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 |
Dadi, Leila; Ethabet, Haifa; Aoun, Mohamed Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Actuator fault, Actuators, Bounded disturbances, Cooperativity, Discrete time, Fault detection, Faults detection, Interval observers, Linear matrix inequalities, Linear systems, Set-membership, Stability condition, Switched linear system, Switched system @conference{Dadi2022190b, This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE. |
Dadi, Leila; Dinh, Thach Ngoc; Raïssi, Tarek; Ethabet, Haifa; Aoun, Mohamed New Finite-Time Observers design for a Discrete-Time Switched Linear System Conférence vol. 55, no. 40, 2022, (Cited by: 0; All Open Access, Bronze Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Additive disturbance, Approximate estimation, Discrete time, Exact estimation, Finite-time observers, Fixed time, Initial state, Linear systems, Measurement Noise, Observers designs, Switched linear system @conference{Dadi202273b, In this work, we consider a discrete-time switched linear system. A novel approach is introduced to estimate its state in a finite fixed time which can be arbitrarily chosen and is independent of the initial state. For cases where the additive disturbance and measurement noise are known, we provide an exact estimation. Otherwise, a finite-time interval observer is designed. The crucial idea is based on using past values of the input and output of the studied system and a minimal dwell time condition. Simulation results are provided to illustrate the effectiveness of the proposed techniques in different scenarios of finite time choices. Copyright © 2022 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Dadi, Leila; Ethabet, Haifa; Aoun, Mohamed Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Actuator fault, Actuators, Bounded disturbances, Cooperativity, Discrete time, Fault detection, Faults detection, Interval observers, Linear matrix inequalities, Linear systems, Set-membership, Stability condition, Switched linear system, Switched system @conference{Dadi2022190, This work deals with Fault Detection (FD) for a class of discrete-time switched linear systems with actuator faults subject to bounded disturbances. First, based on cooperativity and stability conditions and under the assumption that disturbances and measurement noise are unknown but bounded, upper and lower bounds of the state are calculated using an interval observer. The design conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMIs). Second, a fault detection decision is developed to indicate the presence of faults using interval analysis. Simulation results are provided to illustrate the performance of the proposed fault detection approach. © 2022 IEEE. |
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. |
Publications
2023 |
L∞ Set-membership Estimation for Continuous-time Switched Linear Systems Conférence 2023. |
2022 |
Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). |
New Finite-Time Observers design for a Discrete-Time Switched Linear System Conférence vol. 55, no. 40, 2022, (Cited by: 0; All Open Access, Bronze Open Access, Green Open Access). |
Set-Membership Fault Detection for Discrete-time Switched Linear Systems Conférence 2022, (Cited by: 0). |
2020 |
Fault Detection and Isolation for Continuous-Time Switched Linear Systems: A Set Membership Approach Conférence 2020, (Cited by: 1). |
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). |
2019 |
Set-Membership Fault Detection for Continuous-time Switched Linear Systems Conférence 2019, (Cited by: 7). |