Fault diagnosis based on sliding mode observer for LPV descriptor systems

This paper considers the problem of fault detection and reconstruction of actuator faults for linear parameter varying descriptor systems. A polytopic sliding mode observer (PSMO) is constructed to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Suf...

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Veröffentlicht in:Asian journal of control 2019-01, Vol.21 (1), p.89-98
Hauptverfasser: Hamdi, Habib, Rodrigues, Mickael, Mechmeche, Chokri, Benhadj Braiek, Naceur
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container_title Asian journal of control
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creator Hamdi, Habib
Rodrigues, Mickael
Mechmeche, Chokri
Benhadj Braiek, Naceur
description This paper considers the problem of fault detection and reconstruction of actuator faults for linear parameter varying descriptor systems. A polytopic sliding mode observer (PSMO) is constructed to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Sufficient conditions for the existence and design algorithm of the proposed polytopic sliding mode observer are provided. In addition, the design of the PSMO is formulated in terms of linear matrix inequalities that can be suitably solved using convex optimization techniques. This PSMO can force the output estimation error to converge to zero in a finite time when the actuators faults are bounded through the reinjection of the output estimation error via a nonlinear switching term. The effectiveness of the design technique is illustrated through a simulation of an anaerobic bioreactor.
doi_str_mv 10.1002/asjc.2022
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subjects Actuators
Algorithms
Automatic
Automatic Control Engineering
Bioreactors
Computational geometry
Computer Science
Computer simulation
Convexity
Engineering Sciences
Fault detection
Fault diagnosis
Linear matrix inequalities
LPV descriptor systems
Mathematical analysis
Mathematical models
Matrix methods
Optimization
Optimization techniques
Reconstruction
Reinjection
Sliding mode control
sliding mode observer
title Fault diagnosis based on sliding mode observer for LPV descriptor systems
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