Functional observer-based fault detection of time-delay systems via an LMI approach

Tran, H. M., Trinh, H. and Nam, P. T. 2015, Functional observer-based fault detection of time-delay systems via an LMI approach, in AUCC 2015 : Proceedings of the Australian Control Conference 2015, IEEE, Piscataway, N.J., pp. 194-199.

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Title Functional observer-based fault detection of time-delay systems via an LMI approach
Author(s) Tran, H. M.
Trinh, H.ORCID iD for Trinh, H.
Nam, P. T.
Conference name Australian Control. Conference (5th : 2015 : Gold Coast, Qld.)
Conference location Gold Coast, Qld
Conference dates 5-6 Nov. 2015
Title of proceedings AUCC 2015 : Proceedings of the Australian Control Conference 2015
Editor(s) Lees, Michael
Publication date 2015
Conference series Australian Control Conference
Start page 194
End page 199
Total pages 6
Publisher IEEE
Place of publication Piscataway, N.J.
Keyword(s) Fault detection
Linear matrix inequalities
Matrix algebra
Time delay
Existence conditions
Fault detection schemes
Functional observer
Generalised Sylvester matrix equasion
Residual generator
Stabilizability conditions
Time delay observers
Time-delay systems
Engineering main heading
Delay control systems
Summary This paper presents a novel residual generator that uses minimum-order functional observers to trigger actuator and component faults in time-delay systems. We first present a fault detection scheme and derive existence conditions of the residual generator and functional observer. The observer and residual parameters are then systematically determined via solving some coupled generalized Sylvester matrix equations. To deal with the time-delay issue, a stabilizability condition expressed in terms of linear matrix inequality (LMI) is derived to ensure the time-delay observer error system converges to zero with a prescribed convergence rate. Our design approach has the advantage that the designed fault detection scheme has lower order than existing results in the literature. Two numerical examples are given to illustrate the effectiveness of our results.
ISBN 9781922107695
Language eng
Field of Research 080602 Computer-Human Interaction
010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2015, IEEE
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