Robust \(H_{\infty }\) filtering for uncertain two-dimensional continuous systems with time-varying delays
This paper deals with the problem of delay-dependent robust \(H_{\infty }\) filtering for uncertain two-dimensional (2-D) continuous systems described by Roesser state space model with time-varying delays, with the uncertain parameters assumed to be of polytopic type. A sufficient condition for \(H_{\infty }\) noise attenuation is derived in terms of linear matrix inequalities, so a robust \(H_{\infty }\) filter can be obtained by solving a convex optimization problem. Finally, some examples are provided to illustrate the effectiveness of the proposed methodology.
\(h_{\infty }\) filtering 2-d continuous systems uncertainty delayed states linear matrix inequality (lmi)