Control PID tipo fraccional para la posición del cabezal de una unidad de CD para aplicaciones en microscopia óptica
DOI:
https://doi.org/10.15332/iteckne.v9i2.2763Palabras clave:
Control de posición, Control fraccional, Control robusto, Microscopía óptica, Ratón óptico, Unidad de CDResumen
En este artículo se diseña un control PID tipo fraccional para la posición del cabezal de una unidad de CD que se piensa emplear en el desarrollo de un microscopio óptico motorizado. En dicha aplicación se reemplazará el disco o CD por una placa con la muestra que va a ser estudiada, y se usará el cabezal de la unidad para iluminar la muestra. Con el controlador diseñado se busca que no haya dependencia del subcódigo escrito en un CD para determinar la posición del cabezal, para lo cual se usará un ratón de computador como sensor de posición. También se busca un control que mejore el desempeño del sistema y que sea robusto frente a las incertidumbres en el modelo de la planta, razón por la cual se empleará un control tipo fraccional (PI^λD^μ) y se ajustarán los parámetros K_p, K_i, K_d, λ, μ con cinco especificaciones de robustez. Para la sintonización del control se utiliza la toolbox de optimización de Matlab con la función fmincon. Al final del artículo se presentan los resultados en simulación, se concluye sobre la resolución obtenida, la robustez del controlador y la viabilidad del sistema de control para ser empleado en un microscopio
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[2] J. H. Zhang and L. Cai. “An autofocusing measurement system with a piezoelectric translator”.IEEE/ ASME Transactions on Mechatronics. Vol. 2, No. 3, pp. 213–216. 1997. ISSN:1083–4435. DOI: 10.1109/3516.622974.
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[7] K. C. Fan, C. L. Chu and J. I. Mou.“Development of a low-cost autofocusing probe for profile measurement”. Measurement Science and Technology. Vol. 12, No. 12, pp. 2137–2146, 2001. ISSN: 0957–0233.DOI: 10.1088/0957-0233/12/12/315.
[8] N. Islam, R. Parkin, M. Jackson and P. Mueller.“A novel surface profile measurement system”. AU Journal of Technology. Vol. 10, No. 3, pp. 203–209, 2007.
[9] J. Benschop and G. Rosmalen.“Confocal compact scanning optical microscope based on compact disc technology”. Applied Optics. Vol. 30, No. 10, pp. 1179–1184, 1991. ISSN: 2155-3165. DOI: 10.1364/ AO.30.001179.
[10] F. Quercioli, B. Tiribilli, C. Ascoli, P. Baschieri and C. Frediani.“Monitoring of an atomic force microscope cantilever with a compact disk pickup”. Review of Scientific Instruments. Vol. 70, No. 9, pp. 3620–3624, 1999. ISSN: 0034–6748. DOI: 10.1063/1.1149969.
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[18] K. C. Fan, C. L. Chu, J. L. Liao and J. I. Mou. “Development of a high-precision straightness measuring system with DVD pick-up head”. Measurement Science and Technology.Vol. 14, No. 1, pp. 47–54, 2003. ISSN: 0957–0233. DOI: 10.1088/0957-0233/14/1/307.
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[25] C. L. Jones. “Cryptographic hash functions and CD-based optical biosensors”. Problems of Nonlinear Analysis in Engineering Systems.Vol. 2, No. 23, pp. 17–36, 2005. ISSN: 1727-687X.
[26] A. Tibbe, B. De Grooth, J. Greve, C. Rao, G. Dolan and L. Terstappen. “Cell analysis system based on compact disk technology”. Cytometry.Vol. 47, No. 3, pp. 173–182, 2002. ISSN: 0196–4763. DOI: 10.1002/ cyto.10061.
[27] J. Kim, G. Liu and L. Lee. “Lens-scanning Raman microspectroscopy system using compact disc optical pickup technology”. Optics Express. Vol. 13, No. 12, pp. 4780–4785, 2005. ISSN: 1094–4087.DOI: 10.1364/OPEX.13.004780.
