Stabilization of Neutral Systems with Saturating Actuators
A method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives (i.e., neutral systems), in the presence of saturating actuators. Delay-dependent conditions are given to determine stabilizing state-feedback contr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/823290 |
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| _version_ | 1850215299690790912 |
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| author | F. El Haoussi E. H. Tissir A. Hmamed F. Tadeo |
| author_facet | F. El Haoussi E. H. Tissir A. Hmamed F. Tadeo |
| author_sort | F. El Haoussi |
| collection | DOAJ |
| description | A method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives (i.e., neutral
systems), in the presence of saturating actuators. Delay-dependent conditions are given
to determine stabilizing state-feedback controllers with large domain of attraction, expressed as linear matrix inequalities, readily implementable using available numerical tools and with tuning parameters that make possible to select the most adequate solution. These conditions are derived by using a Lyapunov-Krasovskii functional on the vertices of the polytopic description of the actuator saturations. Numerical examples demonstrate the effectiveness of the proposed technique. |
| format | Article |
| id | doaj-art-804ea250111a45e19ec329f4324f660c |
| institution | OA Journals |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-804ea250111a45e19ec329f4324f660c2025-08-20T02:08:39ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/823290823290Stabilization of Neutral Systems with Saturating ActuatorsF. El Haoussi0E. H. Tissir1A. Hmamed2F. Tadeo3Department of Mathematic and Informatics, Faculty Multidisciplinary, University Mohamed Premier, P.O. Box 300, Nador, Selouane 62700, MoroccoLESSI, Department of Physics, Faculty of Science Dhar El Mehraz, P.O. Box 1796, Fes-Atlas 30000, MoroccoLESSI, Department of Physics, Faculty of Science Dhar El Mehraz, P.O. Box 1796, Fes-Atlas 30000, MoroccoDepartamento Ingenieria de Sistemas y Automatica, Universidad de Valladolid, Valladolid 47005, SpainA method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives (i.e., neutral systems), in the presence of saturating actuators. Delay-dependent conditions are given to determine stabilizing state-feedback controllers with large domain of attraction, expressed as linear matrix inequalities, readily implementable using available numerical tools and with tuning parameters that make possible to select the most adequate solution. These conditions are derived by using a Lyapunov-Krasovskii functional on the vertices of the polytopic description of the actuator saturations. Numerical examples demonstrate the effectiveness of the proposed technique.http://dx.doi.org/10.1155/2012/823290 |
| spellingShingle | F. El Haoussi E. H. Tissir A. Hmamed F. Tadeo Stabilization of Neutral Systems with Saturating Actuators Journal of Control Science and Engineering |
| title | Stabilization of Neutral Systems with Saturating Actuators |
| title_full | Stabilization of Neutral Systems with Saturating Actuators |
| title_fullStr | Stabilization of Neutral Systems with Saturating Actuators |
| title_full_unstemmed | Stabilization of Neutral Systems with Saturating Actuators |
| title_short | Stabilization of Neutral Systems with Saturating Actuators |
| title_sort | stabilization of neutral systems with saturating actuators |
| url | http://dx.doi.org/10.1155/2012/823290 |
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