A NEW LMI CRITERION FOR THE REALIZATION OF LIMIT CYCLE-FREE DIRECT FORM DIGITAL FILTERS WITH SATURATION ARITHMETIC

摘要

In this paper, we propose a new criterion in the form of linear matrix inequality (LMI) for the elimination of limit cycles in direct form digital filters with saturation arithmetic and external interference. The proposed criterion not only guarantees asymptotic stability, but also reduces the effect of external interference to an fo - Zoo induced norm constraint. The criterion can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.