Full-Order and Reduced-Order Fixed-Time Observer Design
    Zhang, Jiancheng
    Xu, Dezhi
    Li, Xiaohang
    Wang, Yan
    IEEE ACCESS, 2019, 7 : 112113 - 112119
  • [7] Fixed-time sliding mode-based observer for non-linear systems with unknown parameters and unknown inputs
    Langueh, Kokou A. A.
    Zheng, Gang
    Floquet, Thierry
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (14): : 1920 - 1927
  • [8] Optimal discrete-time unbiased filtering for systems with unknown inputs
    Darouach, Mohamed
    Fernando, Tyrone
    SYSTEMS & CONTROL LETTERS, 2022, 166
  • [9] FUNCTIONAL OBSERVERS DESIGN WITH UNKNOWN INPUTS FOR DELAYED SINGULAR SYSTEMS: THE DISCRETE-TIME CASE
    Khadhraoui, M.
    Ezzine, M.
    Messaoud, H.
    Darouach, M.
    2014 22ND MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2014, : 127 - 132
  • [10] Fixed-Time Input-to-State Stabilization of Discrete-Time Systems
    Mazenc, Frederic
    Malisoff, Michael
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2625 - 2630
12345