Parallel computing for rolling mill process with a numerical treatment of the LQR problem
The considerable increase in computation of the optimal control problems has in many cases overflowed the computing capacity available to handle complex systems in real time. For this reason, alternatives such as parallel computing are studied in this article, where the problem is worked out by dist...
- Autores:
-
Gómez Múnera, John Anderson
Giraldo Quintero, Alejandro
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
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- https://hdl.handle.net/11323/10334
https://repositorio.cuc.edu.co/
- Palabra clave:
- Automatic control
Chemical processes
Computer programming
Computer techniques
Multithreading
Parallel algorithms
Parallel processing
Control automático
Procesos químicos
Programación informática
Técnicas informáticas
Multihilo
Algoritmos paralelos
Procesamiento paralelo
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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| dc.title.eng.fl_str_mv |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| dc.title.translated.none.fl_str_mv |
Computación en paralelo para el proceso de laminación con un tratamiento numérico del problema LQR |
| title |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| spellingShingle |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem Automatic control Chemical processes Computer programming Computer techniques Multithreading Parallel algorithms Parallel processing Control automático Procesos químicos Programación informática Técnicas informáticas Multihilo Algoritmos paralelos Procesamiento paralelo |
| title_short |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| title_full |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| title_fullStr |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| title_full_unstemmed |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| title_sort |
Parallel computing for rolling mill process with a numerical treatment of the LQR problem |
| dc.creator.fl_str_mv |
Gómez Múnera, John Anderson Giraldo Quintero, Alejandro |
| dc.contributor.author.none.fl_str_mv |
Gómez Múnera, John Anderson Giraldo Quintero, Alejandro |
| dc.subject.proposal.eng.fl_str_mv |
Automatic control Chemical processes Computer programming Computer techniques Multithreading Parallel algorithms Parallel processing |
| topic |
Automatic control Chemical processes Computer programming Computer techniques Multithreading Parallel algorithms Parallel processing Control automático Procesos químicos Programación informática Técnicas informáticas Multihilo Algoritmos paralelos Procesamiento paralelo |
| dc.subject.proposal.spa.fl_str_mv |
Control automático Procesos químicos Programación informática Técnicas informáticas Multihilo Algoritmos paralelos Procesamiento paralelo |
| description |
The considerable increase in computation of the optimal control problems has in many cases overflowed the computing capacity available to handle complex systems in real time. For this reason, alternatives such as parallel computing are studied in this article, where the problem is worked out by distributing the tasks among several processors in order to accelerate the computation and to analyze and investigate the reduction of the total time of calculation the incremental gradually the processors used in it. We explore the use of these methods with a case study represented in a rolling mill process, and in turn making use of the strategy of updating the Phase Finals values for the construction of the final penalty matrix for the solution of the differential Riccati Equation. In addition, the order of the problem studied is increasing gradually for compare the improvements achieved in the models with major dimension. Parallel computing alternatives are also studied through multiple processing elements within a single machine or in a cluster via OpenMP, which is an Application Programming Interface (API) that allows the creation of shared memory programs. |
