An S-regularity approach to the robust analysis of descriptor models

Abstract

This paper exploits the notion of S-regularity of a matrix pencil to propose insights for the robustness analysis of descriptor models of the form Eẋ = Ax (or Ex k+1 = Ax k for the discrete case) subject to norm-bounded LFT (Linear Fractional Transform)-based uncertainties on both matrices A and E. The property to be studied is the robust D-admissibility (robust D-stability togeteher with robust regularity and robust impulse freeness). All the proposed conditions are expressed in terms of strict LMI (Linear Matrix Inequalities). Two techniques are proposed and numerically compared.