Robust control of the classic dynamic ball and beam system
This article presents the design of robust control system for the Ball and Beam system, as well as the comparison of their performances with classic control techniques. Two controllers were designed based on Algebraic Riccati Equations for the synthesis of H2 and H∞ controllers and a third one based...
- Autores:
-
Jiménez-Cabas, Javier
MELÉNDEZ, FARID
Díaz-Charris, Luis David
COLLAZOS MORALES, CARLOS ANDRES
R. González, Ramón E.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/7960
- Acceso en línea:
- https://hdl.handle.net/11323/7960
https://doi.org/10.1007/978-3-030-58808-3_11
https://repositorio.cuc.edu.co/
- Palabra clave:
- Robust control H2 and H∞
Uncertainties
Modeling
Ball and beam system
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 International
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| dc.title.spa.fl_str_mv |
Robust control of the classic dynamic ball and beam system |
| title |
Robust control of the classic dynamic ball and beam system |
| spellingShingle |
Robust control of the classic dynamic ball and beam system Robust control H2 and H∞ Uncertainties Modeling Ball and beam system |
| title_short |
Robust control of the classic dynamic ball and beam system |
| title_full |
Robust control of the classic dynamic ball and beam system |
| title_fullStr |
Robust control of the classic dynamic ball and beam system |
| title_full_unstemmed |
Robust control of the classic dynamic ball and beam system |
| title_sort |
Robust control of the classic dynamic ball and beam system |
| dc.creator.fl_str_mv |
Jiménez-Cabas, Javier MELÉNDEZ, FARID Díaz-Charris, Luis David COLLAZOS MORALES, CARLOS ANDRES R. González, Ramón E. |
| dc.contributor.author.spa.fl_str_mv |
Jiménez-Cabas, Javier MELÉNDEZ, FARID Díaz-Charris, Luis David COLLAZOS MORALES, CARLOS ANDRES R. González, Ramón E. |
| dc.subject.spa.fl_str_mv |
Robust control H2 and H∞ Uncertainties Modeling Ball and beam system |
| topic |
Robust control H2 and H∞ Uncertainties Modeling Ball and beam system |
| description |
This article presents the design of robust control system for the Ball and Beam system, as well as the comparison of their performances with classic control techniques. Two controllers were designed based on Algebraic Riccati Equations for the synthesis of H2 and H∞ controllers and a third one based on Linear Matrix Inequalities techniques for the design of H∞ controllers. The results show that H∞ controllers offer better performance. |
| publishDate |
2020 |
| dc.date.issued.none.fl_str_mv |
2020-09-29 |
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2021-03-04T20:37:12Z |
| dc.date.available.none.fl_str_mv |
2021-03-04T20:37:12Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Text |
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0302-9743 |
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https://hdl.handle.net/11323/7960 |
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https://doi.org/10.1007/978-3-030-58808-3_11 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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0302-9743 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/7960 https://doi.org/10.1007/978-3-030-58808-3_11 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.spa.fl_str_mv |
Morari, M., Zafiriou, E.: Robust Process Control. Prentice-Hall, Estados Unidos de América (1989) Paganini, F.: A Course in Robust Control Theory. A Convex Approach. Springer, New York (1999) Scherer, C.: Theory of Robust Control. Delft University of Technology, Delft (2001) Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control: Analysis and Design, Second edn. Wiley, Chichester, UK (2001) Zhou, K.: Essentials of Robust Control. Prentice-Hall, New Jersey (1998) Dorf, Richard C. and Bishop, Robert H.: Modern Control Systems, 10th edn. Prentice Hall (2004) Quanser: SRV02-Series. Rotary Experiment # 3. Ball and Beam. User Manual Quanser; SRV02-Series. Rotary Experiment # 3. Ball and Beam. Student Handout Quanser: SRV02-Series. Rotary Experiment # 1. Position Control. Student Handout Boyd, S., Feron, E.: Linear Matrix Inequalities in System and Control Theory. Siam, Stanford, California (1994) Gahinet, P.: Explicit Controller Formulas for LMI-based H∞ Synthesis. Automatica, vol. 32, no. 7, pp. 1007–1014. Elsevier Science Ltda, Great Britain (1995) Scherer, C., Weiland, S.: Linear Matrix Inequalities in Control, 3ª Version (2000) Jiménez-Cabas, J., et al.: Robust control of an evaporator through algebraic Riccati equations and D-K iteration. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11620, pp. 731–742. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24296-1_58 Misra, S., et al. (eds.): ICCSA 2019. LNCS, vol. 11619. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24289-3 |
