<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si382.svg" display="inline" id="d1e409"> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:math> filtering for 2-D Roesser

This paper discusses the H ∞ filtering problem for a type of two-dimensional (2-D) Roesser systems under the weighted try-once-discard (WTOD) protocol. Here, the WTOD protocol is adopted to allocate resources reasonably in a bandwidth-limited communication network. Under this protocol, each sensor measurement is assigned a predefined priority weight. At each sampling instant, only the measurement with the highest weight can be transmitted while the others are discarded. The aim of this work is to design an H ∞ filter to ensure the asymptotical stability and finite frequency (FF) H ∞ interference attenuation level for filtering error systems under the addressed communication protocol. Projection lemma and the well-known generalized Kalman–Yakubovich–Popov (GKYP) lemma are carried out to obtain a sufficient condition for the existence of an H ∞ filter in the presence of the exogenous input with energy bounded, and a set of linear matrix inequalities is then solved to get the filter gain. Finally, illustrative examples are provided to illustrate the usefulness of the proposed results. The contributions of this work are twofold: (1) Considering the WTOD protocol under the Roesser model, it can better reflect the practical engineering; (2) This paper provides a theoretical reference for the H ∞ filtering problem of the Roesser model under the other communication protocols.