Markov jump linear systems find application in many areas including economics, fault-tolerant control, and networked control. Despite significant attention paid to Markov jump linear systems in the literature, few authors have investigated Markov jump linear systems with time-inhomogeneous Markov chains (Markov chains with time-varying transition probabilities), and even fewer authors have considered time-inhomogeneous Markov chains with a priori unknown transition probabilities. This dissertation provides a formal stability and disturbance attenuation analysis for a Markov jump linear system where the underlying Markov chain is characterized by an a priori unknown sequence of transition probability matrices that assumes one of finitely-many values at each time instant. Necessary and sufficient conditions for uniform stochastic stability and uniform stochastic disturbance attenuation are reported. In both cases, conditions are expressed as a set of finite-dimensional linear matrix inequalities (LMIs) that can be solved efficiently. These finite-dimensional LMI analysis results lead to nonconservative LMI formulations for optimal controller synthesis with respect to disturbance attenuation. As a special case, the analysis also applies to a Markov jump linear system with known transition probabilities that vary in a finite set. / Ph. D.

Vehicle Dynamics Control (VDC) systems (also known as Active Chassis systems) are mechatronic systems developed for improving vehicle comfort, handling and/or stability. Traditionally, most of these systems have been individually developed and manufactured by various suppliers and utilised by automotive manufacturers. These decentralised control systems usually improve one aspect of vehicle performance and in some cases even worsen some other features of the vehicle. Although the benefit of the stand-alone VDC systems has been proven, however, by increasing the number of the active systems in vehicles, the importance of controlling them in a coordinated and integrated manner to reduce the system complexity, eliminate the possible conflicts as well as expand the system operational envelope, has become predominant. The subject of Integrated Vehicle Dynamics Control (IVDC) for improving the overall vehicle performance in the existence of several VDC active systems has recently become the topic of many research and development activities in both academia and industries Several approaches have been proposed for integration of vehicle control systems, which range from the simple and obvious solution of networking the sensors, actuators and processors signals through different protocols like CAN or FlexRay, to some sort of complicated multi-layered, multi-variable control architectures. In fact, development of an integrated control system is a challenging multidisciplinary task and should be able to reduce the complexity, increase the flexibility and improve the overall performance of the vehicle. The aim of this thesis is to develop a low-cost control scheme for integration of Electric Power-Assisted Steering (EPAS) system with Enhanced Stability Program (ESP) system to improve driver comfort as well as vehicle safety. In this dissertation, a systematic approach toward a modular, flexible and reconfigurable control architecture for integrated vehicle dynamics control systems is proposed which can be implemented in real time environment with low computational cost. The proposed control architecture, so named “Integrated Vehicle Control System (IVCS)”, is customised for integration of EPAS and ESP control systems. IVCS architecture consists of three cascade control loops, including high-level vehicle control, low-level (steering torque and brake slip) control and smart actuator (EPAS and EHB) control systems. The controllers are designed based on Youla parameterisation (closed-loop shaping) method. A fast, adaptive and reconfigurable control allocation scheme is proposed to coordinate the control of EPAS and ESP systems. An integrated ESP & ESP HiL/RCP system including the real EPAS and Electro Hydraulic Brake (EHB) smart actuators integrated with a virtual vehicle model (using CarMaker/HiL®) with driver in the loop capability is designed and utilised as a rapid control development platform to verify and validate the developed control systems in real time environment. Integrated Vehicle Dynamic Control is one of the most promising and challenging research and development topics. A general architecture and control logic of the IVDC system based on a modular and reconfigurable control allocation scheme for redundant systems is presented in this research. The proposed fault tolerant configuration is applicable for not only integrated control of EPAS and ESP system but also for integration of other types of the vehicle active systems which could be the subject of future works.

