Feedback control of time-delay systems with bounded control and state

Feedback control of time-delay systems with bounded control and state

This paper is concerned with the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non-symmetrical polyhedral set to be positively invariant are obtained. Then existence conditions of linear state fe...

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Main Authors: M. Dambrine, J. P. Richard, P. Borne
Format: Article
Language:English
Published: Hindawi Limited 1995-01-01
Series:Mathematical Problems in Engineering
Subjects:
Constrained control
differential–difference equations
polyhedral sets
invariance.
Online Access:http://dx.doi.org/10.1155/S1024123X95000081
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spelling doaj-71ec95e499f541f6bbcd838ea70d7e2f2020-11-24T23:48:16ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471995-01-0111778710.1155/S1024123X95000081Feedback control of time-delay systems with bounded control and stateM. Dambrine0J. P. Richard1P. Borne2Ecole Centrale de Lille, LAIL-URA CNRS D 1440, BP 48, 59651 Villeneuve d'Ascq, Cedex, FranceEcole Centrale de Lille, LAIL-URA CNRS D 1440, BP 48, 59651 Villeneuve d'Ascq, Cedex, FranceEcole Centrale de Lille, LAIL-URA CNRS D 1440, BP 48, 59651 Villeneuve d'Ascq, Cedex, FranceThis paper is concerned with the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non-symmetrical polyhedral set to be positively invariant are obtained. Then existence conditions of linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper concerns memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.http://dx.doi.org/10.1155/S1024123X95000081Constrained controldifferential–difference equationspolyhedral setsinvariance.
collection DOAJ
language English
format Article
sources DOAJ
author M. Dambrine
J. P. Richard
P. Borne
spellingShingle M. Dambrine
J. P. Richard
P. Borne
Feedback control of time-delay systems with bounded control and state
Mathematical Problems in Engineering
Constrained control
differential–difference equations
polyhedral sets
invariance.
author_facet M. Dambrine
J. P. Richard
P. Borne
author_sort M. Dambrine
title Feedback control of time-delay systems with bounded control and state
title_short Feedback control of time-delay systems with bounded control and state
title_full Feedback control of time-delay systems with bounded control and state
title_fullStr Feedback control of time-delay systems with bounded control and state
title_full_unstemmed Feedback control of time-delay systems with bounded control and state
title_sort feedback control of time-delay systems with bounded control and state
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 1995-01-01
description This paper is concerned with the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non-symmetrical polyhedral set to be positively invariant are obtained. Then existence conditions of linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper concerns memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.
topic Constrained control
differential–difference equations
polyhedral sets
invariance.
url http://dx.doi.org/10.1155/S1024123X95000081
work_keys_str_mv AT mdambrine feedbackcontroloftimedelaysystemswithboundedcontrolandstate
AT jprichard feedbackcontroloftimedelaysystemswithboundedcontrolandstate
AT pborne feedbackcontroloftimedelaysystemswithboundedcontrolandstate
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