The Complex Adaptive Delta-Modulator in Sliding Mode Theory

In this paper, we consider the stability and various dynamical behaviors of both discrete-time delta modulator ([Formula: see text]-M) and adaptive [Formula: see text]-M. The stability constraints and conditions of [Formula: see text]-M and adaptive [Formula: see text]-M are derived following the th...

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Autor principal: Almakhles, Dhafer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517384/
https://www.ncbi.nlm.nih.gov/pubmed/33286585
http://dx.doi.org/10.3390/e22080814
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author Almakhles, Dhafer
author_facet Almakhles, Dhafer
author_sort Almakhles, Dhafer
collection PubMed
description In this paper, we consider the stability and various dynamical behaviors of both discrete-time delta modulator ([Formula: see text]-M) and adaptive [Formula: see text]-M. The stability constraints and conditions of [Formula: see text]-M and adaptive [Formula: see text]-M are derived following the theory of quasi-sliding mode. Furthermore, the periodic behaviors are explored for both the systems with steady-state inputs and certain parameter values. The results derived in this paper are validated using simulated examples which confirms the derived stability conditions and the existence of periodicity.
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spelling pubmed-75173842020-11-09 The Complex Adaptive Delta-Modulator in Sliding Mode Theory Almakhles, Dhafer Entropy (Basel) Article In this paper, we consider the stability and various dynamical behaviors of both discrete-time delta modulator ([Formula: see text]-M) and adaptive [Formula: see text]-M. The stability constraints and conditions of [Formula: see text]-M and adaptive [Formula: see text]-M are derived following the theory of quasi-sliding mode. Furthermore, the periodic behaviors are explored for both the systems with steady-state inputs and certain parameter values. The results derived in this paper are validated using simulated examples which confirms the derived stability conditions and the existence of periodicity. MDPI 2020-07-25 /pmc/articles/PMC7517384/ /pubmed/33286585 http://dx.doi.org/10.3390/e22080814 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Almakhles, Dhafer
The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title_full The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title_fullStr The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title_full_unstemmed The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title_short The Complex Adaptive Delta-Modulator in Sliding Mode Theory
title_sort complex adaptive delta-modulator in sliding mode theory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517384/
https://www.ncbi.nlm.nih.gov/pubmed/33286585
http://dx.doi.org/10.3390/e22080814
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