Balancing and Trajectory-Tracking by LQR Control for Linear Triple-Linked Pendubot

Trong-Bang Tran*, Minh-Dat Luong, Hai-Dang Nguyen, Minh-Dang Nguyen, Trong-Sang Truong, Huu-Minh-Quan Nguyen, Tran-Dinh-Vy Bui, Xuan-Tuan Le

Ho Chi Minh city University of Technology and Education (HCMUTE)
Vo Van Ngan street, No. 01, Ho Chi Minh City, Vietnam
* Corresponding author. E-mail: 20151093@student.hcmute.edu.vn

Robotica & Management, Vol. 29, No. 1, pp. 34-38
DOI: https://doi.org/10.24193/rm.2024.1.6

Abstract: Pendubot is a popular single input-multi output (SIMO) in laboratories to test control algorithms. In this paper, we focus on a developed model of pendubot – linear triple-linked pendubot (LTLP) and propose LQR to control this model. Through simulation, link 1 is kept balanced, kept following trajectories when link 2, 3 is kept upward under LQR control. Thence, besides balancing well this model at TOP position, our algorithm also makes system tracking sine and pulse trajectories well.

Keywords: LQR algorithm; pendubot; optimal control; SIMO system.

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References

[1] Hùng P.V.: “Nghiên cứu điều khiển cánh tay robot thiếu dẫn động hai bậc tự do – pendubot / Research on controlling a robot arm lacking a two-degree-of-freedom actuation – pendubot”, Master thesis, University of Da Nang, 2013.

[2] Nguyen N.T. et al: “Điều khiển hệ Pendubot sử dụng dạng toàn phương tuyến tính dựa trên logic mờ / Pendubot Controls using Linear Quadratic Regulator Combined Fuzzy”, Journal of Science, Dong Thap University, No. 38, pp. 89-93, 2019.

[3] Nguyen P.H. et al: “Optimal Control for 3-linked Pendubot”, Journal of Science, Tien Giang University, No. 09, pp. 12-17, 2020.

[4] Van N.T. et al: “Controlling the Motion of a Planar 3-DOF Manipulator Using PID Controllers”, INCAS Bulletin, Vol. 9 Issue 4, p91-99, 2017.

[5] Shao-qiang Y., Xin-xin L.: “Modeling and Analyses of the N-link PenduBot”. In: Qi, L. (eds) Information and Automation. ISIA 2010. Communications in Computer and Information Science, vol 86. Springer, 2011.

[6] Hoàng H.T.: “Hệ thống điều khiển thông minh / Intelligent control system”, National University Ho Chi Minh Publisher, 2006.

[7] Charig N.: “PID Controller-Defintion and explations,” 2020.

[8] Tuấn N.A.: “Xây dựng giải thuật điều khiển trượt Swing up và cân bằng LQR hệ pendubot / Building an algorithm to control Swing up and balance LQR for the pendubot system”, Master thesis, Ho Chi Minh city University of Technology, 2017.