2014 |
Amairi, M.; Aoun, M.; Saidi, B. Design of robust fractional order PI for FOPDT systems via set inversion Conférence 2014, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Controllers, Design approaches, Different frequency, First order plus dead time, Fractional controllers, Fractional order pI, Interval analysis, Robustness (control systems), Set inversion via interval analysis, Time delay, Uncertainty, Uncertainty analysis @conference{Amairi20141166b, This paper presents a new design approach of a fractional order PI controller for uncertain system with delay. The method uses the set inversion via interval analysis approach to determine the three parameters of the controller in accordance with different frequency specifications. When applied to uncertain delay system, the method computes the interval of each parameter providing the desired performances. Some numerical examples illustrate the effectiveness of the proposed approach in the case of an uncertain first order plus dead time system. © 2014 IEEE. |
2013 |
Hamdi, S. E.; Amairi, M.; Aoun, M.; Abdelkrim, M. N. Interval state observer design for fractional systems Conférence 2013, (Cited by: 2). Résumé | Liens | BibTeX | Étiquettes: Bounded errors, Design, Differential equations, Fractional differential equations, Fractional systems, Initial value problems, Interval analysis, observer, Observer-based, Prediction-correction, State estimation, State observer @conference{Hamdi2013b, This paper presents a design method for interval state observer for fractional systems in a bounded-error context. A causal observer based on prediction-correction approach is proposed. The prediction part consists on a validated solving of an Initial Value Problem (IVP) for a Fractional Differential Equation (FDE) and the correction part uses set inversion algorithm. A numerical example is presented to show the effectiveness of the proposed design method. © 2013 IEEE. |
2010 |
Amairi, Messaoud; Najar, Slaheddine; Aoun, Mohamed; Abdelkrim, M. N. Guaranteed output-error identification of fractional order model Conférence vol. 2, 2010, (Cited by: 13). Résumé | Liens | BibTeX | Étiquettes: Fractional differentiation, Fractional model, Fractional order, Fractional order models, Fractional-order systems, Global optimization, Global optimization techniques, Guaranteed convergence, Identification (control systems), Interval analysis, Optimization, System identifications @conference{Amairi2010246b, A global optimization technique for identifying an output-error fractional order model is proposed. The proposed technique use a modified version of Hansen algorithm. It is capable of estimating the fractional orders and the parameters, with guaranteed convergence. The technique is applied to identify a fractional order system in deterministic and stochastic context. © 2010 IEEE. |
Amairi, M.; Aoun, M.; Najar, S.; Abdelkrim, M. N. A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation Article de journal Dans: Applied Mathematics and Computation, vol. 217, no. 5, p. 2162 – 2168, 2010, (Cited by: 18). Résumé | Liens | BibTeX | Étiquettes: Caputo fractional derivatives, Differential equations, Enclosures, Existence and uniqueness, Fractional order, Initial value problems, Initial values, Interval analysis, Nonlinear equations, Validated computing @article{Amairi20102162b, This paper presents a new method for validating existence and uniqueness of the solution of an initial value problems for fractional differential equations. An algorithm selecting a stepsize and computing a priori constant enclosure of the solution is proposed. Several illustrative examples, with linear and nonlinear fractional differential equations, are given to demonstrate the effectiveness of the method. © 2010 Elsevier Inc. All rights reserved. |
Publications
2014 |
Design of robust fractional order PI for FOPDT systems via set inversion Conférence 2014, (Cited by: 4). |
2013 |
Interval state observer design for fractional systems Conférence 2013, (Cited by: 2). |
2010 |
Guaranteed output-error identification of fractional order model Conférence vol. 2, 2010, (Cited by: 13). |
A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation Article de journal Dans: Applied Mathematics and Computation, vol. 217, no. 5, p. 2162 – 2168, 2010, (Cited by: 18). |