Robust ℋ2 filter design for polytopic linear systems via LMIs and polynomial matrices

This paper presents new linear matrix inequality conditions for full order robust ℋ
₂
filter design for continuous and discrete-time polytopic linear systems with time-invariant uncertainty. Thanks to the use of a larger number of slack variables, the proposed conditions are less conservative than the existing conditions in the literature, containing recently published results as particular cases. Examples illustrate the better performance of the proposed filters when compared to other approaches for robust filter design.