Publications

@article{Lamouchi2022986b,

title = {Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems},

author = {Rihab Lamouchi and Tarek Raissi and Messaoud Amairi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85116041442\&doi=10.1177%2f01423312211040370\&partnerID=40\&md5=c5fa02b0d345303e5c1d1274ad12a7ef},

doi = {10.1177/01423312211040370},

year  = {2022},

date = {2022-01-01},

journal = {Transactions of the Institute of Measurement and Control},

volume = {44},

number = {5},

pages = {986 \textendash 999},

abstract = {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.},

note = {Cited by: 4},

keywords = {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},

pubstate = {published},

tppubtype = {article}

}

@article{Lamouchi2022h,

title = {On interval observer design for active Fault Tolerant Control of Linear Parameter-Varying systems},

author = {Rihab Lamouchi and Tarek Raissi and Messaoud Amairi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130126718\&doi=10.1016%2fj.sysconle.2022.105218\&partnerID=40\&md5=a6a5dac4c11a8622ed641e0369da31a6},

doi = {10.1016/j.sysconle.2022.105218},

year  = {2022},

date = {2022-01-01},

journal = {Systems and Control Letters},

volume = {164},

abstract = {This paper proposes an active Fault Tolerant Control (FTC) scheme for polytopic uncertain Linear Parameter-Varying (LPV) systems subject to uncertainties and actuator faults. First, a fault estimation interval observer is designed to estimate the system state and the actuator fault. A novel approach is developed using the L∞ norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed observer. Then, based on the fault estimation information, the FTC strategy is designed using a linear state feedback control law and H∞ technique to compensate actuator faults and maintain system performance and stability, even under faulty conditions. Finally, the effectiveness of the proposed method is demonstrated by its application to a vehicle lateral dynamic nonlinear model. © 2022 Elsevier B.V.},

note = {Cited by: 5},

keywords = {Active fault tolerant control, Actuator fault, Actuator fault estimation, Actuators, Discrete time, Discrete time control systems, Discrete-time linear parameter-varying system, Fault estimation, Fault tolerance, Faulting, Interval observers, Linear parameter varying systems, Linear systems, L∞ norm, State feedback, Uncertainty analysis, ∞norm},

pubstate = {published},

tppubtype = {article}

}

@article{BelHajFrej2020b,

title = {Fractional interval observers and initialization of fractional systems},

author = {Ghazi Bel Haj Frej and Rachid Malti and Mohamed Aoun and Tarek Ra\"{i}ssi},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073555836\&doi=10.1016%2fj.cnsns.2019.105030\&partnerID=40\&md5=79ed72482fa1874d673190eaeaf76737},

doi = {10.1016/j.cnsns.2019.105030},

year  = {2020},

date = {2020-01-01},

journal = {Communications in Nonlinear Science and Numerical Simulation},

volume = {82},

abstract = {In this paper an interval observer is synthesized for fractional linear systems with additive noise and disturbances. The contribution of system whole past to future output is taken into account as an initialization function. Provided the initialization function is upper and lower bounded, it is shown in this paper that the fractional interval observer (FIO) allows to bound pseudo-state free responses by an upper and a lower trajectory. In case interval observers cannot be synthesized straightforwardly, so as to obtain a stable and non-negative estimation error, it is shown that a change of coordinates allows to overcome this problem. The proposed methodology allows to bound fractional systems trajectories when the whole past is unknown but can be bounded. Finally, a numerical example is given to show the effectiveness of the proposed methods on the initialization of fractional linear systems. © 2019 Elsevier B.V.},

note = {Cited by: 6; All Open Access, Bronze Open Access, Green Open Access},

keywords = {A-stable, Additive noise, Estimation errors, Fractional systems, Free response, Initialization, Interval observers, Linear systems, Non negatives, Numerical methods, Pseudo state},

pubstate = {published},

tppubtype = {article}

}

@article{BelHajFrej2020c,

title = {Fractional interval observers and initialization of fractional systems},

author = {Ghazi Bel Haj Frej and Rachid Malti and Mohamed Aoun and Tarek Ra\"{i}ssi},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073555836\&doi=10.1016%2fj.cnsns.2019.105030\&partnerID=40\&md5=79ed72482fa1874d673190eaeaf76737},

