H ∞ model reduction of linear continuous-time systems over finite-frequency interval

This article studies the H∞ model reduction problem for linear continuous-time systems over a finite-frequency interval. Different from the existing methods in the literature, we resort to the aid of recently developed generalised Kalman–Yakubovich–Popov (GKYP) lemma. Based on a in-depth exploitation of the GKYP lemma and the Projection lemma, sufficient conditions for the finite-frequency H∞ model reduction problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs), which can be handled easily by using the available toolbox. Numerical examples are included for illustration.