Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback

Unveil uncertain forces acting into (or onto) systems is a very interesting and old problem. Indeed, a lot effort has been devoted to develop procedures which results in the understanding of the uncertain forces and its effects. This contribution deals with recovering of the dynamics of the uncerta...

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Main Authors: R. Femat, C. Jiménez-gallegos
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000443
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author R. Femat
C. Jiménez-gallegos
author_facet R. Femat
C. Jiménez-gallegos
author_sort R. Femat
collection DOAJ
description Unveil uncertain forces acting into (or onto) systems is a very interesting and old problem. Indeed, a lot effort has been devoted to develop procedures which results in the understanding of the uncertain forces and its effects. This contribution deals with recovering of the dynamics of the uncertain forces from measurements (time series). The main idea is to construct an internal model of the nonlinear system and design a discretetime feedback in such way that the model/system differences be stabilized at origin. In principle, if the internal model tracks the trajectory of the nonlinear system, then the uncertain force is recovered by the stabilizing command.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2000-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-24027d1f808b4af0b05bcb39c0cbfd022025-02-03T01:30:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-0152899610.1155/S1026022600000443Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedbackR. Femat0C. Jiménez-gallegos1Universidad Autónoma de San Luis Potosí Apdo Postal 3-90, S.L.P., San Luis Potosí 78231, MexicoUniversidad Autónoma de San Luis Potosí Apdo Postal 3-90, S.L.P., San Luis Potosí 78231, MexicoUnveil uncertain forces acting into (or onto) systems is a very interesting and old problem. Indeed, a lot effort has been devoted to develop procedures which results in the understanding of the uncertain forces and its effects. This contribution deals with recovering of the dynamics of the uncertain forces from measurements (time series). The main idea is to construct an internal model of the nonlinear system and design a discretetime feedback in such way that the model/system differences be stabilized at origin. In principle, if the internal model tracks the trajectory of the nonlinear system, then the uncertain force is recovered by the stabilizing command.http://dx.doi.org/10.1155/S1026022600000443Discrete-time feedback; Dynamic uncertainties estimation.
spellingShingle R. Femat
C. Jiménez-gallegos
Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
Discrete Dynamics in Nature and Society
Discrete-time feedback; Dynamic uncertainties estimation.
title Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
title_full Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
title_fullStr Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
title_full_unstemmed Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
title_short Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback
title_sort unveiling uncertain forces in second order driven oscillators via internal model a discrete time feedback
topic Discrete-time feedback; Dynamic uncertainties estimation.
url http://dx.doi.org/10.1155/S1026022600000443
work_keys_str_mv AT rfemat unveilinguncertainforcesinsecondorderdrivenoscillatorsviainternalmodeladiscretetimefeedback
AT cjimenezgallegos unveilinguncertainforcesinsecondorderdrivenoscillatorsviainternalmodeladiscretetimefeedback