| Titre : | Contribution to adaptive control of a class of linearizable, piecewise linear or LPV fractional-order systems |
| Auteurs : | Elouahab Bouguenna, Auteur ; Ladaci, Samir, Directeur de thèse |
| Type de document : | document électronique |
| Editeur : | [S.l.] : [s.n.], 2026 |
| Format : | 1 fichier PDF (4.6 Mo) / ill. |
| Note générale : |
Mode d'accès : accès au texte intégral par intranet.
Thèse de Doctorat : Electronique : Alger, Ecole Nationale Polytechnique : 2026 Bibliogr. p. 175 - 184 |
| Langues : | Anglais |
| Index. décimale : | D002126 |
| Tags : | Fractional calculus Fractional-order PID control (FOPID) Metaheuristic optimization Fractional-order modeling Linearizable nonlinear systems MRAC FOMRAC Power electronics Closed-loop stability |
| Résumé : |
The application of fractional calculus in automatic control has attracted increasing attention from the research community worldwide due to the distinctive properties of fractional-order systems, such as enhanced robustness, fast dynamic response, and memory and hereditary characteristics, which significantly improve control system performance compared to classical integer-order approaches. In this context, fractional-order operators represent a natural and powerful extension of conventional control theory, offering increased flexibility in both system modeling and controller synthesis.
In recent years, fractional derivatives and integrals have proven to be highly effective in accurately modeling the dynamic behavior of real-world systems, particularly those exhibiting memory effects and distributed dynamics. In this context, particular attention is given to a class of fractional-order systems that can be modeled in linearizable, piecewise-linear, or linear parameter-varying (LPV) forms. Consequently, fractional calculus has found widespread applications in the control of dynamical systems when the controlled plant and/or the controller is described by a set of fractional-order differential equations. The main contribution of this work lies in the development and implementation of fractional order control strategies, including fractional-order PID control and fractional-order model reference adaptive control, with the integration of metaheuristic optimization algorithms within the control loop. These strategies aim to ensure the stabilization of a class of linearizable nonlinear systems while guaranteeing robust performance in the presence of external disturbances, parametric uncertainties, and measurement noise affecting the controlled process. Special attention is devoted to power electronics applications, where the considered processes are governed by strongly nonlinear models, particularly in renewable energy conversion and energy management systems. Taking into account the fractional properties of the energy storage elements in these processes, they are first linearized by applying small amplitude perturbations around the steady-state operating point. The proposed control schemes ensure closed-loop stability, asymptotic tracking of reference trajectories, and a reduction in control effort and performance cost. Extensive numerical simulation results demonstrate the effectiveness, robustness, and superiority of the developed fractional-order control schemes. |
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| Code-barres | Cote | Support | Localisation | Section | Disponibilité | Spécialité | Etat_Exemplaire | ||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| T000503 | D002126 | Ressources électroniques | Bibliothèque centrale | Thèse de Doctorat | Disponible | Electronique | En Traitement |
