On the minimum energy compensation for linear time-varying disturbed systems
We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2022-12-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/125431/PDF/4-Magri_int.pdf |
| _version_ | 1797954363189100544 |
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| author | El Mostafa Magri Chadi Amissi Larbi Afifi Mustapha Lhous |
| author_facet | El Mostafa Magri Chadi Amissi Larbi Afifi Mustapha Lhous |
| author_sort | El Mostafa Magri |
| collection | DOAJ |
| description | We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given. |
| first_indexed | 2024-04-10T23:17:27Z |
| format | Article |
| id | doaj.art-3e7566d9d6d64463920052658b0a7402 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-10T23:17:27Z |
| publishDate | 2022-12-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-3e7566d9d6d64463920052658b0a74022023-01-12T18:10:09ZengPolish Academy of SciencesArchives of Control Sciences1230-23842022-12-01vol. 32No 4733754https://doi.org/10.24425/acs.2022.143669On the minimum energy compensation for linear time-varying disturbed systemsEl Mostafa Magri0Chadi Amissi1Larbi Afifi2Mustapha Lhous3Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, MoroccoFundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, MoroccoFundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, MoroccoFundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, MoroccoWe consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given.https://journals.pan.pl/Content/125431/PDF/4-Magri_int.pdfdynamical systemsremediabilityobservationoptimal controldisturbance |
| spellingShingle | El Mostafa Magri Chadi Amissi Larbi Afifi Mustapha Lhous On the minimum energy compensation for linear time-varying disturbed systems Archives of Control Sciences dynamical systems remediability observation optimal control disturbance |
| title | On the minimum energy compensation for linear time-varying disturbed systems |
| title_full | On the minimum energy compensation for linear time-varying disturbed systems |
| title_fullStr | On the minimum energy compensation for linear time-varying disturbed systems |
| title_full_unstemmed | On the minimum energy compensation for linear time-varying disturbed systems |
| title_short | On the minimum energy compensation for linear time-varying disturbed systems |
| title_sort | on the minimum energy compensation for linear time varying disturbed systems |
| topic | dynamical systems remediability observation optimal control disturbance |
| url | https://journals.pan.pl/Content/125431/PDF/4-Magri_int.pdf |
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