Elimination of Overflow Oscillations in 2-D Digital Filters Employing Saturation Arithmetic: an Lmi Approach

Abstract

A computationally tractable, i.e., linear matrix inequality (LMI)-based criterion for the elimination of overflow oscillations in two-dimensional (2-D) state-space digital filters described by the Roesser model using saturation arithmetic is presented. The criterion is a generalization over an earlier LMI-based criterion.