Articles
Estimation of state variables (LA and LC) in control systems
Fernando Mesa- Rogelio Ospina-Ospina
- German Correa-Velez
Published 2020-11-03
Keywords
- control,
- convergence,
- dynamics,
- error,
- states
- estimation,
- loop,
- observer,
- observability,
- regulator,
- time ...More
How to Cite
Mesa, F., Ospina-Ospina, R., & Correa-Velez, G. (2020). Estimation of state variables (LA and LC) in control systems. Revista UIS Ingenierías, 20(1), 115–120. https://doi.org/10.18273/revuin.v20n1-2021010
Copyright (c) 2020 Revista UIS Ingenierías
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Abstract
In this article, the formulation for the estimation of state variables in closed loop and open loop in a control system was initially presented; Next, the advantages and disadvantages that could arise when implementing either of the two models were shown and explained. Finally, as an application, the case of a hydraulic system was studied with which it is concluded on the importance of estimating the state variables of a system that it is desired to control.
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References
[1] Y. Levinbook, T. F. Wong, “State Estimation With Initial State Uncertainty”, IEEE Transactions on Information Theory, vol. 54, no. 1, pp. 235-254, 2008, doi: 10.1109/TIT.2007.911171
[2] A. R. Plummer, N. D. Vaughan, “Robust adaptive control for hydraulic servosystems”, Journal of Dynamic Systems Measurement and Control, vol. 118, pp 237-244, 1996, doi: 10.1115/1.2802309
[3] D. Rowell, “Time-domain solution of LTI state equations”, 2002. [En línea]. Disponible en: http://web.mit.edu/2.14/www/Handouts/StateSpaceResponse.pdf.
[4] G. C. Goodwin, S. F. Graebe, M. E. Salgado, Control system design. New Jersey, NJ, USA: Prentice Hall, 2001.
[5] A. González, S. Morales, “Control de Velocidad de Aerogenerador mediante Realimentación de Variables de Estado”, Ciencia e Ingeniería, vol. 38, no 2, pp. 123-130, 2017.
[6] A. Rouhani, A. Abur, “Tracking the machine states using a linear phasor estimator assisted dynamic state estimator”, en IEEE PES General Meeting, 2014, pp. 1-5, doi: 10.1109/PESGM.2014.6939364
[7] J. Baranowski, A. Tutaj, “State and parameter estimation in a hydraulic system-moving horizon approach”, en 13th International Power Electronics and Motion Control Conference, 2008, pp. 1432-1439, doi: 10.1109/EPEPEMC.2008.4635469
[8] D. L. Albarracín, “Control de sistemas multivariables aplicado a un generador eólico conectado a un sistema de potencia”, trabajo de pregrado, Universidad Tecnológica de Pereira, 2013.
[9] S. Joshi, “Stability regions for multiloop LQ-regulated systems with state estimators”, IEEE Transactions on Automatic Control, vol. 31, no. 12, pp. 1151-1153, 1986, doi: 10.1109/TAC.1986.1104198
[10] S. Markov, N. Kyurkchiev, A. Iliev, A. Rahnev, “A note on the log–logistic and transmuted log–logistic models. Some applications”, Dynamic Systems and Applications, vol. 27, no. 3, pp. 593-607, 2018, doi: 10.12732/dsa.v27i3.9
[11] O. L. Roa, G. A. Contreras, L. V. Medina, H. Vega, “Modelado matemático, simulación, análisis y control de un sistema hidráulico interactivo-tres tanques en serie”, Revista de Tecnología, vol. 16, no. 1, pp. 77-98, 2018, doi: 10.18270/rt.v16i1.2318
[12] E. Alcorta García, P. M. Frank, “Deterministic nonlinear observer-based approaches to fault diagnosis: A survey”, Control Engineering Practice, vol. 5, no. 5, pp. 663-670, 1997, doi: 10.1016/S0967-0661(97)00048-8
[13] J. J. Climenta, V. Herranz, C. Perea, “Linear system modelization of concatenated block and convolutional codes”, Linear Algebra and its Applications, vol. 429, no. 5-6, pp. 1191-1212, 2008, doi: 10.1016/j.laa.2007.09.006.
