Dissipativity enforcement for continuous-time systems over finite frequency ranges

摘要

This paper introduces a new LMI-based approach to dissipativity enforcement for finite frequency linear continuoustime system. 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 dissipativity enforcement problems for systems with apriori known operating frequency range.Based on the Generalized KYP (GKYP) Lemma, dissipativity enforcement problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs).Numerical example was included for illustration.