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[29] S. Kostner and M. Vellekoop. “Particle and cell detection using a DVD pickup head”. Biennial Report of The Society for Micro- and Nanoelectronics, 2005–2006, pp. 401–404.
[30] S. Kostner and M. Vellekoop.“Low cost cytometer based on a DVD pickup head”. Eleventh International Conference on Miniaturized Systems for Chemistry and Life Sciences. Paris, France, 2007, pp. 739–741.
[31] S. Kostner and M. Vellekoop. “Cell analysis in a microfluidic cytometer applying a DVD pickup head”. Sensors and Actuators B Vol. 132, No. 2, pp. 512–517, 2008. ISSN: 0925-4005. DOI: 10.1016/j.snb.2007.11.038.
[32] V. Yim, S. Y. Lee, S. Kim and J. Y. Park. “Multipurpose DVD pick-up scanner for analysis of microfluidics and micromechanical structures”. 30th Annual International IEEE EMBS Conference.Vancouver, Canada, 2008. pp. 2749–2751.
[33] K. H. Kim, S. Y. Lee, S. Kim, S. H. Lee and S. G. Jeong. “A new DNA chip detection mechanism using optical pick-up actuators”. Microsystem Technologies. Vol. 13, No. 8–10, pp.1359–1369, 2007. ISSN: 1432–1858. DOI: 10.1007/s00542-006-0367-9.
[34] K. H. Kim, S. Y. Lee, S. Kim and S. G. Jeong. “DNA microarray scanner with a DVD pick-up head”. Current Applied Physics. Vol. 8, No. 6, pp. 687–69, 2008, ISSN: 1567-1739. DOI: 10.1016/j.cap.2007.04.047.
[35] K. H. Park et al. “Bio-information scanning technology using an optical pick-up head”. Ultramicroscopy. Vol. 108, No. 10, pp. 1319–1324, 2008. ISSN: 0304- 3991. DOI: 10.1016/j.ultramic.2008.04. 074.
[36] T. R. Armstrong and M. P. Fitzgerald. “An autocollimator based on the laser head of a compact disc player”. Measurement Science and Technology.Vol. 3, No. 11, pp. 1072–1076, 1992. ISSN: 0957–0233. DOI: 10.1088/0957-0233/3/11/009.
[37] M. Felton. “CD simplicity”.Analytical Chemistry.Vol. 75, No. 13, pp. 302A–306A, 2003. ISSN: 1520-6882. DOI: 10.1021/ac031357z.
[38] C. A. Monje, Y Chen, B. M. Vinagre, D.Xue, and V. Feliu, “Fractional-order systems and controls :fundamentals and applications”. Springer-Verlag.1st Edition. 415 p. London, England. ISBN: 978-1849963343. 2010.
[39] A. Oustaloup, P. Melchior, P. Lanusse, O. Coisand F. Dancla. “The CRONE toolbox for Matlab”. IEEE International Symposium on Computer-Aided Control System Design, CACSD 2000, Anchorage, USA, 2000.190– 195.
[40] C.Monje. “Tuning and Auto-tuning of Fractional Order Controllers for Industry Applications”. Control Engineering Practice. Vol. 16.No. 7. Pp.798-812. 2008.
[41] D. Valerio, J.S. Da Costa. “Tuning rules for fractional PIDs”. Advances in Fractional Calculus: Theoretical Developments and Applications.Springer 1st Ed. Pp.463–476. Dordrecht, The Neterlands. ISNB: 978-1- 4020-6041-0. 2007.
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Publicado
2012-07-01
Cómo citar
Ortiz Valencia, P. A., & Cardona Rendón, L. (2012). Control PID tipo fraccional para la posición del cabezal de una unidad de CD para aplicaciones en microscopia óptica. ITECKNE, 9(2), 106–117. https://doi.org/10.15332/iteckne.v9i2.2763
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Artículos de Investigación e Innovación
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