H_∞ Filtering for Spatially Interconnected Time‐Delay Systems with Interconnected Chains in Finite Frequency Domains

Abstract

This paper deals with the problem of delay-dependent H ∞ filtering for spatially interconnected time-delay systems (SITSs) with interconnected chains in finite frequency domains. First, a multidimensional (N-D) hybrid time-delay Roesser model and a delay-dependent finite frequency bounded ream lemma (BRL) for SITSs with interconnected chains are proposed. Then, using the obtained delay-dependent finite frequency BRL, a finite frequency H ∞ filter design method can be derived by solving a set of linear matrix inequalities (LMIs). Finally, a practical example is provided to clearly demonstrate the effectiveness of the proposed method.