Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities

Abstract

In this paper, we feature a new criterion using an input-output-to-state stability (LOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality WO-based criterion eliminates the presence of limit cycles and ensures not only the TOSS of digital filters but also their asymptotic stability when external interference is exhausted. Through several numerical examples, the effectiveness of the proposed criterion is illustrated, and it is shown that it covers a broad class of nonlinearities, namely saturation, zeroing, two's complement, and triangular. (C) 2018 Elsevier B.V. All rights reserved.