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

This paper studies the model reduction problem for linear continuous-time systems over finite frequency interval. Different form the existing methods in the literature, we resort the problem to the aid of recently developed Generalized Kalman-Yakubovich-Popov (GKYP) lemma. A finite frequency H_infin model reduction design method is presented in terms of solutions to a set of linear matrix inequalities (LMIs). Numerical examples are included for illustration.