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Robust fault detection for Takagi-Sugeno discrete models: Application for a three-tank system

by H. Ghorbel, M. Souissi, M. Chaabane, F. Tadeo
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 18
Year of Publication: 2012
Authors: H. Ghorbel, M. Souissi, M. Chaabane, F. Tadeo
10.5120/6360-6599

H. Ghorbel, M. Souissi, M. Chaabane, F. Tadeo . Robust fault detection for Takagi-Sugeno discrete models: Application for a three-tank system. International Journal of Computer Applications. 44, 18 ( April 2012), 1-7. DOI=10.5120/6360-6599

@article{ 10.5120/6360-6599,
author = { H. Ghorbel, M. Souissi, M. Chaabane, F. Tadeo },
title = { Robust fault detection for Takagi-Sugeno discrete models: Application for a three-tank system },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 18 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number18/6360-6599/ },
doi = { 10.5120/6360-6599 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:35:50.685015+05:30
%A H. Ghorbel
%A M. Souissi
%A M. Chaabane
%A F. Tadeo
%T Robust fault detection for Takagi-Sugeno discrete models: Application for a three-tank system
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 18
%P 1-7
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we present a fuzzy observer based on Takagi- Sugeno (TS) models, to estimate simultaneously the system state and the sensors faults of discrete time nonlinear systems. The method uses the technique of descriptor systems, by considering the sensor faults as auxiliary states variables. More precisely, This paper addresses the problem of index fault detection observer to ensure the sensitivity against the faults. The proposed method is based on the use of the Lyapunov theory to ensure the stability of the system. Necessary and sufficient conditions are obtained in terms of Linear Matrix Inequalities (LMIs), in order to determine the observer gains. An application of the fault estimation method on an hydraulic process with three tanks, using TS models is realized. Simulation and experimental results show the effectiveness of the proposed method.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Non Linear System Ts Fuzzy Model Descriptor Observer Sensor Fault Estimation Lmi Tanks System

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