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2020 |
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2020 |
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2023-07-21T21:03:43Z |
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2023-07-21T21:03:43Z |
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Artículo de revista |
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J. A. Gómez & A. Giraldo-Quintero, “Parallel Computing for Rolling Mill Process with a Numerical Treatment of the LQR Problem”, J. Comput. Electron. Sci.: Theory Appl., vol. 1, no. 1, pp. 11–30, 2020. https://doi.org/10.17981/cesta.01.01.2020.02 |
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https://hdl.handle.net/11323/10334 |
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10.17981/cesta.01.01.2020.02 |
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2745-0090 |
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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/ |
| identifier_str_mv |
J. A. Gómez & A. Giraldo-Quintero, “Parallel Computing for Rolling Mill Process with a Numerical Treatment of the LQR Problem”, J. Comput. Electron. Sci.: Theory Appl., vol. 1, no. 1, pp. 11–30, 2020. https://doi.org/10.17981/cesta.01.01.2020.02 10.17981/cesta.01.01.2020.02 2745-0090 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/10334 https://repositorio.cuc.edu.co/ |
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eng |
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eng |
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Computer and Electronic Sciences: Theory and Applications |
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[1] V. E. Sonzogni, A. M. Yommi, N. M. Nigro & M. A. Storti, “A parallel finite element program on a beowulf cluster,” Adv Eng Softw, vol. 33, no. 7, pp. 427–443, Jul. 2002. https://doi.org/10.1016/S0965-9978(02)00059-5 [2] J. D. Hennessy & D. A. Patterson, Arquitectura de computadores: Un enfoque cuantitativo. MD, Esp.: McGraw-Hill, 1993. [3] M. Tokhi, M. A. Hossain & M. Shaheed, Parallel Computing for Real-Time Signal Processing and Control. London, UK: Springer, 2003. [4] A. S. Tanenbaum, Sistemas operativos modernos. 3rd edición. MX, D.F., MX: Pearson Educación, 2009. [5] P. Pardalos & R. Pytlak, Conjugate Gradient Algorithms In Nonconvex Optimization. NY, USA: Springer, 2008. [6] A. A. Agrachev & Y. L. Sachkov, Control Theory from the Geometric Viewpoint. Bln-HDB: Springer-Verlag, 2004. [7] M. Athans & P. Falb, Optimal Control: An Introduction to the Theory and Its Applications. NY, USA: Dover, 2006. [8] V. Costanza & P. S. Rivadeneira, Enfoque Hamiltoniano al control optimo de sistemas dinámicos. SAANZ, DE: OmniScriptum, 2014. [9] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze & E. F. Mishchenko, The Mathematical Theory of Optimal Processes. NY, USA: Macmillan, 1964. [10] J. L. Troutman, Variational Calculus and Optimal Control. NY, USA: Springer, 1996. [11] V. Costanza & C. E. Neuman, “Partial differential equations for missing boundary conditions in the linear-quadratic optimal control problems,” Lat Am Appl Res, vol. 39, no. 3, pp. 207–212, Dec. 2009. Available: http://hdl.handle.net/11336/17096 [12] E. D. Sontag, Mathematical Control Theory. NY, USA: Springer, 1998. [13] V. Costanza & C. E. Neuman, “Optimal control of nonlinear chemical reactors via an initial-value hamiltonian problem,” Optim Control Appl Methods, vol. 27, no. 1, pp. 41–60, Jan. 2006. http://dx.doi.org/10.1002/oca.772 [14] A. Kojima & M. Morari, “LQ control for constrained continuous-time systems,” Automatica, vol. 40, no. 7, pp. 1143–1155, Jul. 2004. https://doi.org/10.1016/j.automatica.2004.02.007 [15] S. J. Qin & T. A. Badgwell, “A survey of industrial model