Publications

@conference{Dabbaghi2023b,

title = {Estimating and enlarging the domain of attraction for a nonlinear system with input saturation},

author = {Boudour Dabbaghi and Faical Hamidi and Houssem Jerbi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182924575\&doi=10.1109%2fIW_MSS59200.2023.10368596\&partnerID=40\&md5=672e47539c960bce9ba5743f75dc5c50},

doi = {10.1109/IW_MSS59200.2023.10368596},

year  = {2023},

date = {2023-01-01},

journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},

abstract = {This paper focuses on the stabilization problem of a nonlinear system subject to actuator saturation. Such that the results are based on the differential algebraic representation and use of a convex hull description subject to the saturation effects. The contribution of this work is to estimate enlarging domain of attraction. Therefore, for find the largess domain of attraction, the block matrix-variable will be chosen. Numerical examples are provided to illustrate the efficiency of this new approach. © 2023 IEEE.},

keywords = {Actuator saturations, Algebra, Algebraic representations, Computational geometry, Convex hull, Differential algebraic, Differential algebraic representation, Domain of attraction, Input saturation, Nonlinear, Nonlinear systems, Stabilization problems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Dabbaghi2023,

title = {Estimating and enlarging the domain of attraction for a nonlinear system with input saturation},

author = {Boudour Dabbaghi and Faical Hamidi and Houssem Jerbi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182924575\&doi=10.1109%2fIW_MSS59200.2023.10368596\&partnerID=40\&md5=672e47539c960bce9ba5743f75dc5c50},

doi = {10.1109/IW_MSS59200.2023.10368596},

year  = {2023},

date = {2023-01-01},

journal = {2023 IEEE International Workshop on Mechatronics Systems Supervision, IW_MSS 2023},

abstract = {This paper focuses on the stabilization problem of a nonlinear system subject to actuator saturation. Such that the results are based on the differential algebraic representation and use of a convex hull description subject to the saturation effects. The contribution of this work is to estimate enlarging domain of attraction. Therefore, for find the largess domain of attraction, the block matrix-variable will be chosen. Numerical examples are provided to illustrate the efficiency of this new approach. © 2023 IEEE.},

keywords = {Actuator saturations, Algebra, Algebraic representations, Computational geometry, Convex hull, Differential algebraic, Differential algebraic representation, Domain of attraction, Input saturation, Nonlinear, Nonlinear systems, Stabilization problems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Jerbi2022b,

title = {Computing the Domain of Attraction using Numerical Techniques},

author = {Houssem Jerbi and Boudour Dabbagui and Faical Hamidi and Mohamad Aoun and Yassine Bouazzi and Sondess Ben Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85134079276\&doi=10.1109%2fICAAID51067.2022.9799499\&partnerID=40\&md5=74612f4dcc28a8c7f1c2bfe63a8c27d5},

doi = {10.1109/ICAAID51067.2022.9799499},

year  = {2022},

date = {2022-01-01},

journal = {Proceedings - 2022 4th International Conference on Applied Automation and Industrial Diagnostics, ICAAID 2022},

abstract = {Stability analysis of controlled nonlinear systems is a problem of fundamental importance in system engineering. This paper elaborates an explicit numerical technique to maximize a quadratic Lyapunov function for the class of polynomial nonlinear models. Using the computed Lyapunov function an enlarged subsets of the basin of attraction of an asymptotically stable equilibrium can be computed in an iterative analytical way. We mainly use the Carleman linearization technique that converts a nonlinear autonomous system of finite dimension into an equivalent linear infinite dimension one. We implement the sampling technique as a numerical tool allowing the maximization of estimated regions of attraction. An example is given to demonstrate the efficiency of the proposed approach. The numerical study analysis of the designed scheme is led using the Matlab software environment. © 2022 IEEE.},

note = {Cited by: 0},

keywords = {Asymptotically stable equilibrium, Basins of attraction, Carleman linearization, Domain of attraction, Iterative methods, Linearization, Lyapunov functions, Lyapunov's functions, Lypaunov functions, MATLAB, Non-linear modelling, Nonlinear systems, Numerical methods, Numerical techniques, Quadratic lyapunov function, Stability analyze, System stability},

pubstate = {published},

tppubtype = {conference}

}

@conference{Jerbi2022,

title = {Computing the Domain of Attraction using Numerical Techniques},

author = {Houssem Jerbi and Boudour Dabbagui and Faical Hamidi and Mohamad Aoun and Yassine Bouazzi and Sondess Ben Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85134079276\&doi=10.1109%2fICAAID51067.2022.9799499\&partnerID=40\&md5=74612f4dcc28a8c7f1c2bfe63a8c27d5},

doi = {10.1109/ICAAID51067.2022.9799499},

year  = {2022},

date = {2022-01-01},

journal = {Proceedings - 2022 4th International Conference on Applied Automation and Industrial Diagnostics, ICAAID 2022},

abstract = {Stability analysis of controlled nonlinear systems is a problem of fundamental importance in system engineering. This paper elaborates an explicit numerical technique to maximize a quadratic Lyapunov function for the class of polynomial nonlinear models. Using the computed Lyapunov function an enlarged subsets of the basin of attraction of an asymptotically stable equilibrium can be computed in an iterative analytical way. We mainly use the Carleman linearization technique that converts a nonlinear autonomous system of finite dimension into an equivalent linear infinite dimension one. We implement the sampling technique as a numerical tool allowing the maximization of estimated regions of attraction. An example is given to demonstrate the efficiency of the proposed approach. The numerical study analysis of the designed scheme is led using the Matlab software environment. © 2022 IEEE.},

note = {Cited by: 0},

keywords = {Asymptotically stable equilibrium, Basins of attraction, Carleman linearization, Domain of attraction, Iterative methods, Linearization, Lyapunov functions, Lyapunov's functions, Lypaunov functions, MATLAB, Non-linear modelling, Nonlinear systems, Numerical methods, Numerical techniques, Quadratic lyapunov function, Stability analyze, System stability},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663b,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265b,

title = {System identification using fractional hammerstein models},

author = {Mohamed Aoun and Rachid Malti and Olivier Cois and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265,

title = {System identification using fractional hammerstein models},

author = {Mohamed Aoun and Rachid Malti and Olivier Cois and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}