Adaptive Output Tracking of Driven Oscillators

Heart dynamics are usually unknown and require the application of real-time control technique because of the fatal nature of most cardiac arrhythmias. The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of non...

Full description

Saved in:
Bibliographic Details
Main Authors: Lili Diao, Martin Guay
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2008/641847
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832555414989832192
author Lili Diao
Martin Guay
author_facet Lili Diao
Martin Guay
author_sort Lili Diao
collection DOAJ
description Heart dynamics are usually unknown and require the application of real-time control technique because of the fatal nature of most cardiac arrhythmias. The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. An adaptive learning algorithm is exploited that guarantees the stability of the closed-loop system and convergence of the output tracking error to an adjustable neighborhood of the origin. In addition, good approximation of the unknown nonlinearities is also achieved by incorporating a persistent exciting signal in the parameter update law. The effectiveness of the proposed method is demonstrated by an application to a cardiac conduction system modelled by two coupled driven oscillators.
format Article
id doaj-art-3aa93fae228e49e5baa7461f2359dab2
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2008-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-3aa93fae228e49e5baa7461f2359dab22025-02-03T05:48:18ZengWileyJournal of Control Science and Engineering1687-52491687-52572008-01-01200810.1155/2008/641847641847Adaptive Output Tracking of Driven OscillatorsLili Diao0Martin Guay1Chemical Engineering Department, Queen's University, Kingston, ON, K7L 3N6, CanadaChemical Engineering Department, Queen's University, Kingston, ON, K7L 3N6, CanadaHeart dynamics are usually unknown and require the application of real-time control technique because of the fatal nature of most cardiac arrhythmias. The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. An adaptive learning algorithm is exploited that guarantees the stability of the closed-loop system and convergence of the output tracking error to an adjustable neighborhood of the origin. In addition, good approximation of the unknown nonlinearities is also achieved by incorporating a persistent exciting signal in the parameter update law. The effectiveness of the proposed method is demonstrated by an application to a cardiac conduction system modelled by two coupled driven oscillators.http://dx.doi.org/10.1155/2008/641847
spellingShingle Lili Diao
Martin Guay
Adaptive Output Tracking of Driven Oscillators
Journal of Control Science and Engineering
title Adaptive Output Tracking of Driven Oscillators
title_full Adaptive Output Tracking of Driven Oscillators
title_fullStr Adaptive Output Tracking of Driven Oscillators
title_full_unstemmed Adaptive Output Tracking of Driven Oscillators
title_short Adaptive Output Tracking of Driven Oscillators
title_sort adaptive output tracking of driven oscillators
url http://dx.doi.org/10.1155/2008/641847
work_keys_str_mv AT lilidiao adaptiveoutputtrackingofdrivenoscillators
AT martinguay adaptiveoutputtrackingofdrivenoscillators