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

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...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 124; p. 109274
Main Authors Nguyen, Cuong M., Tan, Chee Pin, Trinh, Hieu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2021
Subjects
[formula omitted] filtering
Fault estimation
Output delay
Sliding mode observer
Time-delay system
Sliding mode observer
Fault estimation
Output delay
Time-delay system
H∞ filtering
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Summary: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.
ISSN:0005-1098
DOI:10.1016/j.automatica.2020.109274