Le sujet de cette thèse s'inscrit dans le cadre des systèmes tolérants aux défauts sous contraintes avec prise en considération de la dégradation des performances. L'objectif principal de ce travail consiste à considérer la gestion des références comme une partie intégrante du système de commande tolérant aux défauts. Dans la littérature, la plupart des méthodes actives de tolérance aux défauts supposent que le recouvrement du système nominal est toujours possible et que les performances nominales sont toujours atteignables. Cette condition est peu réaliste dans la pratique puisque plusieurs éléments empêchent le système reconfiguré de revenir à son mode de fonctionnement nominal. Dans le domaine industriel, l'ensemble des contraintes du système est un handicap majeur qui limite le fonctionnement nominal d'un système à des plages fonctionnelles bien définies. Ces plages fonctionnelles sont énormément réduites après l'apparition de certains défauts dits sévères et qui affectent généralement les actionneurs. Par conséquent, cette hypothèse de recouvrement des performances nominales dans le cas des systèmes sous contraintes limite l'ensemble des défauts traités par ces méthodes classiques à quelques défauts dits mineurs. Afin de remédier a ce problème, une architecture de reconfiguration structurée en deux niveaux est proposée. Le premier concerne les algorithmes classiques de reconfiguration en agissant sur un contrôleur reconfigurable, et le deuxième agit sur le module de gestion des références conçu à base d'un gouverneur de référence avec offset. La connaissance exacte du modèle en post-défaut nécessite un système de détection et diagnostic de défaut qui permet d'estimer l'amplitude de défaut, ce qui conduit à la synthèse d'un observateur adaptatif d'estimation de défaut à base de LMI. Afin de synchroniser le déroulement du processus FTC, deux indices ont été conçus. Le premier indice porte sur le mécanisme de décision permettant de sélectionner le/les niveau(x) de reconfiguration nécessaire(s) à l'accommodation du défaut. Le deuxième indice permet d'évaluer le niveau de dégradation du système « post-défaut ». Une dégradation de performance est toujours admise tant que les consignes de sécurité sont respectées / The subject of this thesis is part of fault tolerant control systems under constraints with consideration of performance degradation. The main objective of this work is to consider the reference management as an integral part of the fault tolerant control system. In the literature, the most active methods of fault tolerance imply that recovery of the nominal system is always possible and that performance ratings are still achievable. This requirement is unrealistic in practice because several factors prevent the system reconfigured back to its nominal operating mode. In industry, the set of system constraints is a major problem which limits the nominal operating of the system to defined functional ranges. These functional ranges are reduced dramatically after the occurrence of some faults known as severe faults that generally affect the capacity of actuators. Therefore, this assumption of nominal performance recovery in the case of systems under constraints limits the set of faults treated with these conventional methods to a few minor faults. To remedy this problem, architecture of reconfiguration structured in two levels is proposed. The first level concerns the conventional reconfiguration algorithms acting on a reconfigurable controller, and the second acts on the module of reference management based on a reference-offset governor. The exact knowledge of the post-fault model requires a fault detection and diagnosis system to estimate the magnitude of fault, which led to the synthesis of an adaptive observer based LMI for estimating fault. To synchronize the FTC process flow, two indices have been designed. The first index refers to the decision mechanism for selecting the reconfiguration level required for the accommodation of the fault. The second index used to evaluate the level of the degradation of the system "post-fault". The performance degradation is still allowed as long as safety instructions are respected

Cette thèse porte sur la représentation T-S des systèmes non linéaires et les non-linéarités qui leur sont associées (saturation et paramètres variants dans le temps) pour la commande et le diagnostic. Ainsi, une nouvelle approche utilisant la transformation par secteurs non linéaires permet de ré-écrire le système sous forme polytopique en prenant en compte la présence de paramètres variants dans le temps. Cette forme polytopique est ensuite utile pour la synthèse d'observateurs assurant l'estimation simultanée de l'état et des paramètres du système. Une application au diagnostic est également considérée en comparant les valeurs des paramètres estimés en ligne avec leurs valeurs nominales supposées connues et représentatives du mode de fonctionnement non défaillant. Concernant la commande, la contrainte de saturation est représentée sous forme de modèle T-S et est intégrée au modèle du système. La synthèse de plusieurs lois de commande assurant la stabilité du système bouclé, en prenant en compte les limites de saturation est proposée. La poursuite de modèle de référence est également traitée avec la mise en évidence des conditions structurelles de poursuite pour les modèles non linéaires sous forme T-S. L'accent est mis sur les différents critères de choix de commande en fonction des buts recherchés / A first contribution of this thesis is to propose a systematic procedure to deal with the state and parameter estimation for nonlinear time-varying systems. It consists in transforming the original system into a T-S model with unmeasurable premise variables using the sector nonlinearity transformation. Then a joint state and parameter observer is designed and the