2015 |
Hmed, A. Ben; Amairi, M.; Aoun, M. Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications @conference{BenHmed2015c,The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE. |
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. Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications @conference{BenHmed2015e,The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE. |
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.; Najar, S.; Aoun, M. Resonance study of an elementary fractional transfer function of the third kind Conférence 2014, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions @conference{BenHmed2014c,This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 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{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.; Najar, S.; Aoun, M. Resonance study of an elementary fractional transfer function of the third kind Conférence 2014, (Cited by: 3). Résumé | Liens | BibTeX | Étiquettes: Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions @conference{BenHmed2014e,This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 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. |