Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a fr...

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Main Authors: Fezazi Nabil El, Haoussi Fatima El, Tissir El Houssaine, Alvarez Teresa, Tadeo Fernando
Format: Article
Language:English
Published: Sciendo 2018-03-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
robust stabilization
sampled-data
time-delay systems
input saturation
admissible initial conditions
lmi
Online Access:https://doi.org/10.2478/amcs-2018-0008
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spelling doaj-a948b562645240cb93f54251a9c6cd672021-09-06T19:41:08ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922018-03-0128111112210.2478/amcs-2018-0008amcs-2018-0008Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitationsFezazi Nabil El0Haoussi Fatima El1Tissir El Houssaine2Alvarez Teresa3Tadeo Fernando4Faculty of Sciences Dhar El Mehraz Sidi Mohammed Ben Abdellah University, LESSI, BP 1796, Fes-Atlas, MoroccoFaculty of Sciences Dhar El Mehraz Sidi Mohammed Ben Abdellah University, LESSI, BP 1796, Fes-Atlas, MoroccoFaculty of Sciences Dhar El Mehraz Sidi Mohammed Ben Abdellah University, LESSI, BP 1796, Fes-Atlas, MoroccoIndustrial Engineering School University of Valladolid, Dr. Mergelina S/N, 47005 Valladolid, SpainIndustrial Engineering School University of Valladolid, Dr. Mergelina S/N, 47005 Valladolid, SpainStabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.https://doi.org/10.2478/amcs-2018-0008robust stabilizationsampled-datatime-delay systemsinput saturationadmissible initial conditionslmi
collection DOAJ
language English
format Article
sources DOAJ
author Fezazi Nabil El
Haoussi Fatima El
Tissir El Houssaine
Alvarez Teresa
Tadeo Fernando
spellingShingle Fezazi Nabil El
Haoussi Fatima El
Tissir El Houssaine
Alvarez Teresa
Tadeo Fernando
Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
International Journal of Applied Mathematics and Computer Science
robust stabilization
sampled-data
time-delay systems
input saturation
admissible initial conditions
lmi
author_facet Fezazi Nabil El
Haoussi Fatima El
Tissir El Houssaine
Alvarez Teresa
Tadeo Fernando
author_sort Fezazi Nabil El
title Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
title_short Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
title_full Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
title_fullStr Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
title_full_unstemmed Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
title_sort robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
publisher Sciendo
series International Journal of Applied Mathematics and Computer Science
issn 2083-8492
publishDate 2018-03-01
description Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.
topic robust stabilization
sampled-data
time-delay systems
input saturation
admissible initial conditions
lmi
url https://doi.org/10.2478/amcs-2018-0008
work_keys_str_mv AT fezazinabilel robuststabilizationusingasampleddatastrategyofuncertainneutralstatedelayedsystemssubjecttoinputlimitations
AT haoussifatimael robuststabilizationusingasampleddatastrategyofuncertainneutralstatedelayedsystemssubjecttoinputlimitations
AT tissirelhoussaine robuststabilizationusingasampleddatastrategyofuncertainneutralstatedelayedsystemssubjecttoinputlimitations
AT alvarezteresa robuststabilizationusingasampleddatastrategyofuncertainneutralstatedelayedsystemssubjecttoinputlimitations
AT tadeofernando robuststabilizationusingasampleddatastrategyofuncertainneutralstatedelayedsystemssubjecttoinputlimitations
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