predictive control technology,” Control Eng Pract, vol. 11, no. 7, pp. 733–764, Jul. 2003. https://doi.org/10.1016/S0967-0661(02)00186-7 [16] O. J. Rojas, G. C. Goodwin, M. M. Seron & A. Feuer, “An svd based´ strategy for receding horizon control of input constrained linear systems,” Int J Robust Nonlin, vol. 14, no. 13-14, pp. 1207–1226, May. 2004. https://doi.org/10.1002/rnc.940 [17] J. L. Speyer & D. H. Jacobson, Primer on Optimal Control Theory. Phila, USA: SIAM Books, 2010. [18] V. Costanza & P. S. Rivadeneira, “Optimal satured feedback laws for LQR problems with bounded controls,” Comput Appl Math, vol. 32, no. 2, pp. 355–371, Mar. 2013. https://doi.org/10.1007/s40314-013-0025-7 [19] V. Costanza, P. S. Rivadeneira & J. A. Gómez, “An efficient cost reduction procedure for bounded-control LQR problems,” Comput Appl Math, vol. 37, no. 2, pp. 1175–1196, Oct. 2016. https://doi.org/10.1007/s40314-016-0393-x [20] V. Costanza, P. S. Rivadeneira & J. A. Gómez, “Numerical treatment of the bounded-control lqr problem by updating the final phase value,” IEEE Lat Ame T, vol. 14, no. 6, pp. 2687–2692, Jun. 2016. https://doi.org/10.1109/TLA.2016.7555239 [21] V. Costanza & P. S. Rivadeneira, “Online suboptimal control of linearized models,” Syst Sci Control Eng, vol. 2, no. 1, pp. 379–388, Dec. 2014. https://doi.org/10.1080/21642583.2014.913215 [22] E. Bramanti, M. Bramanti, P. Stiavetti & E. Benedetti, “A frequency deconvolution procedure using a conjugate gradient minimization method with suitable constraints,” J Chemom, vol. 8, no. 6, pp. 409–421, Dec. 1994. https://doi.org/10.1002/ cem.1180080606 [23] R. Fletcher & C. M. Reeves, “Function minimization for conjugate gradients,” Computer J, vol. 7, no. 2, pp. 149–154, Jan. 1964. https://doi.org/10.1093/comjnl/7.2.149 [24] A. V. Rao, D. A. Benson, G. T. Huntington, C. Francolin, C. L. Darby & M. A. Patterson, “User’s manual for GPOPS: A matlab package for dynamic optimization using the gauss pseudospectral method,” UF, GVL; USA, Tech. Rep., Aug. 2008. [25] P. Bernhard, “Introduccion a la teoría de control Optimo,” Inst. Mat. Beppo Levi, ROS, AR, Tech. Rep., Cuaderno No. 4, 1972. [26] V. Costanza, P. S. Rivadeneira & R. D. Spies, “Equations for the missing boundary values in the hamiltonian formulation of optimal control problems,” J Optim Theory and Appl, vol. 149, no. 1, pp. 26–46, Jan. 2011. https://doi.org/10.1007/s10957-010- 9773-3 [27] G. C. Goodwin, S. F. Graebe & M. E. Salgado, Control system design, vol. 240. NJ, USA: Prentice Hall, 2001. |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)© The author; licensee Universidad de la Costa - CUC.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gómez Múnera, John AndersonGiraldo Quintero, Alejandro2023-07-21T21:03:43Z2023-07-21T21:03:43Z2020J. A. Gómez & A. Giraldo-Quintero, “Parallel Computing for Rolling Mill Process with a Numerical Treatment of the LQR Problem”, J. Comput. Electron. Sci.: Theory Appl., vol. 1, no. 1, pp. 11–30, 2020. https://doi.org/10.17981/cesta.01.01.2020.02https://hdl.handle.net/11323/1033410.17981/cesta.01.01.2020.022745-0090Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/The considerable increase in computation of the optimal control problems has in many cases overflowed the computing capacity available to handle complex systems in real time. For this reason, alternatives such as parallel computing are studied in this article, where the problem is worked out by distributing the tasks among several processors in order to accelerate the computation and to analyze and investigate the reduction of the total time of calculation the incremental gradually the processors used in it. We explore the use of these methods with a case study represented in a rolling mill process, and in turn making use of the strategy of updating the Phase Finals values for the construction of the final penalty matrix for the solution of the