Robust Stabilization of Linear Switched Systems with Unstable Subsystems
This paper deals with the robust stability of a class of uncertain switched systems with possibly unstable linear subsystems. In particular, conditions for global uniform exponential stability are presented. In addition, a procedure to design a mode dependent average dwell time switching signal that...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/8/12/2620 |
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| author | Martín-Antonio Rodríguez-Licea Francisco-J. Perez-Pinal Juan Prado Olivares |
| author_facet | Martín-Antonio Rodríguez-Licea Francisco-J. Perez-Pinal Juan Prado Olivares |
| author_sort | Martín-Antonio Rodríguez-Licea |
| collection | DOAJ |
| description | This paper deals with the robust stability of a class of uncertain switched systems with possibly unstable linear subsystems. In particular, conditions for global uniform exponential stability are presented. In addition, a procedure to design a mode dependent average dwell time switching signal that stabilizes a switched linear system composed of diagonalizable subsystems is established, even if all of them are stable/unstable and time-varying (within design bounds). An illustrative example of the stabilizing switching law design and numerical results are presented. |
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| format | Article |
| id | doaj.art-b566e29d3af2412eb1c394f30344e974 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-23T03:21:14Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-b566e29d3af2412eb1c394f30344e9742022-12-21T18:02:00ZengMDPI AGApplied Sciences2076-34172018-12-01812262010.3390/app8122620app8122620Robust Stabilization of Linear Switched Systems with Unstable SubsystemsMartín-Antonio Rodríguez-Licea0Francisco-J. Perez-Pinal1Juan Prado Olivares2Departamento de Ingeniería Electrónica, CONACYT-Instituto Tecnológico de Celaya, Guanajuato 38010, MexicoDepartamento de Ingeniería Electrónica, Instituto Tecnológico de Celaya, Guanajuato 38010, MexicoDepartamento de Ingeniería Electrónica, Instituto Tecnológico de Celaya, Guanajuato 38010, MexicoThis paper deals with the robust stability of a class of uncertain switched systems with possibly unstable linear subsystems. In particular, conditions for global uniform exponential stability are presented. In addition, a procedure to design a mode dependent average dwell time switching signal that stabilizes a switched linear system composed of diagonalizable subsystems is established, even if all of them are stable/unstable and time-varying (within design bounds). An illustrative example of the stabilizing switching law design and numerical results are presented.https://www.mdpi.com/2076-3417/8/12/2620switched systems analysismathematically-unstable subsystemsrobust control demonstration |
| spellingShingle | Martín-Antonio Rodríguez-Licea Francisco-J. Perez-Pinal Juan Prado Olivares Robust Stabilization of Linear Switched Systems with Unstable Subsystems Applied Sciences switched systems analysis mathematically-unstable subsystems robust control demonstration |
| title | Robust Stabilization of Linear Switched Systems with Unstable Subsystems |
| title_full | Robust Stabilization of Linear Switched Systems with Unstable Subsystems |
| title_fullStr | Robust Stabilization of Linear Switched Systems with Unstable Subsystems |
| title_full_unstemmed | Robust Stabilization of Linear Switched Systems with Unstable Subsystems |
| title_short | Robust Stabilization of Linear Switched Systems with Unstable Subsystems |
| title_sort | robust stabilization of linear switched systems with unstable subsystems |
| topic | switched systems analysis mathematically-unstable subsystems robust control demonstration |
| url | https://www.mdpi.com/2076-3417/8/12/2620 |
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