Robust H2 and H∞ Filter Design for Continuous‐time Uncertain Linear Fractional Transformation Systems via LMI

Abstract

AbstractThis paper considers the problem of robust H2 and H∞ filter design for uncertain continuous‐time linear systems. Linear fractional transformation (LFT) representation is considered for the uncertainty modeling and by definition of large number of slack variables, extra free dimensions are provided to the H2 and H∞ filter design optimization problem, so method presented in this paper expected to be less conservative than the existing methods for the polytopic uncertain systems and its efficiency for filter design is illustrated by means of numerical comparisons with some benchmark examples from the literature.