Robust finite frequency H<SUB align="right"> filtering for uncertain continuous-time systems

Abstract

In this paper, the H filtering problem for a class of continuous-time polytopic uncertain systems is studied. Different from the traditional methods dealing with polytopic uncertainties in the full frequency domain, not only its values but also the finite frequency (FF) cases are considered. Our goal is to design the filters guaranteeing an H performance level in the finite frequency (FF) domains. By using the generalised Kalman-Yakubovich-Popov (gKYP) lemma, polynomially parameter-dependent Lyapunov function and some key matrices, we establish new sufficient conditions to characterise this problem in terms of linear matrix inequalities (LMIs). Finally, a two examples are used to show the superiority and effectiveness of the proposed methods.