H∞ control of 2D discrete singular systems

The design of H
_∞
controllers for 2D discrete singular systems is studied here for Roesser models. More precisely, the problem addressed is the design of state feedback controllers that guarantee the acceptability, internal stability and causality of the closed-loop system, with a prescribed H
_∞
performance level. By using an adapted version of the bounded real lemma, a new linear matrix inequality condition is obtained for the existence of a desired H
_∞
controller. An illustrative example is presented to show the applicability of the proposed method.