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, ISSN: 0924090X, (cited By 70). Résumé | Liens | BibTeX | Étiquettes: Algorithms; Carbon monoxide; Constrained optimization; Damping; Design; Electric control equipment; Frequency bands; Frequency domain analysis; Optimization; Proportional control systems; Robustness (control systems); Three term control systems; Uncertain systems, Fractional PID; Fractional-order PID controllers; Frequency-domain design; Iso-damping property; Numerical optimization algorithms; Numerical optimizations; Test benches; Uncertainty, Numerical methods @article{Saidi20151817, 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. |
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, ISSN: 0924090X, (cited By 70). |