convergence conditions of the joint state and parameter estimation errors are established. The second contribution of this thesis is the stabilization problem under saturation constraints. In fact, we aim to present a new approach for the saturation nonlinearity study, where the sector nonlinearity transformation is used to represent the nonlinear behaviour of a saturated actuator under a T-S form. The T-S representation of the saturation is used to integrate the limitation constraints into the control synthesis, such that the system stability is ensured and the controller gains are calculated according to the saturation level. The model reference tracking control problem is also addressed. It aims to highlight the encoutered difficulties and the proposed solutions to achieve the tracking objective. Through analytical studies, by presenting clear structural conditions and control strategies, we try to point and answer some major interogations, that are : "how the model reference is to be chosen ? " and "which tracking criterion to consider to achieve a certain objective ? ". The case of constrained control input is also considered with a special focus on the anticipation for the saturated control

Cette thèse traite le problème de l'estimation d'état, du diagnostic et de commande tolérante aux défauts des systèmes non linéaires représentés par un modèle de Takagi-Sugeno (T-S) à variables de prémisse non mesurables. De nombreux algorithmes pour la synthèse d'observateurs robustes vis-à-vis des perturbations, des imperfections de modélisation et des entrées inconnues sont présentés en se basant sur quatre types d'observateurs : les observateursproportionnels, les observateurs à entrées inconnues, les observateurs proportionnel intégral (PI) et multi-intégral (PMI). Par la suite, ces derniers sont utilisés pour le diagnostic de fautes affectant des systèmes non linéaires. Ceci est réalisé au moyen de trois stratégies. La première utilise l'observateur à entrée inconnue par découplage afin de rendre l'observateur insensible à certains défauts et permettre de détecter et d'isoler les défauts en construisant des bancs d'observateurs. En raison des conditions structurelles souvent insatisfaites, le découplage total des défauts de l'erreur d'estimation d'état n'est pas réalisable. Afin de s'affranchir de ces contraintes, la seconde stratégie utilise les observateurs PI et PMI pour estimer simultanément l'état et les défauts du système. La troisième stratégie qui utilise le formalisme H8 vise à concevoir un générateur de résidus minimisant l'influence des perturbations et maximisant l'influence des défauts. Un choix adéquat des paramètres du générateur de résidus permet la détection, la localisation et l'estimation des défauts. Enfin, une loi de commande tolérante aux défauts par poursuite de trajectoire d'un modèle de référence estproposée en exploitant les observateurs PI et PMI / This thesis deals with state estimation, fault diagnosis and fault tolerant control of nonlinear systems represented by a Takagi-Sugeno model with unmeasurable premise variables. The problem of state estimation of nonlinear systems with T-S model with unmeasurable premise variable is explored. Algorithms for robust observers synthesis with respect to perturbations, modeling uncertainties and unknown inputs are afterward presented. These algorithms are based on four kinds of observers called proportional, unknown input observers (UIOs), proportional-integral (PI) and multiple-integral (PMI) . The application on model-based diagnosis is studied based on three strategies. The first one uses unknown input observer to decouple some faults and makes the observers insensitive to certain faults. This allows to detect and isolate faults by constructing observers banks. Due to strong structural conditions on designing UIOs decoupling the faults on the state estimation error is not possible. To avoid this problem, the second strategy uses PI and PMI observers in order to estimate simultaneously the state and the faults of the system. The third strategy uses the H8 formalism. This aims to minimize the influence of perturbations and to maximize the effects of faults on the residual signal. An adequate choice of the residual generator parameters allows to detect, to isolate and to estimate the faults affecting the system. Lastly, a fault tolerant control law is proposed by reference trajectory tracking based on the use of PI and PMI observers

L’objectif de cette thèse est de proposer des stratégies de diagnostic dans le cas d'une commande en vitesse sans capteur mécanique (vitesse/position) d’une machine asynchrone triphasée en présence de défaut d'ouverture des transistors IGBT (Insulated Gate Bipolar Transistor) de l’onduleur. Une étude de l’impact de ces défauts sur les performances de ces structures sans capteur mécanique en termes de stabilité et de robustesse des observateurs en mode dégradé est présentée. Un observateur par mode glissant (Sliding Mode Observer) à base de modèle est développé et validé expérimentalement en vue de la commande sans capteur mécanique de la machine asynchrone triphasée. Les signaux issus de l’observateur (approche modèle) sont utilisés conjointement avec ceux mesurés (approche signale) pour former une approche hybride de diagnostic de défauts des transistors IGBT de l’onduleur. Un observateur par mode glissant d’ordre 2 à base d’un algorithme Super-Twisting est ensuite développé en vue d’améliorer la stabilité et d’assurer la continuité de fonctionnement du système en présence d'un défaut afin de pouvoir appliquer une stratégie de commande tolérante aux défauts dans les meilleures délais et conditions de fonctionnement. / The main goal of this thesis is to propose diagnostic strategies in the case of a sensorless speed control of a three-phase induction motor under an opened-switch or opened-phase fault. A qualitative analysis of the performances, in terms of stability and robustness, of sensorless control applied to the electrical drive in pre-fault and post-fault operation modes is presented. A model-based sliding mode observer is developed and experimentally validated for sensorless speed control of three-phase induction motor. The signals issued from the observer (model approach) as well as the measured ones (signal approach) are simultaneously used to form a hybrid approach for inverter open-switch fault detection and identification. A second-order sliding mode observer based on Super-Twisting algorithm (STA) is also developed to improve the stability and to ensure the continuity of operation of the electrical drive especially during transient states induced by the fault, permitting thus to apply the reconfiguration step without losing the control

