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

Priyanka Kokil, Srinivasulu Jogi, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we feature a new criterion using an input–output-to-state stability (IOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality (LMI)-based criterion eliminates the presence of limit cycles and ensures not only the IOSS 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.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalSignal Processing
Volume148
DOIs
Publication statusPublished - 2018 Jul 1

Keywords

  • Asymptotic stability
  • Digital filters
  • Generalized overflow nonlinearities
  • Input–output-to-state stability
  • Limit cycles
  • Nonlinear system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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