2023 |
Dabbaghi, Boudour; Hamidi, Faical; Jerbi, Houssem; Aoun, Mohamed Estimating and enlarging the domain of attraction for a nonlinear system with input saturation Conférence 2023. Résumé | Liens | BibTeX | Étiquettes: Actuator saturations, Algebra, Algebraic representations, Computational geometry, Convex hull, Differential algebraic, Differential algebraic representation, Domain of attraction, Input saturation, Nonlinear, Nonlinear systems, Stabilization problems @conference{Dabbaghi2023b, 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. |
2022 |
Yakoub, Zaineb; Amairi, Messaoud; Chetoui, Manel; Aoun, Mohamed Bias Recursive Least Squares Method for Fractional Order System Identification Conférence 2022, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Additive noise, Algebra, Bias compensation, Fractional order, Fractional order differentiation, Fractional-order systems, Identification, Least Square, Least squares approximations, Model problems, Modelling and identifications, Recursive least-squares method, System-identification @conference{Yakoub20221003b, This paper mainly studies the modeling and identification problems for fractional order systems. A novel modeling scheme based on an online identification technique is investigated. Firstly, the recursive least squares algorithm is applied to identify the fractional order system. However, if the measurement of the output signal is affected by an additive noise this algorithm is unable to give consistent estimates. Thus, this contribution implements a technique based on the bias compensation principle. The main idea is to eliminate the introduced bias by adding a correction term in the recursive least squares estimates. The results of the simulated example indicate that the proposed estimator provides good accuracy. © 2022 IEEE. |
2012 |
Amairi, Messaoud; Aoun, Mohamed; Najar, Slaheddine; Abdelkrim, Mohamed Naceur Guaranteed frequency-domain identification of fractional order systems: Application to a real system Article de journal Dans: International Journal of Modelling, Identification and Control, vol. 17, no. 1, p. 32 – 42, 2012, (Cited by: 20). Résumé | Liens | BibTeX | Étiquettes: Algebra, Constrained optimization, Fractional differentiation, Fractional systems, Frequency domain analysis, Frequency domains, Global optimisation, Global optimization, Identification (control systems), Parameter estimation, Real intervals, Satisfaction problem @article{Amairi201232b, This paper presents a new guaranteed approach for frequency-domain identification of fractional order systems. Estimated parameters (coefficients and differential orders) are expressed as intervals. Then, an interval-based global optimisation algorithm is used to estimate the set of all feasible parameters. It combines the Hansen’s algorithm with forward-backward contractor. The approach is applied to a numerical example as well as to a real electronic system. Copyright © 2012 Inderscience Enterprises Ltd. |
2003 |
Malti, Rachid; Aoun, Mohamed; Cois, Olivier; Oustaloup, Alain; Levron, François H2 norm of fractional differential systems Conférence vol. 5 A, 2003, (Cited by: 19). Liens | BibTeX | Étiquettes: Algebra, Computer simulation, Differential equations, Differentiation (calculus), Explicit systems, Fractional differential systems, Impulse response, Laplace transforms, Mathematical models, Theorem proving, Transfer functions @conference{Malti2003729b, |
Malti, Rachid; Aoun, Mohamed; Cois, Olivier; Oustaloup, Alain; Levron, François H2 norm of fractional differential systems Conférence vol. 5 A, 2003, (Cited by: 19). Liens | BibTeX | Étiquettes: Algebra, Computer simulation, Differential equations, Differentiation (calculus), Explicit systems, Fractional differential systems, Impulse response, Laplace transforms, Mathematical models, Theorem proving, Transfer functions @conference{Malti2003729, |
Publications
2023 |
Estimating and enlarging the domain of attraction for a nonlinear system with input saturation Conférence 2023. |
2022 |
Bias Recursive Least Squares Method for Fractional Order System Identification Conférence 2022, (Cited by: 0). |
2012 |
Guaranteed frequency-domain identification of fractional order systems: Application to a real system Article de journal Dans: International Journal of Modelling, Identification and Control, vol. 17, no. 1, p. 32 – 42, 2012, (Cited by: 20). |
2003 |
H2 norm of fractional differential systems Conférence vol. 5 A, 2003, (Cited by: 19). |
H2 norm of fractional differential systems Conférence vol. 5 A, 2003, (Cited by: 19). |