<p>This doctoral thesis presents new ideas and research results on control of marine electric power system.</p><p>The main motivation for this work is the development of a control system, power management system (PMS) capable to improve the system robustness to blackout, handle major power system faults, minimize the operational cost and keep the power system machinery components under minimal stress in all operational conditions.</p><p>Today, the electric marine power system tends to have more system functionality implemented in integrated automation systems. The present state of the art type of tools and methods for analyzing marine power systems do only to a limited extent utilize the increased knowledge available within each of the mechanical and electrical engineering disciplines.</p><p>As the propulsion system is typically consisted of the largest consumers on the vessel, important interactions exists between the PMS and vessel propulsion system. These are interacted through the dynamic positioning (DP) controller, thrust allocation algorithm, local thruster controllers, generators' local frequency and voltage controllers. The PMS interacts with the propulsion system through the following main functions: available power static load control, load rate limiting control and blackout prevention control (i.e. fast load reduction). These functions serve to prevent the blackout and to ensure that the vessel will always have enough power.</p><p>The PMS interacts with other control systems in order to prevent a blackout and to minimize operational costs. The possibilities to maximize the performance of the vessel, increase the robustness to faults and decrease a component wear-out rate are mainly addressed locally for the individual control systems. The solutions are mainly implicative (for e.g. local thruster control, or DP thrust allocation), and attention has not been given on the interaction between these systems, the power system and PMS. Some of the questions that may arise regarding the system interactions, are as follows: how the PMS functionality may affect a local thruster control, how the local thruster control may affect the power system performance, how some consumers may affect the power system performance in normal operations and thus affect other consumers, how the power system operation may affect the susceptibility to faults and blackout, how various operating and weather conditions may affect the power system performance and thus propulsion performance though the PMS power limiting control, how propulsion performance may affect the overall vessel performance, which kind of faults can be avoided if the control system is re-structured, how to minimize the operational costs and to deal with the conflicting goals. This PhD thesis aims to provide answers to such questions.</p><p>The main contributions of this PhD thesis are:</p><p>− A new observer-based fast load reduction system for the blackout prevention control has been proposed. When compared to the existing fast load reduction systems, the proposed controller gives much faster blackout detection rate, high reliability in the detection and faster and more precise load reduction (within 150 miliseconds).</p><p>− New advanced energy management control strategies for reductions in the operational costs and improved fuel economy of the vessel.</p><p>− Load limiting controllers for the reduction of thruster wear-out rate. These controllers are based on the probability of torque loss, real-time torque loss and the thruster shaft</p><p>accelerations. The controllers provide means of redistributing thrust from load fluctuating thrusters to less load fluctuating ones, and may operate independently of the thrust allocation system. Another solution is also proposed where the load limiting controller based on thrust losses is an integrated part of DP thrust allocation algorithm.</p><p>− A new concept of totally integrated thrust allocation system, local thruster control and power system. These systems are integrated through PMS functionality which is contained within each thruster PLC, thereby distributed among individual controllers, and independent of the communications and dedicated controllers.</p><p>− Observer-based inertial controller and direct torque-loss controller (soft anti-spin controller) with particular attention to the control of machine wear-out rate. These controller contribute to general shaft speed control of electrical thrusters, generators and main propulsion prime movers.</p><p>The proposed controllers, estimators and concepts are demonstrated through time-domain simulations performed in MATLAB/SIMULINK. The selected data are typical for the required applications and may differ slightly for the presented cases.</p>

