New realizability criterion for digital filters with external disturbance and saturation arithmetic

An improved stability criterion for fixed-point state-space digital filters in the occurrence of external disturbance and saturation nonlinearities by using induced l∞ approach is presented. The realization of state-space digital filters which is free from limit-cycles is brought out by utilizing a...

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Bibliographic Details
Published in:International journal of electronics and communications 2018-02, Vol.85, p.179-182
Main Authors: Kokil, Priyanka, Arockiaraj, S. Xavier, Jogi, Srinivasulu, Kar, Haranath
Format: Article
Language:English
Subjects:
Digital filter
External disturbance
Linear matrix inequality
Nonlinear system
Stability
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Summary:An improved stability criterion for fixed-point state-space digital filters in the occurrence of external disturbance and saturation nonlinearities by using induced l∞ approach is presented. The realization of state-space digital filters which is free from limit-cycles is brought out by utilizing a better characterization of the saturation nonlinearities and free-weighting matrices. The proposed criterion promises exponential stability and also diminishes the influence of external disturbance to a prescribed induced l∞ norm constraint. The superiority of the suggested method for filter design is exemplified by means of numerical examples.
ISSN:1434-8411
1618-0399
DOI:10.1016/j.aeue.2017.12.036