On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control

On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control

This paper solves the problem of controlling linear continuous-time systems subject to control signals constrained in magnitude (maybe asymmetrically). A controller design methodology is proposed, based on using an asymmetric Lyapunov function, that avoids the discontinuities in the control vector c...

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Main Authors: A. Baddou, M. Naib, F. Tadeo, A. Benzaouia
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE/2006/89429
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spelling doaj-0801fdf32267458ca35580b2889567382020-11-24T20:51:46ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/8942989429On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained controlA. Baddou0M. Naib1F. Tadeo2A. Benzaouia3Département de Génie Industriel, Ecole Nationale des Sciences Appliquées, Ibn Zohr University, BP 1136, Agadir 80000, MoroccoConstrained and Robust Regulation Research Unit, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, BP 2390, Marrakech, MoroccoDepartamento Ingeniería de Sistemas y Automática, Universidad de Valladolid, Valladolid 47005, SpainConstrained and Robust Regulation Research Unit, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, BP 2390, Marrakech, MoroccoThis paper solves the problem of controlling linear continuous-time systems subject to control signals constrained in magnitude (maybe asymmetrically). A controller design methodology is proposed, based on using an asymmetric Lyapunov function, that avoids the discontinuities in the control vector components resulting from the application of a piecewise linear control law previously proposed. The proposed method gives improved speed of convergence without discontinuities of the control vector components, respecting always the imposed asymmetric constraints. An example illustrates the approach.http://dx.doi.org/10.1155/MPE/2006/89429
collection DOAJ
language English
format Article
sources DOAJ
author A. Baddou
M. Naib
F. Tadeo
A. Benzaouia
spellingShingle A. Baddou
M. Naib
F. Tadeo
A. Benzaouia
On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
Mathematical Problems in Engineering
author_facet A. Baddou
M. Naib
F. Tadeo
A. Benzaouia
author_sort A. Baddou
title On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
title_short On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
title_full On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
title_fullStr On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
title_full_unstemmed On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
title_sort on improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2006-01-01
description This paper solves the problem of controlling linear continuous-time systems subject to control signals constrained in magnitude (maybe asymmetrically). A controller design methodology is proposed, based on using an asymmetric Lyapunov function, that avoids the discontinuities in the control vector components resulting from the application of a piecewise linear control law previously proposed. The proposed method gives improved speed of convergence without discontinuities of the control vector components, respecting always the imposed asymmetric constraints. An example illustrates the approach.
url http://dx.doi.org/10.1155/MPE/2006/89429
work_keys_str_mv AT abaddou onimprovingtheconvergencerateoflinearcontinuoustimesystemssubjecttoasymmetricallyconstrainedcontrol
AT mnaib onimprovingtheconvergencerateoflinearcontinuoustimesystemssubjecttoasymmetricallyconstrainedcontrol
AT ftadeo onimprovingtheconvergencerateoflinearcontinuoustimesystemssubjecttoasymmetricallyconstrainedcontrol
AT abenzaouia onimprovingtheconvergencerateoflinearcontinuoustimesystemssubjecttoasymmetricallyconstrainedcontrol
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