doi = {10.1016/j.cnsns.2019.105030},

year  = {2020},

date = {2020-01-01},

journal = {Communications in Nonlinear Science and Numerical Simulation},

volume = {82},

abstract = {In this paper an interval observer is synthesized for fractional linear systems with additive noise and disturbances. The contribution of system whole past to future output is taken into account as an initialization function. Provided the initialization function is upper and lower bounded, it is shown in this paper that the fractional interval observer (FIO) allows to bound pseudo-state free responses by an upper and a lower trajectory. In case interval observers cannot be synthesized straightforwardly, so as to obtain a stable and non-negative estimation error, it is shown that a change of coordinates allows to overcome this problem. The proposed methodology allows to bound fractional systems trajectories when the whole past is unknown but can be bounded. Finally, a numerical example is given to show the effectiveness of the proposed methods on the initialization of fractional linear systems. © 2019 Elsevier B.V.},

note = {Cited by: 6; All Open Access, Bronze Open Access, Green Open Access},

keywords = {A-stable, Additive noise, Estimation errors, Fractional systems, Free response, Initialization, Interval observers, Linear systems, Non negatives, Numerical methods, Pseudo state},

pubstate = {published},

tppubtype = {article}

}

@article{FREJ2019,

title = {Fractional Interval Observers And Initialization Of Fractional Systems},

author = {Ghazi Bel Haj Frej and Rachid Malti and Mohamed Aoun and Tarek Ra\"{i}ssi},

url = {http://www.sciencedirect.com/science/article/pii/S1007570419303491},

doi = {https://doi.org/10.1016/j.cnsns.2019.105030},

issn = {1007-5704},

year  = {2019},

date = {2019-01-01},

journal = {Communications in Nonlinear Science and Numerical Simulation},

pages = {105030},

abstract = {In this paper an interval observer is synthesized for fractional linear systems with additive noise and disturbances. The contribution of system whole past to future output is taken into account as an initialization function. Provided the initialization function is upper and lower bounded, it is shown in this paper that the fractional interval observer (FIO) allows to bound pseudo-state free responses by an upper and a lower trajectory. In case interval observers cannot be synthesized straightforwardly, so as to obtain a stable and non-negative estimation error, it is shown that a change of coordinates allows to overcome this problem. The proposed methodology allows to bound fractional systems trajectories when the whole past is unknown but can be bounded. Finally, a numerical example is given to show the effectiveness of the proposed methods on the initialization of fractional linear systems.},

keywords = {Fractional systems, Initialization, Interval observers, scopus, Stability of fractional linear systems},

pubstate = {published},

tppubtype = {article}

}

@article{Lamouchi2018524b,

title = {Interval observer framework for fault-tolerant control of linear parameter-varying systems},

author = {R. Lamouchi and T. Ra\"{i}ssi and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014539916\&doi=10.1080%2f00207179.2017.1286042\&partnerID=40\&md5=275234188281e51a603a02d016dc6d8f},

doi = {10.1080/00207179.2017.1286042},

year  = {2018},

date = {2018-01-01},

journal = {International Journal of Control},

volume = {91},

number = {3},

pages = {524 \textendash 533},

abstract = {This paper addresses the problem of passive fault-tolerant control for linear parameter-varying systems subject to actuator faults. The FTC, based on a linear state feedback, is designed to compensate the impact of actuator faults on system performance by stabilising the closed-loop system using interval observers. The design of interval observers is based on the discrete-time Luenberger observer structure, where uncertainties and faults with known bounds are considered. Sufficient conditions for the existence of the proposed observer are explicitly provided. Simulation results are presented to show the effectiveness of the proposed approach. © 2017 Informa UK Limited, trading as Taylor \& Francis Group.},

note = {Cited by: 35},

keywords = {Actuator fault, Actuators, Closed loop systems, Convergence of numerical methods, Discrete-time Luenberger observer, Fault tolerance, Fault tolerant control, Interval observers, Linear parameter varying systems, Linear state feedback, Linear systems, LPV systems, State feedback},

pubstate = {published},

tppubtype = {article}

}

@article{Ra\"{i}ssi201797b,

title = {On robust pseudo state estimation of fractional order systems},

author = {Tarek Ra\"{i}ssi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017515441\&doi=10.1007%2f978-3-319-54211-9_8\&partnerID=40\&md5=1e73802a102fb9e5603ca4bcffa4ef46},

doi = {10.1007/978-3-319-54211-9_8},

year  = {2017},

date = {2017-01-01},

journal = {Lecture Notes in Control and Information Sciences},

volume = {471},

pages = {97 \textendash 111},

abstract = {The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear systems described by pseudo state space representation. The fractional observer is guaranteed to compute a domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are used and no additional assumptions about their stationarity or ergodicity are taken into account. A fractional observer is firstly built for a particular case where the estimation error can be designed to be positive. Then, the general case is investigated through changes of coordinates. Some numerical simulations illustrate the proposed methodology. © Springer International Publishing AG 2017.},

