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This paper discusses the H∞ model reduction problem for linear continuous-time systems with pure state delay. Different from the conventional entire-frequency H∞ approximation performance specification, finite-frequency H∞ norm was adopted in this paper, which is a more suitable index to characterize the model reduction problems for systems with apriori known operating frequency range. Based on the recently developed TDS GKYP (time delay system Generalized Kalman-Yakubovich-Popov) 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). Numerical example was included for illustration.
Date of Conference: 23-25 May 2012