A \texttt{Matlab} Toolbox for the Regularization of Descriptor Systems Arising from Generalized Realization Procedures

TL;DR

This paper presents a Matlab toolbox designed to regularize descriptor systems, especially those derived from generalized realization procedures, to enable their effective use in simulation, optimization, and control tasks.

Contribution

It introduces a novel Matlab toolbox specifically for regularizing descriptor systems obtained from generalized realization methods, facilitating their practical application.

Findings

The toolbox effectively regularizes descriptor systems from rational interpolation.

It improves the usability of systems for simulation and control.

The approach enhances the robustness of generalized realization procedures.

Abstract

In this report we introduce a \texttt{Matlab} toolbox for the regularization of descriptor systems. We apply it, in particular, for systems resulting from the generalized realization procedure of \cite{MayA07}, which generates, via rational interpolation techniques, a linear \emph{descriptor system} from interpolation data. The resulting system needs to be regularized to make it feasible for the use in simulation, optimization, and control. This process is called \emph{regularization}