Robust ℋ℞ filter design for polytopic linear discrete-time delay systems via LMIs and polynomial matrices

This paper presents new robust linear matrix inequality conditions for full order robust ℋ_∞ filter design of discrete-time polytopic linear systems affected by a time-varying delay. Thanks to the use of a larger number of slack variables, the proposed conditions are less conservative than the existing methods. Numerical experiments illustrate the better performance of the proposed filter design procedure when compared to other approaches available in the literature.