2020 |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems using observer-based methods Article de journal Dans: International Journal of Dynamical Systems and Differential Equations, vol. 10, no. 2, p. 128 – 148, 2020, (Cited by: 2). Résumé | Liens | BibTeX | Étiquettes: Convergence conditions, Diagnosis, Fault detection, Fault detection and isolation, Fault isolation, Fractional systems, Luenberger observers, Residual sensitivities, Structured residuals, Time delay, Timing circuits, Unknown input observer @article{Atitallah2020128b,In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems. Time-delay fractional Luenberger observer without unknown input and time-delay fractional unknown input observer are developed and used for fault detection and isolation. A single observer scheme is needed for fault detection and a bank of generalized (respectively dedicated) observers is required for fault isolation. A theoretical study investigating the convergence condition for each observer-based method in terms of matrix inequalities is presented. Residual sensitivities to faults and to disturbances are studied. Time-delay fractional unknown input observer parameters are computed to obtain structured residuals. This observer ensures unknown input decoupling from the state which results residual insensitive to unknown inputs. Two numerical examples to validate the efficiency of the proposed approaches are given. Copyright © 2020 Inderscience Enterprises Ltd. |
2019 |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Adaptive observer, Continuous frequency, Convergence criterion, Detection and estimation, Fault detection, Fault estimation, Fractional systems, Fractional-order systems, Linear matrix inequalities, Luenberger observers, Lyapunov functions, Numerical methods, Time delay, Timing circuits @conference{Atitallah2019399b,This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Adaptive observer, Continuous frequency, Convergence criterion, Detection and estimation, Fault detection, Fault estimation, Fractional systems, Fractional-order systems, Linear matrix inequalities, Luenberger observers, Lyapunov functions, Numerical methods, Time delay, Timing circuits @conference{Atitallah2019399,This paper proposes a technique to detect and estimate faults for fractional-order systems with time delay. Two observers are used in this method. Indeed, a time-delay fractional Luenberger observer is generated to detect fault. An adaptive fractional order with time delay observer is then constructed to estimate the fault by providing an on-line estimation algorithm. The convergence criteria of this observer is expressed via linear matrix inequalities (LMIs) by the use of a specific Lyapunov function considering the continuous frequency disturbed model. The validity of the fault detection and estimation technique is shown by a numerical example. © 2019 IEEE. |
2018 |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Bilinear matrix inequality, Degrees of freedom (mechanics), Design, Design Methodology, Digital control systems, Discrete – time systems, Discrete time control systems, Discrete-time nonlinear systems, Linear matrix inequalities, Lipschitz property, LMI (linear matrix inequality), Luenberger observers, Restrictive constraints @conference{Gasmi2018111b,This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young’s relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE. |
2017 |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Automation, Bilinear matrix inequality, Convergence conditions, Convergence of numerical methods, Delay control systems, Diagnosis, Fault detection, Fault indicators, Fractional systems, Fractional-order systems, Luenberger observers, Model based diagnosis, Numerical methods, Process control, residual, Time delay @conference{Atitallah2017284b,In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method’s validity in detecting faults is finally presented. © 2016 IEEE. |
Atitallah, Halima; Aribi, Asma; Aoun, Mohamed Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Automation, Bilinear matrix inequality, Convergence conditions, Convergence of numerical methods, Delay control systems, Diagnosis, Fault detection, Fault indicators, Fractional systems, Fractional-order systems, Luenberger observers, Model based diagnosis, Numerical methods, Process control, residual, Time delay @conference{Atitallah2017284,In this paper, a model-based diagnosis method, called Luenberger diagnosis observer, recently developed for fractional order systems, is extended for time-delay fractional systems. A sufficient convergence condition of the fault indicator using Bilinear Matrix Inequalities is detailed. A numerical example illustrating the method’s validity in detecting faults is finally presented. © 2016 IEEE. |
2016 |
Chouki, Rihab; Aribi, Asma; Aoun, Mohamed; Abdelkarim, Mohamed N. Additive fault tolerant control for fractional order model systems Conférence 2016, (Cited by: 6). Résumé | Liens | BibTeX | Étiquettes: Additive faults, Automation, Fault tolerance, Fractional order models, Luenberger observers, Process control, Sensor fault @conference{Chouki2016340b,The additive fault tolerant control (FTC) for the fractional order model is presented, in this paper. Hence, two steps are compulsory in order to design the additive control. The first one being the estimation of the sensor fault amplitude which is realized by using the fractional Luenberger observer and the second one consists in generating the additive fault tolerant control law and then sum it to the nominal control of the fractional order model. © 2015 IEEE. |
Publications
2020 |
Diagnosis of time-delay fractional systems using observer-based methods Article de journal Dans: International Journal of Dynamical Systems and Differential Equations, vol. 10, no. 2, p. 128 – 148, 2020, (Cited by: 2). |
2019 |
Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). |
Fault estimation using adaptive observer-based technique for time delay fractional-order systems Conférence 2019, (Cited by: 0). |
2018 |
H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). |
2017 |
Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). |
Diagnosis of time-delay fractional systems Conférence 2017, (Cited by: 3). |
2016 |
Additive fault tolerant control for fractional order model systems Conférence 2016, (Cited by: 6). |