Reduction of Overshoot in a Scissor Lift Using State Observer, LQR, and LQG

Reduction of Overshoot in a Scissor Lift Using State Observer, LQR, and LQG

Authors

  • Daniel Soto Universidad Estatal Península de Santa Elena

Keywords:

Elevador de Tijeras, Simscape, PID, Motor DC, Observador de Estado, LQR, LQG

Abstract

Scissor lifts are crucial in various industries, known for their robust design and ability to lift heavy loads to significant heights. Their interlinked scissor mechanism allows controlled elevation and descent of the work platform. Precision and safety in their operation are essential to prevent accidents and ensure efficiency. A critical issue is the "overshoot," where the lift exceeds the desired height before stabilizing, causing instability and safety risks. This phenomenon is related to the system's dynamics and control, which typically employ hydraulic or electric systems to regulate the extension and retraction of the scissors. Precision in these systems is vital to stop the platform at the correct height smoothly and accurately.

This paper presents a solution based on MATLAB/Simulink to improve the overshoot in scissor lifts using advanced control techniques. Different control strategies are implemented and evaluated, including the use of a State Observer, LQR (Linear Quadratic Regulator), and LQG (Linear Quadratic Gaussian Controller). The State Observer is used to estimate the system's internal variables, allowing for more precise feedback. The LQR is employed to design a controller that minimizes a cost function, optimizing the balance between control effort and state error. Finally, the LQG incorporates a Kalman filter to handle system uncertainty and noise, providing robust and efficient control. This demonstrates a significant improvement in the precision and stability of the scissor lift, reducing overshoot and enhancing operational safety. This research contributes to the development of more advanced and safer control systems for industrial applications, optimizing the performance and reliability of scissor lifts.

References

https://www.mathworks.com/matlabcentral/fileexchange/36553-scissor-lift-model-in-simscape-multibody.

Braschi, E. A. (2014). Enfoque Practico del Control Moderno con Aplicaciones en Matlab (Uni versidad Peruana de Ciencias Aplicadas S. A. C. ed.). Lima, Per´ u: Universidad Peruana de Ciencias Aplicadas. Recuperado el 25 de 06 de 2024.

O. Nazarova and V. Osadchyy and S. Shulzhenko, ”Influence of Supply Voltage on the Accuracy of Two-Speed Elevator Positioning,” 2021 IEEE International Conference on Modern Electrical and En ergy Systems (MEES), 2021, pp. 1-4, doi: 10.1109/MEES52427.2021.9598664.

J. Gonzalez-Villagomez and C. Rodriguez-Donate and M. Lopez-Ramirez and R.I. Mata-Chavez and O. Palillero-Sandoval, ”Novel Iterative Feedback Tuning Method Based on Overshoot and Settling Time with Fuzzy Logic,” Processes, vol. 11, p. 694, 2023, doi: 10.3390/pr110 30694.

H. Lee and K. Nam, ”Online Overshoot Suppression Method for EV Propulsion Motor Considering Cross-Coupled Inductance,” IEEE Transactions on Industrial Electronics, vol. 65, no. 12, pp. 9255-9265, 2018, doi: 10.1109/TIE.2018.2815944.

W. Zhang and X. Zhang and C. Yan and S. Xiang and L. Wang, ”A characteristic triangle method on input vectors of scissor lift mechanism and its applications in modeling and analysis,” Journal of Advanced Mechanical Design, Systems, and Manufacturing, vol. 9, no. 3, p. JAMDSM0042, 2015, doi: 10.1299/jamdsm.2015jamdsm0042.

T. Funk and N. Savosteenko and T. Kazantseva, ”Mechatronic System of Single-Column Lift with Improved Accuracy of Positioning and Smoothness of Freight Movement,” 2018 International Russian Automation Conference (RusAutoCon), 2018, pp. 1-5, doi: 10.1109/RUSAUTOCON.2018. 8501614.

M.T. Islam and C. Yin and S. Jian and L. Rolland, ”Dynamic analysis of Scissor Lift mechanism through bond graph modeling,” 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, 2014, pp. 1393-1399, doi: 10.1109/AIM.2014.6878277.

H. Choe and Y. Kwon and J. Jo and K. Ri and H. Jang and T. Xing, ”A method to Improve the Stability of Scissor Lifting Platform by using Finite Element Analysis,” International Journal of Scientific Research in Science, Engineering and Technology, vol. 9, no. 2, pp. 314-322, 2022, doi: 10.32628/IJSRSET229253.

R. Juarez and M. Ledet and D. Johnson and M.H. Tanveer and M. Marshall, ”Design and Im plementation of a Cost-Effective Semi-Autonomous Scissor Lift Robot for Industrial Material Handling,” SoutheastCon 2018, 2018, pp. 1-5, doi: 10.1109/SECON.2018.8478995.

walter.cargua@epn.edu.ec, W. C. (s.f.). Comparaci´on de esquemas de control para reactores qu´ ımicostipo CSTR.(v. 3.-1. Ciencia e Ingenier´ıa, Productor) Recuperado el 25 de 06 de 2024, de redalyc: https://www.redalyc.org/journal/5075/507557606009/html/

Zolotas, Argyrios. Chaudhuri, B. Jaimoukha, I.M. Korba, P.. (2007). A Study on LQG/LTR Control for Damping Inter-Area Oscillations in Power Systems. Control Systems Technology, IEEE Transactions on. 15. 151- 160. 10.1109/TCST.2006.883232

Downloads

Published

2024-09-10

How to Cite

Reduction of Overshoot in a Scissor Lift Using State Observer, LQR, and LQG. (2024). EcoSur: Innovation, Technology and Sustainable Development of Latin America, 1(06), 1-21. https://doi.org/10.61582/addy4717

How to Cite

Reduction of Overshoot in a Scissor Lift Using State Observer, LQR, and LQG. (2024). EcoSur: Innovation, Technology and Sustainable Development of Latin America, 1(06), 1-21. https://doi.org/10.61582/addy4717
Loading...