This doctoral thesis presents new ideas and research results on control of marine electric power system. The main motivation for this work is the development of a control system, power management system (PMS) capable to improve the system robustness to blackout, handle major power system faults, minimize the operational cost and keep the power system machinery components under minimal stress in all operational conditions. Today, the electric marine power system tends to have more system functionality implemented in integrated automation systems. The present state of the art type of tools and methods for analyzing marine power systems do only to a limited extent utilize the increased knowledge available within each of the mechanical and electrical engineering disciplines. As the propulsion system is typically consisted of the largest consumers on the vessel, important interactions exists between the PMS and vessel propulsion system. These are interacted through the dynamic positioning (DP) controller, thrust allocation algorithm, local thruster controllers, generators' local frequency and voltage controllers. The PMS interacts with the propulsion system through the following main functions: available power static load control, load rate limiting control and blackout prevention control (i.e. fast load reduction). These functions serve to prevent the blackout and to ensure that the vessel will always have enough power. The PMS interacts with other control systems in order to prevent a blackout and to minimize operational costs. The possibilities to maximize the performance of the vessel, increase the robustness to faults and decrease a component wear-out rate are mainly addressed locally for the individual control systems. The solutions are mainly implicative (for e.g. local thruster control, or DP thrust allocation), and attention has not been given on the interaction between these systems, the power system and PMS. Some of the questions that may arise regarding the system interactions, are as follows: how the PMS functionality may affect a local thruster control, how the local thruster control may affect the power system performance, how some consumers may affect the power system performance in normal operations and thus affect other consumers, how the power system operation may affect the susceptibility to faults and blackout, how various operating and weather conditions may affect the power system performance and thus propulsion performance though the PMS power limiting control, how propulsion performance may affect the overall vessel performance, which kind of faults can be avoided if the control system is re-structured, how to minimize the operational costs and to deal with the conflicting goals. This PhD thesis aims to provide answers to such questions. The main contributions of this PhD thesis are: − A new observer-based fast load reduction system for the blackout prevention control has been proposed. When compared to the existing fast load reduction systems, the proposed controller gives much faster blackout detection rate, high reliability in the detection and faster and more precise load reduction (within 150 miliseconds). − New advanced energy management control strategies for reductions in the operational costs and improved fuel economy of the vessel. − Load limiting controllers for the reduction of thruster wear-out rate. These controllers are based on the probability of torque loss, real-time torque loss and the thruster shaft accelerations. The controllers provide means of redistributing thrust from load fluctuating thrusters to less load fluctuating ones, and may operate independently of the thrust allocation system. Another solution is also proposed where the load limiting controller based on thrust losses is an integrated part of DP thrust allocation algorithm. − A new concept of totally integrated thrust allocation system, local thruster control and power system. These systems are integrated through PMS functionality which is contained within each thruster PLC, thereby distributed among individual controllers, and independent of the communications and dedicated controllers. − Observer-based inertial controller and direct torque-loss controller (soft anti-spin controller) with particular attention to the control of machine wear-out rate. These controller contribute to general shaft speed control of electrical thrusters, generators and main propulsion prime movers. The proposed controllers, estimators and concepts are demonstrated through time-domain simulations performed in MATLAB/SIMULINK. The selected data are typical for the required applications and may differ slightly for the presented cases.

L'objectif de cette thèse est d'optimiser l'utilisation d'actionneurs redondants pour un avion de transport lorsqu'une défaillance des actionneurs arrive en vol. La tolérance aux pannes résulte ici de la redondance des actionneurs présents sur l'avion. Différents concepts et méthodes classiques liés aux chaînes de commande de vol tolérantes aux pannes sont d'abord examinés et de nouveaux concepts utiles pour l'analyse requise sont introduits. Le problème qui est abordé ici est de développer une méthode de gestion des pannes des commandes de vol dans le cas d'une défaillance partielle des actionneurs, qui va permettre à l'avion de poursuivre en toute sécurité la manœuvre prévue. Une approche de commande en deux étapes est proposée et appliquée à la fois à l'évaluation de la manœuvrabilité restante et à la conception de structures de commande tolérante aux pannes. Dans le premier cas, une méthode d'évaluation hors ligne des qualités de vol basée sur la commande prédictive est proposée. Dans le second cas, une structure de commande tolérante aux pannes basée sur la commande non linéaire inverse et la réaffectation des actionneurs en ligne est développée. Dans les deux cas, un problème de programmation linéaire quadratique (LQ) est formulé. Différents cas de pannes sont considérés lorsqu'un avion effectue une manœuvre classique. Trois solveurs numériques sont appliqués aux solutions en ligne et hors ligne des problèmes LQ qui en résultent.

