$H_{\infty}$ Control for $2D$ Continuous Singular Systems Described by the Roesser Model

This paper considers the problem of
$H_{\infty}$
control for continuous
$2D$
singular systems described by the Roesser model. A state feedback controller is investigated using linear matrix inequalities (LMIs), such that the closed-loop system is regular, stable, impulse free and guarantee a specified
$H_{\infty}$
performance.. A numerical example is presented to show the effectiveness of the proposed method.