differential Riccati Equation. In addition, the order of the problem studied is increasing gradually for compare the improvements achieved in the models with major dimension. Parallel computing alternatives are also studied through multiple processing elements within a single machine or in a cluster via OpenMP, which is an Application Programming Interface (API) that allows the creation of shared memory programs.El considerable aumento en el cómputo de los problemas de control óptimo ha desbordado en muchos casos la capacidad de computación disponible para manejar sistemas complejos en tiempo real. Por esta razón, en este artículo se estudian alternativas como la computación paralela, donde el problema se resuelve distribuyendo las tareas entre varios procesadores para acelerar el cómputo y para analizar e investigar la reducción del tiempo total de cálculo incrementando gradualmente los procesadores utilizados en él. Exploramos el uso de estos métodos con un estudio de caso representado en un proceso de laminación, y a su vez haciendo uso de la estrategia de actualización de los valores de las fases finales para la construcción de la matriz de penalización final para la solución de la ecuación de Riccati diferencial. Además, el orden del problema estudiado va aumentando gradualmente para comparar las mejoras logradas en los modelos de mayor dimensión. También se estudian alternativas de computación paralela a través de múltiples elementos de procesamiento dentro de una sola máquina o en un clúster mediante OpenMP, que es una Interfaz de Programación de Aplicaciones (API) que permite la creación de programas de memoria compartida.20 páginasapplication/pdfengCorporación Universidad de la CostaColombiahttps://revistascientificas.cuc.edu.co/CESTA/article/view/3376Parallel computing for rolling mill process with a numerical treatment of the LQR problemComputación en paralelo para el proceso de laminación con un tratamiento numérico del problema LQRArtículo 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/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Computer and Electronic Sciences: Theory and Applications[1] V. E. Sonzogni, A. M. Yommi, N. M. Nigro & M. A. Storti, “A parallel finite element program on a beowulf cluster,” Adv Eng Softw, vol. 33, no. 7, pp. 427–443, Jul. 2002. https://doi.org/10.1016/S0965-9978(02)00059-5[2] J. D. Hennessy & D. A. Patterson, Arquitectura de computadores: Un enfoque cuantitativo. MD, Esp.: McGraw-Hill, 1993.[3] M. Tokhi, M. A. Hossain & M. Shaheed, Parallel Computing for Real-Time Signal Processing and Control. London, UK: Springer, 2003.[4] A. S. Tanenbaum, Sistemas operativos modernos. 3rd edición. MX, D.F., MX: Pearson Educación, 2009.[5] P. Pardalos & R. Pytlak, Conjugate Gradient Algorithms In Nonconvex Optimization. NY, USA: Springer, 2008.[6] A. A. Agrachev & Y. L. Sachkov, Control Theory from the Geometric Viewpoint. Bln-HDB: Springer-Verlag, 2004.[7] M. Athans & P. Falb, Optimal Control: An Introduction to the Theory and Its Applications. NY, USA: Dover, 2006.[8] V. Costanza & P. S. Rivadeneira, Enfoque Hamiltoniano al control optimo de sistemas dinámicos. SAANZ, DE: OmniScriptum, 2014.[9] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze & E. F. Mishchenko, The Mathematical Theory of Optimal Processes. NY, USA: Macmillan, 1964.[10] J. L. Troutman, Variational Calculus and Optimal Control. NY, USA: Springer, 1996.[11] V. Costanza & C. E. Neuman, “Partial differential equations for missing boundary conditions in the linear-quadratic optimal control problems,” Lat Am Appl Res, vol. 39, no. 3, pp. 207–212, Dec. 2009. Available: http://hdl.handle.net/11336/17096[12] E. D. Sontag, Mathematical Control Theory. NY, USA: Springer, 1998.