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Attribution-NonCommercial-NoDerivatives 4.0 International |
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Jiménez-Cabas, JavierMELÉNDEZ, FARIDDíaz-Charris, Luis DavidCOLLAZOS MORALES, CARLOS ANDRESR. González, Ramón E.2021-03-04T20:37:12Z2021-03-04T20:37:12Z2020-09-290302-9743https://hdl.handle.net/11323/7960https://doi.org/10.1007/978-3-030-58808-3_11Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/This article presents the design of robust control system for the Ball and Beam system, as well as the comparison of their performances with classic control techniques. Two controllers were designed based on Algebraic Riccati Equations for the synthesis of H2 and H∞ controllers and a third one based on Linear Matrix Inequalities techniques for the design of H∞ controllers. The results show that H∞ controllers offer better performance.Jiménez-Cabas, Javier-will be generated-orcid-0000-0001-9707-8418-600MELÉNDEZ, FARID-will be generated-orcid-0000-0001-7007-0109-600Díaz-Charris, Luis David-will be generated-orcid-0000-0001-9613-6364-600COLLAZOS MORALES, CARLOS ANDRES-will be generated-orcid-0000-0002-1996-1384-600R. González, Ramón E.application/pdfengCorporación Universidad de la CostaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Lecture Notes in Computer Sciencehttps://link.springer.com/chapter/10.1007/978-3-030-58808-3_11Robust control H2 and H∞UncertaintiesModelingBall and beam systemRobust control of the classic dynamic ball and beam systemArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersionMorari, M., Zafiriou, E.: Robust Process Control. Prentice-Hall, Estados Unidos de América (1989)Paganini, F.: A Course in Robust Control Theory. A Convex Approach. Springer, New York (1999)Scherer, C.: Theory of Robust Control. Delft University of Technology, Delft (2001)Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control: Analysis and Design, Second edn. Wiley, Chichester, UK (2001)Zhou, K.: Essentials of Robust Control. Prentice-Hall, New Jersey (1998)Dorf, Richard C. and Bishop, Robert H.: Modern Control Systems, 10th edn. Prentice Hall (2004)Quanser: SRV02-Series. Rotary Experiment # 3. Ball and Beam. User ManualQuanser; SRV02-Series. Rotary Experiment # 3. Ball and Beam. Student HandoutQuanser: SRV02-Series. Rotary Experiment # 1. Position Control. Student HandoutBoyd, S., Feron, E.: Linear Matrix Inequalities in System and Control Theory. Siam, Stanford, California (1994)Gahinet, P.: Explicit Controller Formulas for LMI-based H∞ Synthesis. Automatica, vol. 32, no. 7, pp. 1007–1014. Elsevier Science Ltda, Great Britain (1995)Scherer, C., Weiland, S.: Linear Matrix Inequalities in Control, 3ª Version (2000)Jiménez-Cabas, J., et al.: Robust control of an evaporator through algebraic Riccati equations and D-K iteration. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11620, pp. 731–742. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24296-1_58Misra, S., et al. (eds.): ICCSA 2019. LNCS, vol. 11619. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24289-3PublicationORIGINALRobust Control of the Classic Dynamic Ball and Beam System.pdfRobust Control of the Classic Dynamic Ball and Beam System.pdfapplication/pdf95509https://repositorio.cuc.edu.co/bitstreams/59919446-9854-46ac-a424-656dbd5948d9/download7077c8e65862597e7ca5f24c093f98a9MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.cuc.edu.co/bitstreams/a989bd6c-55ae-4f3a-aae4-d2656eae46a5/download4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-83196https://repositorio.cuc.edu.co/bitstreams/14104caf-44ec-47f7-a817-38488ef5683e/downloade30e9215131d99561d40d6b0abbe9badMD53THUMBNAILRobust Control of the Classic Dynamic Ball and Beam System.pdf.jpgRobust Control of the Classic Dynamic Ball and Beam 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