Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma
A nonlinear PI-type control strategy is designed in order to minimize the HIV concentration in blood plasma, via medical drug injection, under the framework of bounded uncertain input disturbances. For control design it is considered a simplified mathematical model of the virus infection as a benchm...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/6284574 |
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| _version_ | 1832568308795179008 |
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| author | Ricardo Aguilar-López Rigel Valentín Gómez-Acata Gerardo Lara-Cisneros Ricardo Femat |
| author_facet | Ricardo Aguilar-López Rigel Valentín Gómez-Acata Gerardo Lara-Cisneros Ricardo Femat |
| author_sort | Ricardo Aguilar-López |
| collection | DOAJ |
| description | A nonlinear PI-type control strategy is designed in order to minimize the HIV concentration in blood plasma, via medical drug injection, under the framework of bounded uncertain input disturbances. For control design it is considered a simplified mathematical model of the virus infection as a benchmark. The model is based on mass balances of healthy cells, infected cells, and the virus concentrations. The proposed controller contains a nonlinear feedback PI structure of bounded functions of the regulation error. The closed-loop stability of the system is analyzed via Lyapunov technique, in which robustness against system disturbances is demonstrated. Numerical experiments show a satisfactory performance of the proposed methodology as a HIV therapy, in which the virion particles and the infected CD4+T cells are minimized and, as an interesting result, the drug dosage can be suspended, thus avoiding drug resistance from the virus. Finally, the proposed controller is compared to a standard sliding-mode and hyperbolic tangent controllers showing better performance. |
| format | Article |
| id | doaj-art-abb6dd6cb51149dbb7d56f5f9e8a7de6 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-abb6dd6cb51149dbb7d56f5f9e8a7de62025-02-03T00:59:24ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/62845746284574Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood PlasmaRicardo Aguilar-López0Rigel Valentín Gómez-Acata1Gerardo Lara-Cisneros2Ricardo Femat3Department of Biotechnology and Bioengineering, CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoDepartment of Biotechnology and Bioengineering, CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoFacultad de Ciencias Química, Universidad Autónoma de San Luis Potosí, Álvaro Obregón No. 64, Colonia Centro, 78000 San Luis Potosí, SLP, MexicoDivisión de Matemáticas Aplicadas, IPICYT, Camino a la Presa San José 2055, Colonia Lomas 4 Sección, 78216 San Luis Potosí, SLP, MexicoA nonlinear PI-type control strategy is designed in order to minimize the HIV concentration in blood plasma, via medical drug injection, under the framework of bounded uncertain input disturbances. For control design it is considered a simplified mathematical model of the virus infection as a benchmark. The model is based on mass balances of healthy cells, infected cells, and the virus concentrations. The proposed controller contains a nonlinear feedback PI structure of bounded functions of the regulation error. The closed-loop stability of the system is analyzed via Lyapunov technique, in which robustness against system disturbances is demonstrated. Numerical experiments show a satisfactory performance of the proposed methodology as a HIV therapy, in which the virion particles and the infected CD4+T cells are minimized and, as an interesting result, the drug dosage can be suspended, thus avoiding drug resistance from the virus. Finally, the proposed controller is compared to a standard sliding-mode and hyperbolic tangent controllers showing better performance.http://dx.doi.org/10.1155/2016/6284574 |
| spellingShingle | Ricardo Aguilar-López Rigel Valentín Gómez-Acata Gerardo Lara-Cisneros Ricardo Femat Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma Journal of Control Science and Engineering |
| title | Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma |
| title_full | Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma |
| title_fullStr | Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma |
| title_full_unstemmed | Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma |
| title_short | Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma |
| title_sort | nonlinear and robust control strategy based on chemotherapy to minimize the hiv concentration in blood plasma |
| url | http://dx.doi.org/10.1155/2016/6284574 |
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