Luenberger-like interval observer design for discrete-time descriptor linear system

被引:35
作者
Guo, Shenghui [1 ,2 ]
Jiang, Bin [2 ]
Zhu, Fanglai [3 ]
Wang, Zhenhua [4 ]
机构
[1] Suzhou Univ Sci & Technol, Coll Elect & Informat Engn, Suzhou 215009, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Jiangsu, Peoples R China
[3] Tongji Univ, Coll Elect & Informat Engn, Shanghai 201804, Peoples R China
[4] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Interval observer; Descriptor system; Luenberger-like observer; Discrete-time system; STATE ESTIMATION; FAULT-DETECTION; FILTER;
D O I
10.1016/j.sysconle.2019.02.005
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the problem of Luenberger-like interval observer design for discrete-time descriptor linear system is investigated. In the first place, two ways in which the original descriptor system is transformed into general systems are given and the detectability of the equivalent general systems is discussed in detail. A new equivalent general system construction is developed and we prove that the detectability can be kept under this new equivalent transformation. After this, based on the new equivalent general system, a Luenberger-like interval observer is proposed. Finally, two simulation examples are given to demonstrate the correctness and the effectiveness of the proposed interval observer. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:21 / 27
页数:7
相关论文
共 27 条
[1]  
Berger T., OBSERVABILITY LINEAR
[2]   H-/H∞ fault detection filter for a class of nonlinear descriptor systems [J].
Boulkroune, Boulaid ;
Halabi, Souheil ;
Zemouche, Ali .
INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (02) :253-262
[3]   A novel approach to unknown input filter design for discrete-time linear systems [J].
Charandabi, Behnam Allahverdi ;
Marquez, Horacio J. .
AUTOMATICA, 2014, 50 (11) :2835-2839
[4]   State and input estimation for a class of uncertain systems [J].
Corless, M ;
Tu, J .
AUTOMATICA, 1998, 34 (06) :757-764
[5]   DESIGN OF OBSERVERS FOR DESCRIPTOR SYSTEMS [J].
DAROUACH, M ;
BOUTAYEB, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (07) :1323-1327
[6]  
Dinh T. N., 2017, POSITIVE SYSTEMS, P53
[7]   Interval observer design for estimation and control of time-delay descriptor systems [J].
Efimov, Denis ;
Polyakov, Andrey ;
Richard, Jean-Pierre .
EUROPEAN JOURNAL OF CONTROL, 2015, 23 :26-35
[8]   Interval Observers for Time-Varying Discrete-Time Systems [J].
Efimov, Denis ;
Perruquetti, Wilfrid ;
Raissi, Tarek ;
Zolghadri, Ali .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (12) :3218-3224
[9]   Reduced-order switched UIO design for switched discrete-time descriptor systems [J].
Guo, Shenghui ;
Zhu, Fanglai ;
Jiang, Bin .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 30 :240-255
[10]   Actuator fault detection and interval reconstruction based on interval observers [J].
Guo, Shenghui ;
Zhu, Fanglai .
IFAC PAPERSONLINE, 2017, 50 (01) :5061-5066