Thi-Thanh-Hoang Le
Ho Chi Minh city University of Technology and Education (HCMUTE)
01-Vo Van Ngan street, Ho Chi Minh city, Vietnam
* Corresponding author. E-mail: hoangltt@hcmute.edu.vn
Robotica & Management, Vol. 28, No. 1, pp. 28-35
DOI: https://doi.org/10.24193/rm.2023.1.4
Abstract: Manuscript provides a key technology, namely Input-Output Feedback Linearization Associates with Linear Quadratic Regulator (for short, IOFLALQR). The objective of this research is to study the possibility of integrating two control strategies, which includes input-output feedback linearization technique (for short, IOFL) and linear quadratic regulator controller (for short, LQR), for stabilization control of Furuta pendulum system. Furuta pendulum system belongs to the group of under-actuated robot systems. In this work, structure of IOFLALQR, control implementation, comparison of IOFLALQR and conventional LQR are adequately studied and discussed. Simulation is completed in MATLAB/Simulink environment and experiment is done on real-time experimental setup. Numerical simulation and experimental results show that the IOFLALQR are implemented on Furuta pendulum successfully. Besides, results have been drawn for demonstrating IOFLALQR better than another classical method.
Keywords: Input-output feedback linearization technique; Furuta pendulum; Linear quadratic regulator; Hybrid control; LQR control.
References
[1] Ahmet K., R. Elagib: “Implementation and Stabilization of a Quadcopter Using Arduino and the Combination of LQR and SMC Methods”, Journal of Engineering Research and Reports, vol. 23, no. 7, pp. 42-58, 2022.
[2] Zhongwei W., Xu X., Xie J., Liu Z., He S.: “Trajectory tracking control considering the transmission backlash of the dual-motor autonomous steering system”, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, p. 09544070231161845, 2023.
[3] Xu Y., Dou K., Wang L., Yang C., Wang K.: “Composite control of flexible manipulators based on SMC-DO and LQR”, in 2020 Chinese Control And Decision Conference (CCDC), Hefei, China, 2020.
[4] Wang S., Jin W.: “A PID-SMC control method with payload anti-swing for 3D overhead crane systems”, in 2022 34th Chinese Control and Decision Conference (CCDC), Hefei, China, 2022.
[5] Zhao Y., Sun X., Wang G., Fan Y.: “Adaptive Backstepping Sliding Mode Tracking Control for Underactuated Unmanned Surface Vehicle With Disturbances and Input Saturation”, IEEE Access, vol. 9, pp. 1304-1312, 2021.
[6] Mahmoodabadi M.J., Soleymani T.: “Optimum fuzzy combination of robust decoupled sliding mode and adaptive feedback linearization controllers for uncertain under-actuated nonlinear systems”, Chinese Journal of Physics, vol. 64, pp. 241-250, 2020.
[7] Berger T., Drücker S., Lanza L., Reis T., Seifried R.: “Tracking control for underactuated non-minimum phase multibody systems”, Nonlinear Dynamics, vol. 104, p. 3671–3699, 2021.
[8] Zhi L., Xin M., Yibin L.: “Robust tracking control strategy for a quadrotor using RPD-SMC and RISE”, Neurocomputing, vol. 331, pp. 312-322, 2019.
[9] Naige W., Cao G.: “Adaptive fuzzy backstepping control of underactuated multi-cable parallel suspension system with tension constraint”, ransactions of the Institute of Measurement and Control , vol. 43, no. 9, pp. 1971-1984, 2021.
[10] Mohammed M.: “Nonlinear state feedback controller combined with RBF for nonlinear underactuated overhead crane system”, Journal of Engineering Research, vol. 9, no. 3A, 2021.
[11] Ba P.D., Kim J., Lee S.G.: “Combined control with sliding mode and partial feedback linearization for a spatial ridable ballbot”, Mechanical Systems and Signal Processing, vol. 128, pp. 531-550, 2019.
[12] Gillen S., Molnar M., Byl K.: “Combining Deep Reinforcement Learning And Local Control For The Acrobot Swing-up And Balance Task”, in 2020 59th IEEE Conference on Decision and Control (CDC), Jeju, Korea (South), 2020.
[13] Nguyen N.P., Oh H., Kim Y., Moon J.: “A nonlinear hybrid controller for swinging-up and stabilizing the rotary inverted pendulum,” Nonlinear Dynamics, vol. 104, p. 1117–1137 , 2021.
[14] Trentin J.F.S., Da Silva S., De S. Ribeiro J.M., Schaub H.: “An experimental study to swing up and control a pendulum with two reaction wheels”, Meccanica, vol. 56, p. 981–990, 2021.
[15] Zeynivand A., Moodi H.: “Swing-up Control of a Double Inverted Pendulum by Combination of Q-Learning and PID Algorithms”, in 2022 8th International Conference on Control, Instrumentation and Automation (ICCIA), Tehran, Iran, Islamic Republic of, 2022.
[16] Katsuhisa F., Yamakita M., Kobayashi S.: “Swing-up control of inverted pendulum using pseudo-state feedback”, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 206, no. 2, pp. 263-269, 1992.
[17] Vo M.T., et al.: “Back-stepping control for rotary inverted pendulum,” JTE, vol. 59, p. 93–101, 2020.
[18] Vo A.K., Nguyen M.T., Tran V.D., Nguyen T.V., Nguyen V.D.H.: “Model and control algorithm construction for rotary inverted pendulum in laboratory”, JTE, vol. 49, p. 32–40, 2018.
[19] Le Q.V., Nguyen M.T., Duong H.N.: “Sliding mode control for rotary inverted pendulum”, JTE, vol. 34, p. 24–29, 2015.
[20] Vo M.T.: “Design of Input-Output Feedback Linearization Control for Rotary Inverted Pendulum System”, JTE, vol. 69, p. 26–35, Apr. 2022.
[21] Nguyễn V.Đ.H., Ngô V.T.: “PID-neuron controller design for rotary inverted pendulum system”, JTE, vol. 23, p. 37–43, 2012.
[22] Kumar A.A., Antoine J.F., Abba G.: “Input-Output Feedback Linearization for the Control of a 4 Cable-Driven Parallel Robot”, IFAC-PapersOnLine, vol. 52, no. 13, pp. 707-712, 2019.
[23] Nghia D.H., Hệ Đ.K., Biến T.Đ.: TPHCM: vnuhcmpress, 2011.
[24] Heri P., Purwanto E.B.: “Design of linear quadratic regulator (LQR) control system for flight stability of LSU-05”, Journal of Physics: Conference Series, vol. 890, no. 1, 2017.
[25] Yang X., Zheng X.: “Swing-Up and Stabilization Control Design for an Underactuated Rotary Inverted Pendulum System: Theory and Experiments”, IEEE Transactions on Industrial Electronics, vol. 65, no. 9, pp. 7229-7238, 2018.
[26] Khalil H.K.: “Lyapunov Stability”, Nonlinear Systems, Upper Saddle River. New Jersey 07458, Prentice-Hall. Inc, pp. 120-132, 1996.