Discrete Implementation of an Extended State Observer for a Laser Beam System (LBS): Simulations and Experimental Results

https://doi.org/10.58571/CNCA.AMCA.2024.095

Resumen: This paper explores the discrete implementation of an Extended State Observer (ESO) for a Laser Beam Stabilization (LBS) system, presenting both simulation and experimental results. The study compares a conventionally discretized ESO with a predictor-corrector ESO within a PD control scheme, aiming to reject disturbances and improve real-time performance. The predictor-corrector ESO demonstrates superior disturbance estimation and compensation capabilities, significantly enhancing the precision of laser beam positioning. This implementation lays the groundwork for integrating Active Disturbance Rejection Control (ADRC) with Model Predictive Control (MPC) in a modular approach for advanced optomechatronic systems.

¿Cómo citar?

Vásquez Cruz, R.I., Guerrero Castellanos, J.F. & Castellanos Velasco, E. (2024). Discrete Implementation of an Extended State Observer for a Laser Beam System (LBS): Simulations and Experimental Results. Memorias del Congreso Nacional de Control Automático 2024, pp. 560-565. https://doi.org/10.58571/CNCA.AMCA.2024.095

Palabras clave

LBS system, Extended State Observer (ESO), Active Disturbance Rejection
Control (ADRC), real-time performance, opto mechatronics

• Al-Alwan, A., Guo, X., N’Doye, I., and Laleg-Kirati, T.M. (2017). Laser beam pointing and stabilization by fractional-order pid control: Tuning rule and experiments. In 2017 IEEE Conference on Control Technology and Applications (CCTA). IEEE.
• Alizadegan, A., Zhao, P., Nagamune, R., and Chiao, M. (2018). Robust H∞ control of miniaturized optical image stabilizers against product variabilities. Control Engineering Practice, 80, 70–82.
• Deng, J., Xue, W., Zhou, X., and Mao, Y. (2020). On disturbance rejection control for inertial stabilization of long-distance laser positioning with movable platform. Measurement and Control, 53(7–8), 1203–1217.
• Feng, H. and Guo, B.Z. (2017). Active disturbance rejection control: Old and new results. Annual Reviews in Control, 44, 238–248.
• Franklin, G., Powell, J., and Workman, M. (2022). Digital Control of Dynamic Systems-Third Edition. Ellis-Kagle Press.
• Gonzalez-Romeo, L.L., Reyes-Baez, R., GuerreroCastellanos, J.F., Jayawardhana, B., Cid-Monjaraz, J.J., and Felix-Beltran, O.G. (2020).
• Contractionbased nonlinear controller for a laser beam stabilization system using a variable gain. IEEE Control Systems Letters, 5(3), 761–766.
• Guerrero-Castellanos, J.F. and González-Romeo, L.L. (2021). Sistema de control de posición mediante rechazo activo de perturbaciones para sistemas ópticos láser. Revista Iberoamericana de Automática e Informática industrial, 19(1), 61–73.
• Herbst, G. (2013). A simulative study on active disturbance rejection control (adrc) as a control tool for practitioners. Electronics, 2(3), 246–279.
  Isermann, R. (2003). Mechatronic Systems. Springer, London, England.
• Kannatey-Asibu, E. (2023). Principles of Laser Materials Processing: Developments and Applications. Wiley. Kim, B.S., Gibson, S., and Tsao, T.C. (2004). Adaptive control of a tilt mirror for laser beam steering. In Proceedings of the 2004 American Control Conference. IEEE.
• Landolsi, T., Dhaouadi, R., and Aldabbas, O. (2011). Beam-stabilized optical switch using a voice-coil motor actuator. Journal of the Franklin Institute, 348(1), 1–11.
• Li, J., Xia, Y., Qi, X., and Wan, H. (2018). On convergence of the discrete-time nonlinear extended state observer. Journal of the Franklin Institute, 355(1), 501–519.
• Martinez, J.J., Sename, O., and Voda, A. (2009). Modeling and robust control of blu-ray disc servomechanisms. Mechatronics, 19(5), 715–725.
• Miklosovic, R., Radke, A., and Gao, Z. (2006). Discrete implementation and generalization of the extended state observer. In 2006 American Control Conference. IEEE.
• Perez-Arancibia, N., Gibson, J., and Tsao, T.C. (2009). Frequency-weighted minimum-variance adaptive control of laser beam jitter. IEEE/ASME Transactions on Mechatronics, 14(3), 337–348.
• Pérez Arancibia, N.O. (2006). Variable-order adaptive control of a microelectromechanical steering mirror for suppression of laser beam jitter. Optical Engineering, 45(10), 104206.
• Quanser (2010). Laser beam stabilization instructor manual. Quanser. Quanser Speciality Experiment Series: LBS Laboratory Workbook.
• Quanser (2021). Qpide data acquisition device.
  Sira-Ramírez, H., Luviano-Juárez, A., Ramírez-Neria, M., and Zurita-Bustamante, E. (2017).
• Active Disturbance Rejection Control of Dynamic Systems: A Flatness Based Approach. Elsevier Inc., Estados Unidos. Publisher Copyright: © 2017 Elsevier Inc. All rights reserved.
• Tran, M.S. and Hwang, S.J. (2020). Design and simulation of electromagnetic linear actuators for jet dispensers. Applied Sciences, 10(5), 1653.
• Yue, Y. and Song, Z. (2015). An integral resonant control scheme for a laser beam stabilization system. In 2015 IEEE International Conference on Information and Automation. IEEE.