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. |
Publications
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). |