Two-dimensional digital filters described by Roesser model with interference attenuation

To the present time, stability criteria have been proposed for one-dimensional digital filters with external interference, but no stability criterion exists for cases where two-dimensional digital filters have external interference. In this paper, we propose a new criterion for the elimination of overflow oscillations in two-dimensional digital filters described by Roesser model with saturation arithmetic and external interference. This criterion ensures asymptotic stability with a guaranteed H∞H∞ performance. The proposed criterion is represented in terms of linear matrix inequality (LMI); thus, it is computationally efficient. Illustrative examples are given to demonstrate the effectiveness of the proposed criterion.

► A new and first criterion for the H∞H∞ performance of 2D digital filters with external interference is proposed.
► The effect of external interference can be attenuated to an interference attenuation level.
► This criterion ensures asymptotic stability without external interference.
► The criterion is represented by linear matrix inequality (LMI).