Fault diagnosis for a class of descriptor linear parameter‐varying systems

Astorga‐Zaragoza, C.M.; Theilliol, Didier; Ponsart, Jean-Christophe; Rodrigues, Mickaël

doi:10.1002/acs.1259

Cited by 31 publications

(56 citation statements)

References 28 publications

(39 reference statements)

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“…The use of such Adaptive Polytopic Observer is motivated by the fact that, if a fault occurs, it is important to quickly detect and estimate it in order to preserve the system performance in spite of the presence of fault. Moreover, this APO is able to estimate timevarying fault which was neither possible with our previous paper [39] nor with [45]. Stability analysis and sufficient conditions are obtained with the use of Linear Matrix Inequality (LMI) under equality constraint.…”

Section: Introductionmentioning

confidence: 92%

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Observer-based fault tolerant control design for a class of LPV descriptor systems

Rodrigues

Hamdi

Braïek

et al. 2014

Journal of the Franklin Institute

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International audienceThis paper presents a new Fault Tolerant Control (FTC) methodology for a class of LPV descriptor systems that are represented under a polytopic LPV form. The aim of this FTC strategy is to compensate the effects of time-varying or constant actuator faults by designing an Adaptive Polytopic Observer (APO) which is able to estimate both the states of the system and the magnitude of the actuator faults. Based on the information provided by this APO, a new state feedback control law is derived in order to stabilize the system. Stability conditions of the designed observer and the state-feedback control are provided and solved through a set of Linear Matrix Inequalities (LMI) under equality constraints. The performance of the proposed Fault Tolerant Control scheme is illustrated using a two-phase flash system

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Section: Introductionmentioning

confidence: 92%

“…Some previous Fault Detection and Isolation (FDI) techniques presented in Astorga-Zaragoza et al [20,45] and in Hamdi et al [39] can only deal with constant faults for LPV descriptor systems.…”

Section: Introductionmentioning

confidence: 99%

Observer-based fault tolerant control design for a class of LPV descriptor systems

Rodrigues

Hamdi

Braïek

et al. 2014

Journal of the Franklin Institute

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“…Roughly speaking, the feature is to understand the overall system behavior by a set of local linear models scheduled by convex weighting functions. Taking the polytopic LPV representation, several attempts have been oriented to the diagnosis of nonlinear systems; see, for instance, [24][25][26][27][28]. More recently, [29] addresses the problem of simultaneous actuator and sensor faults estimation for the polytopic LPV systems.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Observers Based‐Simultaneous Actuator and Sensor Faults Estimation for Linear Parameter Varying Systems

Brahim

Dhahri

Hmida

et al. 2017

Mathematical Problems in Engineering

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This paper proposes a scheme to estimate actuator and sensor faults simultaneously for a class of linear parameter varying system expressed in polytopic structure where its parameters evolve in the hypercube domain. Transformed coordinate system design is adopted to decouple faults in actuators and sensors during the course of the system's operation coincidentally, and then two polytopic subsystems are constructed. The first subsystem includes the effect of actuator faults but is free from sensor faults and the second one is affected only by sensor faults. The main contribution is to conceive two polytopic sliding mode observers in order to estimate the system states and actuator and sensor faults at the same time. Meanwhile, in linear matrix inequality optimization formalism, sufficient conditions are derived with ∞ performances to guarantee the stability of estimation error and to minimize the effect of disturbances. Therefore, all parameters of observers can be designed by solving these conditions. Finally, simulation results are given to illustrate the effectiveness of the proposed simultaneous actuator and sensor faults estimation.

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“…The aim of this work is to develop a fault estimation method for discrete-time descriptor systems. To achieve this objective, at first a model transformation based on Astorga-Zaragoza et al (2012) is made to estimate simultaneously states and faults. In the second part of this paper, we propose a method for obtaining dynamical observers structure, with the simultaneous estimation of states and unknown inputs.…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis for discrete-time descriptor linear systems

et al. 2015

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This paper is concerned with the fault estimation for descriptor systems by using a new concept of dynamical observer. The advantage of this new concept is the observer structure, which is more general than the proportional-integral observer (PIO) and the proportional observer (PO). The main contribution of this work is the simultaneous estimation of state and fault, the last is considered as unknown input. Sufficient conditions for the stability of the proposed observer are given in a set of linear matrix inequalities (LMIs). A numerical example is given to show the applicability of the present approach.

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Fault diagnosis for a class of descriptor linear parameter‐varying systems

Cited by 31 publications

References 28 publications

Observer-based fault tolerant control design for a class of LPV descriptor systems

Observer-based fault tolerant control design for a class of LPV descriptor systems

Sliding Mode Observers Based‐Simultaneous Actuator and Sensor Faults Estimation for Linear Parameter Varying Systems

Fault diagnosis for discrete-time descriptor linear systems

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