L2-gain filter design for continuous-time LPV systems in finite frequency domain

Abstract

Abstract This paper provides an approach for synthesizing gain-scheduled and robust filters for linear parameter-varying continuous-time systems in finite frequency ranges with guaranteed L2-gain performance. The technique is based on the well-known generalized KYP lemma, which relates frequency-domain inequalities to semi-definite constraints. The time-varying parameters are assumed to be measurable online and, furthermore, to have known bounds of variation. Filtering design conditions with guaranteed L2-gain performance are proposed in the form of parameter-dependent linear matrix inequalities (LMIs), which can be solved in terms of LMI relaxations. Numerical examples borrowed from the literature illustrate the advantages (improved performance) of the proposed approach when compared to other available methods.