Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control
In this paper, we study the time optimal control problem in a DC-DC buck converter in the underdamped oscillatory regime. In particular, we derive analytic expressions for the admissible regions in the state space, satisfying the condition that every point within the region is reachable in optimal t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-08-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/11/9/834 |
| _version_ | 1797555071112708096 |
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| author | Ilya Dikariev Fabiola Angulo David Angulo-Garcia |
| author_facet | Ilya Dikariev Fabiola Angulo David Angulo-Garcia |
| author_sort | Ilya Dikariev |
| collection | DOAJ |
| description | In this paper, we study the time optimal control problem in a DC-DC buck converter in the underdamped oscillatory regime. In particular, we derive analytic expressions for the admissible regions in the state space, satisfying the condition that every point within the region is reachable in optimal time with a single switching action. We then make use of the general result to establish the minimum and maximum variation allowed to the load in two predefined design set-ups that fulfills the time optimal single switching criteria. Finally, we make use of numerical simulations to show the performance of the proposed control under changes in the reference voltage and load resistance. |
| first_indexed | 2024-03-10T16:41:04Z |
| format | Article |
| id | doaj.art-b1bb4a5b29f44c2f91f5ed58b1735a54 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-10T16:41:04Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-b1bb4a5b29f44c2f91f5ed58b1735a542023-11-20T12:02:17ZengMDPI AGMicromachines2072-666X2020-08-0111983410.3390/mi11090834Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal ControlIlya Dikariev0Fabiola Angulo1David Angulo-Garcia2Department of Optimization, Campus Cottbus, Institute of Mathematics, Brandenburg University of Technology, Platz der Deutschen Einheit 1, 03046 Cottbus, GermanyDepartamento de Ingeniería Eléctrica, Electrónica y Computación—Bloque Q, Campus La Nubia, Facultad de Ingeniería y Arquitectura, Universidad Nacional de Colombia—Sede Manizales, Manizales 170003, ColombiaGrupo de Modelado Computacional—Dinámica y Complejidad de Sistemas, Instituto de Matemáticas Aplicadas, Universidad de Cartagena, Carrera 6 # 36-100, Cartagena de Indias 130001, ColombiaIn this paper, we study the time optimal control problem in a DC-DC buck converter in the underdamped oscillatory regime. In particular, we derive analytic expressions for the admissible regions in the state space, satisfying the condition that every point within the region is reachable in optimal time with a single switching action. We then make use of the general result to establish the minimum and maximum variation allowed to the load in two predefined design set-ups that fulfills the time optimal single switching criteria. Finally, we make use of numerical simulations to show the performance of the proposed control under changes in the reference voltage and load resistance.https://www.mdpi.com/2072-666X/11/9/834DC-DC synchronous buck convertertime optimal controlpontryagin maximum principlecontrol synthesis |
| spellingShingle | Ilya Dikariev Fabiola Angulo David Angulo-Garcia Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control Micromachines DC-DC synchronous buck converter time optimal control pontryagin maximum principle control synthesis |
| title | Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control |
| title_full | Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control |
| title_fullStr | Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control |
| title_full_unstemmed | Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control |
| title_short | Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control |
| title_sort | single switching reachable operation points in a dc dc buck converter an approximation from time optimal control |
| topic | DC-DC synchronous buck converter time optimal control pontryagin maximum principle control synthesis |
| url | https://www.mdpi.com/2072-666X/11/9/834 |
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