Optimal Control of 5GDL Subactuated Tower Crane
DOI:
https://doi.org/10.17979/ja-cea.2026.47.13711Keywords:
Optimal control theory, Robust control, Predictive control, Robustness analysis, Modeling, Automatic control, Application of nonlinear analysis and designAbstract
This work consists of modelling from scratch a tower crane with five degrees of freedom, which is underactuated, from both a kinematic and dynamic perspective. In addition, a parametric trajectory generator has been developed depending on the type of trajectory wished, the duration of the movement or the precision of it. The dynamic model has been obtained from the formulation of Euler-Lagrange that later has been used as the real system in the simulations. The model has been made lineal by Jacobians, directed to the extraction of the state space of the system, and therefore focused on MIMO control. From the simplification, the controls that have been tuned LQR and MPC types, that solve optimally the values of the control signals depending on the weighs applied. These controls have been tested in trajectory pursuit, disturbance rejection and robustness analysis.
References
Alvarez, F. G., 1994. Contribuciones al problema del control óptimo. Ph.D.thesis, Universidad de Sevilla.
Barrientos, A., 2012. Fundamentos de robótica, 2nd Edition. McGraw-Hill España, Madrid, [En Línea].URL: https://elibro.net/es/ereader/bibliotecaus/50193?page=164
Cortés, J. C., marzo 2008. La representación de Denavit-Hartenberg. Material docente, Universidad de Sevilla. URL: https://personal.us.es/jcortes/Material/Material.htm
Kim, D.-J., Choi, J.-H., Chun, Y.-D., Koo, D.-H., Han, P.-W., 2014. The study of the stray load loss and mechanical loss of three phase induction motor considering experimental results. Journal of Electrical Engineering and Technology 9 (1), 121–126. URL: https://www.koreascience.kr/article/JAKO201401671902952.page DOI: 10.5207/JIEIE.2014.28.1.069
Lassébie, J., Quintini, G., 2022. What skills and abilities can automation technologies replicate and what does it mean for workers?: New evidence. OECD Social, Employment and Migration Working Papers 282, OECD Publishing, Paris. URL: https://doi.org/10.1787/646aad77-en DOI: 10.1787/646aad77-en
Martínez Ribes, D., julio 2016. Diseño y cálculo de la estructura de una grúa pórtico de 50 t de capacidad y 50 m de luz. Trabajo de fin de grado, Universitat Jaume I, Castellón de la Plana.
McKinsey Global Institute, enero 2017. Un futuro que funciona: Automatización, empleo y productividad. Resumen ejecutivo, McKinsey & Company. URL: https://www.mckinsey.com/featured-insights/digital-disruption/harnessing-automation-for-a-future-that-works
Nocón, , Grzyb, M., Szmidt, P., Koruba, Z., Nowakowski, , 2022. Control analysis with modified LQR method of anti-tank missile with vectorization of the rocket engine thrust. Energies 15 (1), 356. URL: https://www.mdpi.com/1996-1073/15/1/356 DOI: 10.3390/en15010356
Parascho, S., 2023. Construction robotics: From automation to collaboration. Annual Review of Control, Robotics, and Autonomous Systems 6 (1), 183–204. URL: https://doi.org/10.1146/annurev-control-080122-090049 DOI: 10.1146/annurev-control-080122-090049
Ramírez, A. M., 2011. Diseño y cálculo de una grúa torre. Acceso abierto. URL: https://upcommons.upc.edu/entities/publication/094cab97-9299-4d1d-9628-bf159621843a
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Alejandro Noci, Francisco R. Rubio

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.