2015 |
Hmed, A. Ben; Amairi, M.; Aoun, M. Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind Article de journal Dans: Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1-3, p. 842 – 865, 2015, (Cited by: 12). Résumé | Liens | BibTeX | Étiquettes: Convergence of numerical methods, Damping, Fractional order, Fractional systems, Frequency domain analysis, Frequency domain curves, Frequency domains, Functions of the second kind, Resonance, Resonance analysis, Resonance condition, Stability, Time domain, Transfer functions @article{BenHmed2015842b,This paper deals with stability and resonance conditions of the non-commensurate elementary fractional transfer function of the second kind. This transfer function is a generalization of the elementary fractional transfer function of the second kind to an arbitrary order. It is written in the canonical form and characterized by a non-commensurate order, a pseudo-damping factor and a natural frequency. Stability and resonance analysis is done in terms of the pseudo-damping factor and the non-commensurate order. Also, an overall study of frequency-domain and time-domain performances of the considered system is done. Therefore many time-domain and frequency-domain curves are presented to help obtaining system parameters for a specified fractional order. Many illustrative examples show the efficiency of this study. Also, an application to the control of a spherical tank is also presented to show the usefulness of this study. © 2014 Elsevier B.V. |
Hmed, A. Ben; Amairi, M.; Aoun, M. Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind Article de journal Dans: Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1-3, p. 842 – 865, 2015, (Cited by: 12). Résumé | Liens | BibTeX | Étiquettes: Convergence of numerical methods, Damping, Fractional order, Fractional systems, Frequency domain analysis, Frequency domain curves, Frequency domains, Functions of the second kind, Resonance, Resonance analysis, Resonance condition, Stability, Time domain, Transfer functions @article{BenHmed2015842c,This paper deals with stability and resonance conditions of the non-commensurate elementary fractional transfer function of the second kind. This transfer function is a generalization of the elementary fractional transfer function of the second kind to an arbitrary order. It is written in the canonical form and characterized by a non-commensurate order, a pseudo-damping factor and a natural frequency. Stability and resonance analysis is done in terms of the pseudo-damping factor and the non-commensurate order. Also, an overall study of frequency-domain and time-domain performances of the considered system is done. Therefore many time-domain and frequency-domain curves are presented to help obtaining system parameters for a specified fractional order. Many illustrative examples show the efficiency of this study. Also, an application to the control of a spherical tank is also presented to show the usefulness of this study. © 2014 Elsevier B.V. |
2014 |
Hmed, A. Ben; Amairi, M.; Aoun, M. Fractional order controller design using time-domain specifications Conférence 2014, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Automation, Closed loop systems, Closed-loop behavior, Control design, Controller designs, Controllers, Convergence of numerical methods, Design, Fractional controllers, Fractional systems, Fractional-order controllers, Numerical methods, Resonance, Time domain, Time domain analysis, Time-domain specifications @conference{BenHmed2014462b,This paper deals with the design of a fractional controller to achieve a desired closed loop system. Based on the resonance and time-domain studies of the desired closed-loop behavior, the controller design is carried out by a pole-compensator method. Numerical examples are proposed to show the efficiency of the proposed technique. © 2014 IEEE. |
Hmed, A. Ben; Amairi, M.; Aoun, M. Fractional order controller design using time-domain specifications Conférence 2014, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Automation, Closed loop systems, Closed-loop behavior, Control design, Controller designs, Controllers, Convergence of numerical methods, Design, Fractional controllers, Fractional systems, Fractional-order controllers, Numerical methods, Resonance, Time domain, Time domain analysis, Time-domain specifications @conference{BenHmed2014462c,This paper deals with the design of a fractional controller to achieve a desired closed loop system. Based on the resonance and time-domain studies of the desired closed-loop behavior, the controller design is carried out by a pole-compensator method. Numerical examples are proposed to show the efficiency of the proposed technique. © 2014 IEEE. |
2012 |
Amairi, Messaoud; Aoun, Mohamed; Najar, Slaheddine; Abdelkrim, Mohamed Naceur Set membership parameter estimation of linear fractional systems using parallelotopes Conférence 2012, (Cited by: 11). Résumé | Liens | BibTeX | Étiquettes: Algorithms, Fractional model, Fractional systems, Parameter estimation, Set-membership, Time domain @conference{Amairi2012c,The paper deals with set-membership parameter estimation of fractional models in the time-domain. In such a context, the noise is supposed to be unknown-but-bounded with a priori known bounds. The proposed algorithm computes the set of all feasible parameters represented by a parallelotop. Simulation results and performance comparaison with the ellipsoidal approach are also given. © 2012 IEEE. |
Publications
2015 |
Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind Article de journal Dans: Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1-3, p. 842 – 865, 2015, (Cited by: 12). |
Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind Article de journal Dans: Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1-3, p. 842 – 865, 2015, (Cited by: 12). |
2014 |
Fractional order controller design using time-domain specifications Conférence 2014, (Cited by: 1). |
Fractional order controller design using time-domain specifications Conférence 2014, (Cited by: 1). |
2012 |
Set membership parameter estimation of linear fractional systems using parallelotopes Conférence 2012, (Cited by: 11). |