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.

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.