Minh-Duy Vo 1, Van-Dat Nguyen 1, Dac-Hoa Huynh 1, Trung-Hieu-Duy Phan 1, Tuan-Nam Nguyen 1, Nguyen-Anh-Khoa Dinh 1, Minh-Duc Tran 2, Minh-Tai Vo 2,3,*
1 Ho Chi Minh City University of Technology and Education (HCMUTE)
Vo Van Ngan St., No. 01, Thu Duc City, Ho Chi Minh City, 700000, Vietnam
2 Ho Chi Minh City University of Technology (HCMUT), VNU-HCMC
Ly Thuong Kiet St., No. 268, District 10, Ho Chi Minh City, 700000, Vietnam
3 School of Science, Engineering and Technology, Royal Melbourne Institute of Technology
Nguyen Van Linh Blvd., No. 702, Tan Hung ward, District 7, HCMC, 700000, Vietnam
* Corresponding author. E-mail: tai.vo3@rmit.edu.vn
Robotica & Management, Vol. 28, No. 1, pp. 59-67
DOI: https://doi.org/10.24193/rm.2023.1.8
Abstract: In this article, the rotary double parallel inverted pendulum (RDPIP) is researched and presented. Additionally, some linear controllers, such as PID, PID, PID-LQR cascade, are proposed, developed to control RDPIP, and the impact of those controllers on the rotary double inverted pendulum was examined. The research and simulation results are implemented in the Matlab/Simulink toolbox to prove the ability of these types of controller in balancing this model.
Keywords: Rotary double parallel inverted pendulum, RDPIP, PID-LQR, cascade, LQR..
References
[1] Liao W., Liu Z., Wen S., Bi S., Wang D.: “Fractional PID based stability control for a single link rotary inverted pendulum”, in Proceedings of the 2015 International Conference on Advanced Mechatronic Systems, Beijing, 2015.
[2] Wang C., Liu X., Shi H., Xin R., Xu X.: “Design and implementation of fractional PID controller for rotary inverted pendulum”, in The 30th Chinese Control and Decision Conference (2018 CCDC), Chinese, 2018.
[3] Chawla I., Singla A.: “Real Time Stabilization Control of a Rotary Inverted Pendulum Using LQR-Based Sliding Mode Controller”, Arabian Journal for Science and Engineering , p. 46:2589–2596, 2021.
[4] Nguyen C.X., Tran T.T., Pham T.X., Le K.M.: “Design of control laws for rotary inverted pendulum based on LQR and Lyapunov function”, in IOP Conf. Series: Materials Science and Engineering, 2021.
[5] Setiawan N., Pratama G.N.P.: “Application of LQR Full-State Feedback Controller for Rotational Inverted Pendulum”, in ICE-ELINVO 2021, 2021.
[6] Wang Y., Mao W., Xin B., Wang Q., Wei J.: “Cooperative Control of Rotating Inverted Pendulum based on Fuzzy Control”, in The 10th International Symposium on Computational Intelligence and Industrial Applications (ISCIIA2022), Beijing, China, 2022.
[7] Eini R., Abdelwahed S.: “Indirect Adaptive Fuzzy Controller Design for a Rotational Inverted Pendulum”, in 2018 Annual American Control Conference (ACC), Milwaukee, USA, 2018.
[8] Cui J.: “Numerical Design Method for Nonlinear Sliding Mode Control of Inverted Pendulum”, in Proceedings of the 38th Chinese Control Conference, Guangzhou, China, 2019.
[9] Khanesar M.A., Teshnehlab M., Shoorehdeli M.A.: “Sliding Mode Control of Rotary Inverted Pendulum”, in 2007 Mediterranean Conference on Control and Automation, Althens, Greece, 2007.
[10] Mehedi I.M., Al-Saggaf U.M., Bettayeb M., Mansouri R.: “Stabilization of a double inverted rotary pendulum through fractional order integral control scheme”, International Journal of Advanced Robotic Systems, 2019.
[11] Ananthan S.S.: “Advanced Control Strategies for Rotary Double Inverted Pendulum”, International Journal of Engineering and Management Research, vol. 12, no. 4, 2022.
[12] Singh S., Swarup A.: “Control of Rotary Double Inverted Pendulum using Sliding Mode Controller”, in 2021 International Conference on Intelligent Technologies (CONIT), Karnataka, India, 2021.
[13] Aribowo A.G., Nazaruddin Y.Y., Joelianto E., Sutarto H.Y.: “Stabilization of Rotary Double Inverted Pendulum using Robust Gain-Scheduling Control”, in ICE Annual Conference 2007, Kagawa University, Japan, 2007.
[14] Zhao X., Zhang Z., Huang J.: “Energy-based Swing up of rotary parallel inverted pendulum”, in 2016 12th World Congress on Intelligent Control and Automation (QCICA), Guilin, China, 2016.
[15] Yu J., Zhang X.: “The Global Control of First Order Rotary Parallel Double Inverted Pendulum System”, in Proceedings of the 40th Chinese Control Conference, Shanghai, China, 2021.
[16] Sugie T., Okada M.: “Control of a Parallel Inverted Pendulum System” シ ス テ ム 制 御 情 報 学 会 論 文 誌, vol. Vol.6, p. pp.543～551, 1993.
[17] Khoi H.D.: “Using LQR Algorithm to Control Circular Two Stage Parallel Inverted Pendulum System”, Bulletin of College of Engineering National Ilan University, vol. No. 9, pp. PP. 101-114, 2013.
[18] Dinh K.H.: “Using LQR Algorithm to Control Circular Two Stage Parallel Inverted Pendulum System”, Bulletin of College of Engineering National Ilan University, Taiwan, December 2013.
[19] Chandran D., Krishna B., George V.I., Thirunavukkarasu I.: “System Identification ofRotary Double Inverted Pendulum Using Artificial Neural Networks”, in 2015 International Conference on Industrial Instrumentation and Control (ICIC), Pune, India, 2015.