note = {Cited by: 3},

keywords = {Continuous time systems, Continuous-time linear systems, Estimation errors, Fractional dynamics, Fractional systems, Fractional-order systems, Interval observers, Linear systems, Measurement Noise, Robust estimation, State estimation, State space methods, Uncertainty analysis},

pubstate = {published},

tppubtype = {article}

}

@article{Yousfi2017216b,

title = {Set-membership methodology for model-based prognosis},

author = {Basma Yousfi and Tarek Ra\"{i}ssi and Messaoud Amairi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006175186\&doi=10.1016%2fj.isatra.2016.09.025\&partnerID=40\&md5=0fb0b0d207af4e0d1a99ea02e82e994f},

doi = {10.1016/j.isatra.2016.09.025},

year  = {2017},

date = {2017-01-01},

journal = {ISA Transactions},

volume = {66},

pages = {216 \textendash 225},

abstract = {This paper addresses model-based prognosis to predict Remaining Useful Life (RUL) of a class of dynamical systems. The methodology is based on singular perturbed techniques to take into account the slow behavior of degradations. The full-order system is firstly decoupled into slow and fast subsystems. An interval observer is designed for both subsystems under the assumption that the measurement noise and the disturbances are bounded. Then, the degradation is modeled as a polynomial whose parameters are estimated using ellipsoid algorithms. Finally, the RUL is predicted based on an interval evaluation of the degradation model over a time horizon. A numerical example illustrates the proposed technique. © 2016 ISA},

note = {Cited by: 19},

keywords = {algorithm, article, Damage, Dynamical systems, human, Interval observers, noise, Numerical methods, Perturbation techniques, Prognosis, Remaining useful lives, Singularly perturbed systems},

pubstate = {published},

tppubtype = {article}

}

@article{Yousfi2017582b,

title = {Robust state estimation for singularly perturbed systems},

author = {B. Yousfi and T. Ra\"{i}ssi and M. Amairi and D. Gucik-Derigny and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979965559\&doi=10.1080%2f00207179.2016.1186842\&partnerID=40\&md5=a6a887668d600359a3d705890d923cca},

doi = {10.1080/00207179.2016.1186842},

year  = {2017},

date = {2017-01-01},

journal = {International Journal of Control},

volume = {90},

number = {3},

pages = {582 \textendash 595},

abstract = {This paper deals with the design of interval observers for singularly perturbed linear systems. The full-order system is first decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow and fast subsystems assuming that the measurement noise and the disturbances are bounded and the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for the feasible state domain. A numerical example shows the efficiency of the proposed technique. © 2016 Informa UK Limited, trading as Taylor \& Francis Group.},

note = {Cited by: 6},

keywords = {Cooperativity, Interval observers, Linear systems, Lower and upper bounds, Measurement Noise, Numerical methods, Perturbation techniques, Robust state estimation, Singularly perturbed, Singularly perturbed systems, uncertainties, Uncertainty analysis},

pubstate = {published},

tppubtype = {article}

}

@article{Ra\"{i}ssi201797,

title = {On robust pseudo state estimation of fractional order systems},

author = {Tarek Ra\"{i}ssi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017515441\&doi=10.1007%2f978-3-319-54211-9_8\&partnerID=40\&md5=1e73802a102fb9e5603ca4bcffa4ef46},

doi = {10.1007/978-3-319-54211-9_8},

year  = {2017},

date = {2017-01-01},

journal = {Lecture Notes in Control and Information Sciences},

volume = {471},

pages = {97 \textendash 111},

abstract = {The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear systems described by pseudo state space representation. The fractional observer is guaranteed to compute a domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are used and no additional assumptions about their stationarity or ergodicity are taken into account. A fractional observer is firstly built for a particular case where the estimation error can be designed to be positive. Then, the general case is investigated through changes of coordinates. Some numerical simulations illustrate the proposed methodology. © Springer International Publishing AG 2017.},

note = {Cited by: 3},

keywords = {Continuous time systems, Continuous-time linear systems, Estimation errors, Fractional dynamics, Fractional systems, Fractional-order systems, Interval observers, Linear systems, Measurement Noise, Robust estimation, State estimation, State space methods, Uncertainty analysis},

pubstate = {published},

tppubtype = {article}

}