[13] V. Costanza & C. E. Neuman, “Optimal control of nonlinear chemical reactors via an initial-value hamiltonian problem,” Optim Control Appl Methods, vol. 27, no. 1, pp. 41–60, Jan. 2006. http://dx.doi.org/10.1002/oca.772[14] A. Kojima & M. Morari, “LQ control for constrained continuous-time systems,” Automatica, vol. 40, no. 7, pp. 1143–1155, Jul. 2004. https://doi.org/10.1016/j.automatica.2004.02.007[15] S. J. Qin & T. A. Badgwell, “A survey of industrial model predictive control technology,” Control Eng Pract, vol. 11, no. 7, pp. 733–764, Jul. 2003. https://doi.org/10.1016/S0967-0661(02)00186-7[16] O. J. Rojas, G. C. Goodwin, M. M. Seron & A. Feuer, “An svd based´ strategy for receding horizon control of input constrained linear systems,” Int J Robust Nonlin, vol. 14, no. 13-14, pp. 1207–1226, May. 2004. https://doi.org/10.1002/rnc.940[17] J. L. Speyer & D. H. Jacobson, Primer on Optimal Control Theory. Phila, USA: SIAM Books, 2010.[18] V. Costanza & P. S. Rivadeneira, “Optimal satured feedback laws for LQR problems with bounded controls,” Comput Appl Math, vol. 32, no. 2, pp. 355–371, Mar. 2013. https://doi.org/10.1007/s40314-013-0025-7[19] V. Costanza, P. S. Rivadeneira & J. A. Gómez, “An efficient cost reduction procedure for bounded-control LQR problems,” Comput Appl Math, vol. 37, no. 2, pp. 1175–1196, Oct. 2016. https://doi.org/10.1007/s40314-016-0393-x[20] V. Costanza, P. S. Rivadeneira & J. A. Gómez, “Numerical treatment of the bounded-control lqr problem by updating the final phase value,” IEEE Lat Ame T, vol. 14, no. 6, pp. 2687–2692, Jun. 2016. https://doi.org/10.1109/TLA.2016.7555239[21] V. Costanza & P. S. Rivadeneira, “Online suboptimal control of linearized models,” Syst Sci Control Eng, vol. 2, no. 1, pp. 379–388, Dec. 2014. https://doi.org/10.1080/21642583.2014.913215[22] E. Bramanti, M. Bramanti, P. Stiavetti & E. Benedetti, “A frequency deconvolution procedure using a conjugate gradient minimization method with suitable constraints,” J Chemom, vol. 8, no. 6, pp. 409–421, Dec. 1994. https://doi.org/10.1002/ cem.1180080606[23] R. Fletcher & C. M. Reeves, “Function minimization for conjugate gradients,” Computer J, vol. 7, no. 2, pp. 149–154, Jan. 1964. https://doi.org/10.1093/comjnl/7.2.149[24] A. V. Rao, D. A. Benson, G. T. Huntington, C. Francolin, C. L. Darby & M. A. Patterson, “User’s manual for GPOPS: A matlab package for dynamic optimization using the gauss pseudospectral method,” UF, GVL; USA, Tech. Rep., Aug. 2008.[25] P. Bernhard, “Introduccion a la teoría de control Optimo,” Inst. Mat. Beppo Levi, ROS, AR, Tech. Rep., Cuaderno No. 4, 1972.[26] V. Costanza, P. S. Rivadeneira & R. D. Spies, “Equations for the missing boundary values in the hamiltonian formulation of optimal control problems,” J Optim Theory and Appl, vol. 149, no. 1, pp. 26–46, Jan. 2011. https://doi.org/10.1007/s10957-010- 9773-3[27] G. C. Goodwin, S. F. Graebe & M. E. Salgado, Control system design, vol. 240. NJ, USA: Prentice Hall, 2001.301111Automatic controlChemical processesComputer programmingComputer techniquesMultithreadingParallel algorithmsParallel processingControl automáticoProcesos químicosProgramación informáticaTécnicas informáticasMultihiloAlgoritmos paralelosProcesamiento paraleloPublicationORIGINALComputación en paralelo para el proceso de laminación con un tratamiento numérico del problema LQR.pdfComputación en paralelo para el proceso de laminación con un tratamiento numérico del problema LQR.pdfArtículoapplication/pdf1506057https://repositorio.cuc.edu.co/bitstreams/abcb996e-82e4-4462-bd82-97f5c57f8fbb/downloadc6a9e2f326d62dcc813dba3896c2317eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/98051d33-ad91-4957-86c2-da6513e751fe/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTComputación en paralelo para el proceso de laminación con un tratamiento numérico del problema LQR.pdf.txtComputación en paralelo para el proceso 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ada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
 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