2023 |
Ethabet, Haifa; Dadi, Leila; Raissi, Tarek; Aoun, Mohamed L∞ Set-membership Estimation for Continuous-time Switched Linear Systems Conférence 2023. Résumé | Liens | BibTeX | Étiquettes: Bounded error context, Continous time, Continuous time systems, Continuous-time switched system, Interval observers, Linear matrix inequalities, Linear systems, Lyapunov functions, L∞ technique, matrix, Set-membership estimation, State estimation, Switched linear system, Switched system, Unknown but bounded @conference{Ethabet2023b, In this work, we focuses on the problem of designing an interval state estimation for continuous-time Switched Linear Systems (SLS) in the Unknown But Bounded Error (UBBE) context. To do so, we design a new structure of interval observers by introducing weighted matrices not only to give more degrees of design freedom but also to attenuate the conservatism caused by uncertainties. Observer gains are derived from the solution of Linear Matrix Inequalities (LMIs), based on the use of a common Lyapunov function, to ensure cooperativity and stability. An L∞ technique is then introduced to compensate the measurement noise and disturbances’ effects and to enhance the precision of interval estimation. Finally, numerical simulations are given, evaluating the proposed methodology and demonstrating its effectiveness. © 2023 IEEE. |
2022 |
Lamouchi, Rihab; Amairi, Messaoud; Raissi, Tarek; Aoun, Mohamed Robust Fault Detection based on Zonotopic Observers for Linear Parameter Varying Systems Conférence 2022, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Discrete time, Fault detection, Faults detection, Linear parameter varying systems, Linear systems, Measurement Noise, Numerical methods, Performance, Robust fault detection, Sensors faults, Uncertainty, Unknown but bounded, Zonotopes @conference{Lamouchi2022773b, In this paper, zonotopic fault detection methodology is proposed for a class of discrete-Time Linear Parameter Varying (LPV) systems with sensor faults. The disturbances and measurement noise are assumed to be unknown but bounded by zonotope. First, a fault detection observer is designed based on L? performance to attenuate the effects of the uncertainties and to improve the accuracy of the proposed residual framers. Then, the fault sensitivity is taken into account by measuring H-performance and zonotopic residual evaluation is presented. Finally, the effectiveness of the proposed method is demonstrated by a numerical example. © 2022 IEEE. |
Lamouchi, Rihab; Raissi, Tarek; Amairi, Messaoud; Aoun, Mohamed Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 44, no. 5, p. 986 – 999, 2022, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Component faults, Control system stability, Control theory, Fault magnitudes, Fault tolerance, Faults tolerant controls, Interval observers, Linear parameter varying systems, Linear systems, LPV systems, Novel methodology, Observer-based, State feedback, Uncertainty, Unknown but bounded @article{Lamouchi2022986b, The paper deals with passive fault tolerant control for linear parameter varying systems subject to component faults. Under the assumption that the faults magnitudes are considered unknown but bounded, a novel methodology is proposed using interval observer with an (Formula presented.) formalism to attenuate the effects of the uncertainties and to improve the accuracy of the proposed observer. The necessary and sufficient conditions of the control system stability are developed in terms of matrix inequalities constraints using Lyapunov stability theory. Based on a linear state feedback, a fault tolerant control strategy is designed to handle component faults effect as well as external disturbances and preserve the system closed-loop stability for both fault-free and component faulty cases. Two simulation examples are presented to demonstrate the effectiveness of the proposed method. © The Author(s) 2021. |
2020 |
Ethabet, Haifa; Raissi, Tarek; Amairi, Messaoud; Aoun, Mohamed Fault Detection and Isolation for Continuous-Time Switched Linear Systems: A Set Membership Approach Conférence 2020, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Average dwell time, Continuous time systems, Fault detection, Fault detection and isolation, Linear matrix inequalities, Linear systems, Measurement Noise, Numerical methods, Set membership approach, Stability condition, Switched linear system, Unknown but bounded, Unknown input observer @conference{Ethabet2020279b, In this paper, the problem of Fault Detection and Isolation (FDI) is investigated for continuous-Time switched linear systems via a set-membership approach. Under the fulfillment of the relative degree property by all the subsystems, the proposed solution is based on the use of a bank of interval unknown input observers. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, cooperativity and stability conditions are given in terms of Linear Matrix Inequalities (LMIs) with the fulfillment of an Average Dwell Time (ADT) constraints. Then, upper and lower residuals are computed. A numerical example illustrating the validity of the method in fault detection and isolation is given. © 2020 IEEE. |
Ethabet, H.; Raïssi, T.; Amairi, M.; Combastel, C.; Aoun, M. Interval observer design for continuous-time switched systems under known switching and unknown inputs Article de journal Dans: International Journal of Control, vol. 93, no. 5, p. 1088 – 1101, 2020, (Cited by: 12). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Interval estimation, Linear systems, Lower and upper bounds, State transformation, Switched linear system, Switched system, Unknown but bounded, Unknown input estimation, Unknown inputs @article{Ethabet20201088b, This paper deals with unknown input estimation for switched linear systems in an unknown but bounded error (UBBE) framework. Based on a known switching signal and under the fulfilment of the relative degree property by all the subsystems, a decoupling method is used to make the state partially affected by the unknown input. Assuming that the disturbances and the measurement noises are unknown but bounded with a priori known bounds, lower and upper bounds of the unmeasured state and unknown input are then computed. A numerical example illustrates the efficiency of the proposed methodology. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. |
2019 |