[14] J. Davila, L. Fridman, A. Levant, “Second-order sliding-mode observer for mechanical systems”, IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1785-1789, 2005, doi: 10.1109/TAC.2005.858636
[15] K. Narendra, A. Annaswany, Stable adaptive systems. Nueva York, NY, USA: DOVER PUBLICATION INC., 1989.
[16] A. Aguado, A. Cipriano, “Identificación en lazo cerrado y ajuste de reguladores mediante algoritmos genéticos”, Revista Iberoamericana de Automática e Informática Industrial RIAI, vol. 6, no. 1, pp. 20-30, 2009, doi: 10.1016/S1697-7912(09)70073-1
[2] A. R. Plummer, N. D. Vaughan, “Robust adaptive control for hydraulic servosystems”, Journal of Dynamic Systems Measurement and Control, vol. 118, pp 237-244, 1996, doi: 10.1115/1.2802309
[3] D. Rowell, “Time-domain solution of LTI state equations”, 2002. [En línea]. Disponible en: http://web.mit.edu/2.14/www/Handouts/StateSpaceResponse.pdf.
[4] G. C. Goodwin, S. F. Graebe, M. E. Salgado, Control system design. New Jersey, NJ, USA: Prentice Hall, 2001.
[5] A. González, S. Morales, “Control de Velocidad de Aerogenerador mediante Realimentación de Variables de Estado”, Ciencia e Ingeniería, vol. 38, no 2, pp. 123-130, 2017.
[6] A. Rouhani, A. Abur, “Tracking the machine states using a linear phasor estimator assisted dynamic state estimator”, en IEEE PES General Meeting, 2014, pp. 1-5, doi: 10.1109/PESGM.2014.6939364
[7] J. Baranowski, A. Tutaj, “State and parameter estimation in a hydraulic system-moving horizon approach”, en 13th International Power Electronics and Motion Control Conference, 2008, pp. 1432-1439, doi: 10.1109/EPEPEMC.2008.4635469
[8] D. L. Albarracín, “Control de sistemas multivariables aplicado a un generador eólico conectado a un sistema de potencia”, trabajo de pregrado, Universidad Tecnológica de Pereira, 2013.
[9] S. Joshi, “Stability regions for multiloop LQ-regulated systems with state estimators”, IEEE Transactions on Automatic Control, vol. 31, no. 12, pp. 1151-1153, 1986, doi: 10.1109/TAC.1986.1104198
[10] S. Markov, N. Kyurkchiev, A. Iliev, A. Rahnev, “A note on the log–logistic and transmuted log–logistic models. Some applications”, Dynamic Systems and Applications, vol. 27, no. 3, pp. 593-607, 2018, doi: 10.12732/dsa.v27i3.9
[11] O. L. Roa, G. A. Contreras, L. V. Medina, H. Vega, “Modelado matemático, simulación, análisis y control de un sistema hidráulico interactivo-tres tanques en serie”, Revista de Tecnología, vol. 16, no. 1, pp. 77-98, 2018, doi: 10.18270/rt.v16i1.2318
[12] E. Alcorta García, P. M. Frank, “Deterministic nonlinear observer-based approaches to fault diagnosis: A survey”, Control Engineering Practice, vol. 5, no. 5, pp. 663-670, 1997, doi: 10.1016/S0967-0661(97)00048-8
[13] J. J. Climenta, V. Herranz, C. Perea, “Linear system modelization of concatenated block and convolutional codes”, Linear Algebra and its Applications, vol. 429, no. 5-6, pp. 1191-1212, 2008, doi: 10.1016/j.laa.2007.09.006.
[14] J. Davila, L. Fridman, A. Levant, “Second-order sliding-mode observer for mechanical systems”, IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1785-1789, 2005, doi: 10.1109/TAC.2005.858636
[15] K. Narendra, A. Annaswany, Stable adaptive systems. Nueva York, NY, USA: DOVER PUBLICATION INC., 1989.
[16] A. Aguado, A. Cipriano, “Identificación en lazo cerrado y ajuste de reguladores mediante algoritmos genéticos”, Revista Iberoamericana de Automática e Informática Industrial RIAI, vol. 6, no. 1, pp. 20-30, 2009, doi: 10.1016/S1697-7912(09)70073-1