Practical stabilization of time-delay fractional-order systems by parametric controllers

Narges Tahmasbi; Hojjat Ahsani Tehrani; Javad Esmaeili

doi:10.1016/j.isatra.2019.05.014

Practical stabilization of time-delay fractional-order systems by parametric controllers

ISA Trans. 2019 Dec:95:211-220. doi: 10.1016/j.isatra.2019.05.014. Epub 2019 May 17.

Authors

Narges Tahmasbi¹, Hojjat Ahsani Tehrani², Javad Esmaeili³

Affiliations

¹ Faculty of Mathematics Sciences, Shahrood University of Technology, Shahrood, Iran. Electronic address: n.tahmasbi@shahroodut.ac.ir.
² Faculty of Mathematics Sciences, Shahrood University of Technology, Shahrood, Iran. Electronic address: hahsani@shahroodut.ac.ir.
³ Department of Sciences, Islamic Azad University of Shahrood, Shahrood, Iran. Electronic address: jesmaeili@iau-shahrood.ac.ir.

PMID: 31155172
DOI: 10.1016/j.isatra.2019.05.014

Abstract

This paper stabilization of time-delayed fractional-order systems by unlimited controllers is considered. To achieve the best controller so that the system be stable, the parameters of the feedback matrices are determinate with the minimum norm. Various constraints applied by the designer to obtain the desired performance criteria. We use the partial eigenvalue assignment (PEVA) method to decrease the constraints and ranks of matrices. The presented method is implemented in two numerical examples.

Keywords: Fractional-order; Norm minimization; Parameterization; Partial eigenvalues; State feedback matrix; Time-delay.