Ethabet, Haifa; Raïssi, Tarek; Amairi, Messaoud; Aoun, Mohamed Set-Membership Fault Detection for Continuous-time Switched Linear Systems Conférence 2019, (Cited by: 7). Résumé | Liens | BibTeX | Étiquettes: Bounded disturbances, Continuous time systems, Continuous-time, Fault detection, Linear matrix inequalities, Linear systems, Set membership, Stability criteria, Stability properties, Switched linear system, Switched system, Unknown but bounded, Upper and lower bounds @conference{Ethabet2019406b, The problem of Fault Detection (FD) for continuous-time switched linear systems subject to bounded disturbances is investigated in this paper. Based on cooperativity and stability properties, and fulfillment of an Average Dwell Time (ADT) constraint, guaranteed upper and lower bounds of the state are calculated using an interval observer. Under the assumption that disturbances and measurement noise are unknown but bounded with a priori known bounds, stability criteria is expressed in terms of Linear Matrix Inequalities (LMIs). Then, a fault detection methodology is developed to indicate the presence of faults. Finally, we demonstrate the proposed fault detection approach via an illustrative example. © 2019 IEEE. |
2018 |
Hamdi, Saif Eddine; Amairi, Messaoud; Aoun, Mohamed Recursive set-membership parameter estimation of fractional systems using orthotopic approach Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 40, no. 15, p. 4185 – 4197, 2018, (Cited by: 5). Résumé | Liens | BibTeX | Étiquettes: Bounded error context, Bounded errors, Errors, Fractional systems, Fractional-order systems, Iterative algorithm, Iterative methods, Monte Carlo methods, Order estimation, Parameter estimation, Set membership approach, Unknown but bounded @article{Hamdi20184185b, In this paper, set-membership parameter estimation of linear fractional-order systems is addressed for the case of unknown-but-bounded equation error. In such bounded-error context with a-priori known noise bounds, the main goal is to characterize the set of all feasible parameters. This characterization is performed using an orthotopic strategy adapted for fractional system parameter estimation. In the case of a fractional commensurate system, an iterative algorithm is proposed to deal with commensurate-order estimation. The performances of the proposed algorithm are illustrated by a numerical example via a Monte Carlo simulation. © The Author(s) 2018. |
2017 |
Lamouchi, Rihab; Amairi, Messaoud; Raïssi, Tarek; Aoun, Mohamed Actuator Fault Compensation in a Set-membership Framework for Linear Parameter-Varying Systems Conférence vol. 50, no. 1, 2017, (Cited by: 11; All Open Access, Bronze Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Actuator fault, Actuators, Closed loop stability, Convergence of numerical methods, External disturbances, Interval estimation, Interval observers, Linear parameter varying systems, Linear state feedback, Linear systems, State feedback, Unknown but bounded @conference{Lamouchi20174033b, This paper presents an actuator fault compensation approach for a class of Linear Parameter-Varying (LPV) systems with noisy measurements. The proposed method is based on interval estimation assuming that the fault vector and the external disturbances are unknown but bounded. The main idea consists in designing a control law, based on a linear state feedback, to guarantee closed-loop stability. An additive control, based on fault bounds, is used to compensate the impact of actuator faults on system performances. The closed-loop stability of the robust fault compensation scheme is established in the Lyapunov sense. Finally, the theoretical results are illustrated using a numerical example. © 2017 |
Ethabet, Haifa; Raissi, Tarek; Amairi, Messaoud; Aoun, Mohamed Interval observers design for continuous-time linear switched systems Conférence vol. 50, no. 1, 2017, (Cited by: 30; All Open Access, Bronze Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time linear switched systems, Convergence of numerical methods, Cooperativity, Estimation errors, Hybrid systems, Interval observers, Linear switched systems, Numerical methods, Observer gain, Switched system, Unknown but bounded @conference{Ethabet20176259b, This paper is devoted to investigate interval observers design for linear switched systems. The considered systems are subject to disturbances which are assumed to be unknown but bounded. First, observer gains are computed to ensure the stability of the estimation error. Then, under some changes of coordinates an interval observer is designed. Efficiency of the proposed method is demonstrated through a numerical example. © 2017 |
2016 |
Hamdi, Saif Eddine; Amairi, Messaoud; Aoun, Mohamed Orthotopic set-membership parameter estimation of fractional order model Conférence 2016, (Cited by: 7). Résumé | Liens | BibTeX | Étiquettes: Fractional order, Fractional order models, Numerical methods, Orthotopic, Probability distributions, Set membership, Set membership method, Unknown but bounded @conference{Hamdi2016634b, This paper presents a new orthotopic set-membership method for the identification of linear fractional orders systems. This method consists in recursively constructing an outer orthotope that contains all feasible parameters when the probability distribution of the disturbances is unknown but bounded and when the differentiation orders are known. A numerical example shows the effectiveness of the proposed method. © 2016 IEEE. |
Lamouchi, R.; Amairi, M.; Raïssi, T.; Aoun, M. Interval observer design for Linear Parameter-Varying systems subject to component faults Conférence 2016, (Cited by: 20; All Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Component faults, Convergence of numerical methods, Estimated state, Guaranteed bounds, Interval observers, Linear parameter varying systems, Linear systems, LPV systems, Numerical methods, Parameter uncertainty, Uncertainty analysis, Unknown but bounded @conference{Lamouchi2016707b, In this paper an interval observer for Linear Parameter-Varying (LPV) systems is proposed. The considered systems are assumed to be subject to parameter uncertainties and component faults whose effect can be approximated by parameters deviations. Under some conditions, an interval observer with discrete-time Luenberger structure is developed to cope with uncertainties and faults ensuring guaranteed bounds on the estimated states and their stability. The interval observer design is based on assumption that the uncertainties and the faults magnitudes are considered as unknown but bounded. A numerical example shows the efficiency of the proposed technique. © 2016 IEEE. |