Publications

@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{Walid2014343b,

title = {Modeling and control of a quadrotor UAV},

author = {Mizouri Walid and Najar Slaheddine and Aoun Mohamed and Bouabdallah Lamjed},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84949924882\&doi=10.1109%2fSTA.2014.7086762\&partnerID=40\&md5=db71272eff7a282d2cd18cd653d2cd93},

doi = {10.1109/STA.2014.7086762},

year  = {2014},

date = {2014-01-01},

journal = {STA 2014 - 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering},

pages = {343 \textendash 348},

abstract = {In the recent years, the control of Unmanned Aerial Vehicles (UAV) has become one of the most interesting field of research, especially for Vertical Take-Off and Landing vehicles (VTOL), due to the needs to such system, the simplicity of their construction and due to the important technological advances in control boards, sensors, communication tools, energy storage. In this paper, a mathematical model has been developed with Lagrange formalism and a control approach based on Proportional Derivative PD controller has been built and provided with numerical simulation in MATLAB/Simulink. © 2014 IEEE.},

note = {Cited by: 20},

keywords = {Automation, Communication tools, Lagrange formalism, MATLAB, Modeling and control, Models, PD control, Proportional derivatives, Quad rotors, Technological advances, Trajectories, Unmanned aerial vehicles (UAV), Vehicle to vehicle communications, Vehicles, Vertical take-off and landings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Walid2014343,

title = {Modeling and control of a quadrotor UAV},

author = {Mizouri Walid and Najar Slaheddine and Aoun Mohamed and Bouabdallah Lamjed},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84949924882\&doi=10.1109%2fSTA.2014.7086762\&partnerID=40\&md5=db71272eff7a282d2cd18cd653d2cd93},

doi = {10.1109/STA.2014.7086762},

year  = {2014},

date = {2014-01-01},

journal = {STA 2014 - 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering},

pages = {343 \textendash 348},

abstract = {In the recent years, the control of Unmanned Aerial Vehicles (UAV) has become one of the most interesting field of research, especially for Vertical Take-Off and Landing vehicles (VTOL), due to the needs to such system, the simplicity of their construction and due to the important technological advances in control boards, sensors, communication tools, energy storage. In this paper, a mathematical model has been developed with Lagrange formalism and a control approach based on Proportional Derivative PD controller has been built and provided with numerical simulation in MATLAB/Simulink. © 2014 IEEE.},

note = {Cited by: 20},

keywords = {Automation, Communication tools, Lagrange formalism, MATLAB, Modeling and control, Models, PD control, Proportional derivatives, Quad rotors, Technological advances, Trajectories, Unmanned aerial vehicles (UAV), Vehicle to vehicle communications, Vehicles, Vertical take-off and landings},

pubstate = {published},

tppubtype = {conference}

}