L'industrie aéronautique évolue dans un contexte concurrentiel qui encourage les motoristes et avionneurs à réduire les coûts de production et à améliorer leurs services aux compagnies aériennes tels que la réduction des coûts d'exploitation et de maintenances des avions. Afin de relever ce défi économique, nous proposons dans cette thèse de remplacer l'architecture de régulation actuelle de certains équipements du turboréacteur, par une architecture simplifiée plus économe en capteurs et harnais en remplaçant la redondance matérielle des capteurs par une redondance analytique. Ainsi, en cas de fonctionnement anormal, les capteurs virtuels proposés pourront être utilisés pour consolider la prise de décision sur l'état du capteur par des tests de cohérence et de validation croisée et le cas échéant se substituer aux mesures.Dans ce travail de thèse, on s'est intéressé à la surveillance des systèmes de régulation de géométries variables (régulation du flux d'air en entrée et la quantité de carburant) avec comme contrainte forte la non-modification des paramètres des lois de commande existantes et le maintien de l'opérabilité du turboréacteur avec une dégradation des performances acceptables selon les spécifications du cahier des charges.Pour répondre à ces contraintes opérationnelles, une approche FTC (Fault Tolerant Control) passive est proposée. Cette approche nommée, AVG-FTC (Aircraft Variables Geometries-Fault-Tolerant Control) s'articule autour de plusieurs sous-systèmes mis en cascades. Elle tient compte du caractère instationnaire des systèmes étudiés, des différents couplages entre géométries variables et des incertitudes de modélisation. Ainsi, l'approche utilise un modèle neuronal du capteur couplé à un observateur de type Takagi-Sugeno-LPV (Linéaire à Paramètres Variant) et à un estimateur non linéaire robuste de type NEKF (Filtre de Kalman Étendu Neuronal) qui permet de produire une estimation temps réel des grandeurs surveillées. En utilisant la plateforme de prototypage et de tests du motoriste, nous avons pu évaluer l'approche AVG-FTC en simulant plusieurs scénarios de vol en présence de défaillances. Ceci a permis de montrer les performances de l'approche en termes de robustesse, de garantie de stabilité des boucles de régulations et d'opérabilité du turboréacteur. To improve the availability, a solution that aircraft manufacturers and suppliers adopt was the fault tolerance. / Over the years, market pressure has ensured that engine manufacturers invest in technology to provide clean, quiet, affordable, reliable, and efficient power. One of the last improvements is the introduction of virtual sensors that make use of non-like signals (analytical redundancy). This, is expected to improve weight, flight safety and availability. However, this new approach has not been widely investigated yet and needs further attention to remove its limitations for certificated applications.The concept of virtual sensors goes along with fault tolerance control strategies that help in limiting disruptions and maintenance costs. Indeed, a fault-tolerant control (FTC) scheme, allows for a leaner hardware structure without decreasing the safety of the system.We propose in this thesis work, to monitor through a passive FTC architecture, the Variables Geometries subsystems' of the engine: the VSV (Variable Stator Vane) and FMV (Fuel Metering Valve). A strong constrains, is not to change the parameters of the existing controllers. The approach named AVG-FTC (Variable Geometries Aircraft-Fault-Tolerant Control) is based on several cascaded sub-systems that allow to deal with the Linear Parameter Varying (LPV) model of the systems and modelling errors. The proposed FTC scheme uses a neural model of the sensor associated with a Takagi-Sugeno observer and a Neuronal Extended Kalman Filter Neural (NEKF) to account for those dynamics that cannot be explained with the LPV model to produce a real-time estimate of the monitored outputs. In case of sensor abnormality, the proposed virtual sensors can then be used as an arbitrator for sensor monitoring or as a healthy sensor used by the controller. To evaluate the approach, serval closed-loop simulations, on SNECMA jet-engine simulator have been performed. The results for distinct flight scenarios with different sensors faults have shown the capabilities of the approach in terms of stability and robustness.