A Comparative Study of LQR and Sliding Control for Ball and Beam System

Ich-Long Tran, Quang-Huy Pham, Minh-Hoai Phan, Quach-Anh-Tuan Tieu, Thai-Minh Nguyen, Duy-Dat Nguyen, Quang-Nhat-Hieu Le, Van-Dong-Hai Nguyen*

Ho Chi Minh city University of Technology and Education (HCMUTE)
Vo Van Ngan Str., No. 01, Thu Duc city, Ho ChiMinh City, Vietnam
* Corresponding author. E-mail: hainvd@hcmute.edu.vn

Robotica & Management, Vol. 29, No. 1, pp. 28-33
DOI: https://doi.org/10.24193/rm.2024.1.5

Abstract: In this paper, we will survey two controllers, a linear control (LQR) and sliding mode control (SMC) on a central axis ball and beam (B&B) – a single input-multiple output (SIMO) system through simulation and experiment. In experiment, we present a hardware platform using STM32F407 for this model. Beside simulation results, the results in experiment prove the effectiveness of both methods in different cases. Thence, through this research, the advantages and disadvantages of the two controllers are demonstrated for designers to select in suitable cases.

Keywords: LQR, sliding mode control, ball and beam, SIMO system.

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References

[1] Ang K.H. et al: “PID control system analysis, design, and technology”, in IEEE Transactions on Control Systems Technology, vol.13, no.4,  pp. 559-576, 2005.

[2] Shah M. et al: “Control of Ball and Beam with LQR Control Scheme using Flatness Based Approach”, International Conference on Computing, Electronic and Electrical Engineering (ICE Cube), 2018

[3] Sastry S., “Lyapunov Stability Theory”, Nonlinear Systems,  Volume 10, Springer New York, NY, 1999.

[4] Almutairi N.B., Zribi M.: “On the sliding mode control of a ball on a beam system”, Nonlinear Dynamics, 59(1-2), 221–238, (2010).

[5] Cardona S. et al: “Sliding Mode Control based on Feedback Linearization for a Ball and Beam System”, IEEE 4th Colombian Conference on Automatic Control, 2019.

[6] Nguyen M.Q. et al: “Fuzzy Controller from Experts’ Rules for Middle Axis Ball and Beam”, Journal of fuzzy systems and control, Vol. 1, No 3, pp. 80-84, 2023.

[7] Hoang H.T.: “Intelligent control system”, Ho Chi Minh City National University Publishing House, 2006.