Robust reduced-order H∞ filter design for uncertain 2-D continuous systems with time-varying delays

This paper is concerned with the problem of designing H
∞
filters of reduced order for two dimensional (2-D) continuous systems with delay dependent described by the Roesser models, with uncertain state space matrices. These reduced-order filters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H
∞
noise attenuation. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. the numerical example are presented to illustrate the effectiveness of the proposed methodology.