2017 |
Guefrachi, Ayadi; Najar, Slaheddine; Amairi, Messaoud; Aoun, Mohamed Tuning of Fractional Complex Order PID Controller Conférence vol. 50, no. 1, 2017, (Cited by: 22; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Calculations, Complex order controllers, Controlled system robustness, Controllers, Delay control systems, Design, Electric control equipment, Fractional calculus, Frequency and time domains, Frequency domain analysis, Gain variations, Numeric optimization, Numerical methods, Numerical optimizations, Optimization, PID controllers, Proportional control systems, Robust control, Three term control systems, Time domain analysis @conference{Guefrachi201714563b,This paper deals with a new structure of Fractional Complex Order Controller (FCOC) with the form PIDx+iy, in which x and y are the real and imaginary parts of the derivative complex order, respectively. A tuning method for the Controller based on numerical optimization is presented to ensure the controlled system robustness toward gain variations and noise. This can be obtained by fulfilling five design requirements. The proposed design method is applied for the control of a Second Order Plus Time Delay resonant system. The effectiveness of the FCOC design method is checked through frequency and time domain analysis. © 2017 |
Yakoub, Z.; Amairi, M.; Chetoui, M.; Saidi, B.; Aoun, M. Model-free adaptive fractional order control of stable linear time-varying systems Article de journal Dans: ISA Transactions, vol. 67, p. 193 – 207, 2017, (Cited by: 22). Résumé | Liens | BibTeX | Étiquettes: Adaptive control systems, Calculations, Controllers, Fractional calculus, Fractional order control, Fractional pid controllers, Frequency characteristic, Frequency domain analysis, Linear time-varying systems, Model-free adaptive control, Numerical methods, Numerical optimizations, Optimization, Robustness (control systems), Selective filtering, Three term control systems, Time varying control systems @article{Yakoub2017193b,This paper presents a new model-free adaptive fractional order control approach for linear time-varying systems. An online algorithm is proposed to determine some frequency characteristics using a selective filtering and to design a fractional PID controller based on the numerical optimization of the frequency-domain criterion. When the system parameters are time-varying, the controller is updated to keep the same desired performances. The main advantage of the proposed approach is that the controller design depends only on the measured input and output signals of the process. The effectiveness of the proposed method is assessed through a numerical example. © 2017 ISA |
Yakoub, Z.; Chetoui, M.; Amairi, M.; Aoun, M. Model-based fractional order controller design Conférence vol. 50, no. 1, 2017, (Cited by: 3; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Bias elimination, Closed loops, Controllers, Fractional differentiation, Frequency domain analysis, Identification for control, Least squares approximations, Optimization, Process control, Recursive least square (RLS) @conference{Yakoub201710431b,This paper deals with model-based fractional order controller design. The objective is identification for controller design in order to achieve the desired closed-loop performances. Firstly, the fractional order closed-loop bias-eliminated least squares method is used to identify the process model. Then, based on the numerical optimization of a frequency-domain criterion, the fractional controller is designed. If the proposed algorithm detects any changes in the process parameters, the controller is updated to keep the same performances. A numerical example is presented to show the efficiency of the proposed scheme. © 2017 |
2015 |
Saidi, B.; Amairi, M.; Najar, S.; Aoun, M. Bode shaping-based design methods of a fractional order PID controller for uncertain systems Article de journal Dans: Nonlinear Dynamics, vol. 80, no. 4, p. 1817 – 1838, 2015, (Cited by: 66). Résumé | Liens | BibTeX | Étiquettes: Algorithms, Carbon monoxide, Constrained optimization, Damping, Design, Electric control equipment, Fractional PID, Fractional-order PID controllers, Frequency bands, Frequency domain analysis, Frequency-domain design, Iso-damping property, Numerical methods, Numerical optimization algorithms, Numerical optimizations, Optimization, Proportional control systems, Robustness (control systems), Test benches, Three term control systems, Uncertain systems, Uncertainty @article{Saidi20151817b,This paper deals with robust fractional order PID controller design via numerical optimization. Three new frequency-domain design methods are proposed. They achieve good robustness to the variation of some parameters by maintaining the open-loop phase quasi-constant in a pre-specified frequency band, i.e., maintaining the iso-damping property of the controlled system. The two first methods are extensions of the well-known Monje-Vinagre et al. method for uncertain systems. They ameliorate the numerical optimization algorithm by imposing the open-loop phase to be flat in a frequency band not only around a single frequency. The third method is an interval-based design approach that simplifies the algorithm by reducing the constraints number and offers a more large frequency band with an iso-damping property. Several numerical examples are presented to show the efficiency of each proposed method and discuss the obtained results. Also, an application to the liquid carbon monoxide level control is presented. © 2014, Springer Science+Business Media Dordrecht. |
Saidi, B.; Amairi, M.; Najar, S.; Aoun, M. Multi-objective optimization based design of fractional PID controller Conférence 2015, (Cited by: 9). Résumé | Liens | BibTeX | Étiquettes: Closed loop systems, Closed-loop behavior, Design, Electric control equipment, Fractional PID, Fractional pid controllers, Fractional-order PID controllers, Frequency bands, Frequency domain analysis, Frequency domains, Frequency specifications, Iso-damping property, Multiobjective optimization, Numerical methods, Phase margins, Proportional control systems, Robustness (control systems), Specifications, Three term control systems @conference{Saidi2015d,This paper deals with robust fractional order PID controller design via numerical multi-objective optimization. The proposed interval-based design scheme uses frequency-domain specifications to ensure a desired closed-loop behavior. By maintaining the desired phase margin quasi-constant in a pre-specified frequency band, it guarantees more robustness to gain uncertainties. This leads to a closed-loop system with an interesting iso-damping property in a more large frequency band than other design methods. A numerical example is presented to show the efficiency of the proposed method and to discuss about the obtained results. © 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. 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.; 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. |
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. |
Publications
2017 |
Tuning of Fractional Complex Order PID Controller Conférence vol. 50, no. 1, 2017, (Cited by: 22; All Open Access, Bronze Open Access). |
Model-free adaptive fractional order control of stable linear time-varying systems Article de journal Dans: ISA Transactions, vol. 67, p. 193 – 207, 2017, (Cited by: 22). |
Model-based fractional order controller design Conférence vol. 50, no. 1, 2017, (Cited by: 3; All Open Access, Bronze Open Access). |
2015 |
Bode shaping-based design methods of a fractional order PID controller for uncertain systems Article de journal Dans: Nonlinear Dynamics, vol. 80, no. 4, p. 1817 – 1838, 2015, (Cited by: 66). |
Multi-objective optimization based design of fractional PID controller Conférence 2015, (Cited by: 9). |
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 |
Resonance study of an elementary fractional transfer function of the third kind Conférence 2014, (Cited by: 3). |
Resonance study of an elementary fractional transfer function of the third kind Conférence 2014, (Cited by: 3). |
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). |