Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays

Cuong M. Nguyen; Chee Pin Tan; Hieu Trinh

doi:10.1016/j.automatica.2020.109274

Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays

Cuong M. Nguyen, Chee Pin Tan, Hieu Trinh

Malaysia Sch of Engineering

Research output: Contribution to journal › Article › Research › peer-review

31 Citations (Scopus)

Abstract

In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H_∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H_∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result.

Original language	English
Article number	109274
Number of pages	5
Journal	Automatica
Volume	124
DOIs	https://doi.org/10.1016/j.automatica.2020.109274
Publication status	Published - Feb 2021

Keywords

Fault estimation
H filtering
Output delay
Sliding mode observer
Time-delay system

Access to Document

10.1016/j.automatica.2020.109274

Cite this

@article{2b36df9e7cf346fa963a9bf718861a93,

title = "Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays",

abstract = "In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result.",

keywords = "Fault estimation, H filtering, Output delay, Sliding mode observer, Time-delay system",

author = "Nguyen, {Cuong M.} and Tan, {Chee Pin} and Hieu Trinh",

note = "Funding Information: C.P. Tan was supported by the Ministry of Higher Education Malaysia under the Fundamental Research Grant Scheme (FRGS) grant number FRGS/1/2017/STG06/ MUSM/02/1 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Maria Letizia Corradini under the direction of Editor Andr{\'e} L. Tits. Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2021",

month = feb,

doi = "10.1016/j.automatica.2020.109274",

language = "English",

volume = "124",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier",

}

TY - JOUR

T1 - Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays

AU - Nguyen, Cuong M.

AU - Tan, Chee Pin

AU - Trinh, Hieu

N1 - Funding Information: C.P. Tan was supported by the Ministry of Higher Education Malaysia under the Fundamental Research Grant Scheme (FRGS) grant number FRGS/1/2017/STG06/ MUSM/02/1 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Maria Letizia Corradini under the direction of Editor André L. Tits. Publisher Copyright: © 2020 Elsevier Ltd Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/2

Y1 - 2021/2

N2 - In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result.

AB - In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result.

KW - Fault estimation

KW - H filtering

KW - Output delay

KW - Sliding mode observer

KW - Time-delay system

UR - http://www.scopus.com/inward/record.url?scp=85091604910&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2020.109274

DO - 10.1016/j.automatica.2020.109274

M3 - Article

AN - SCOPUS:85091604910

SN - 0005-1098

VL - 124

JO - Automatica

JF - Automatica

M1 - 109274

ER -

Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays

Abstract

Keywords

Access to Document

Other files and links

Development of observer schemes for soft robotic systems to achieve state estimation, and fault detection

Cite this

Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays

Abstract

Keywords

Access to Document

Other files and links

Projects

Development of observer schemes for soft robotic systems to achieve state estimation, and fault detection

Cite this