H∞ model reduction of discrete-time linear state delayed systems over finite-frequency ranges

The finite-frequency model reduction problem of linear discrete time systems with state delay was investigated in this paper. Finite-frequency H
_∞
norm was adopted to characterize the approximation performance, and an LMI approach was proposed based on the recent generalized results of GKYP lemma. A numerical example was carried out to illustrate the effectiveness of the proposed method.