Trajectories Tracking Control for Rotary Inverted Pendulum using Backstepping Method
DOI:
https://doi.org/10.59247/jfsc.v3i1.276Keywords:
Rotary Inverted Pendulum, STM32F4, Back-stepping ControlAbstract
Rotary inverted pendulum (RIP) is a fundamental yet challenging benchmark system in control engineering due to its nonlinear dynamics, instability, and underactuated nature. This study addresses the problem of trajectory tracking control for RIP, which is critical for ensuring system stability and accurate motion control in various engineering applications. Simulation results demonstrate that the backstepping approach achieves superior performance in terms of tracking accuracy, robustness, and convergence speed compared to traditional methods. The findings emphasize the effectiveness of backstepping in addressing control challenges in nonlinear systems, offering insights for future research in both theoretical advancements and real-world applications.
References
Đ. V. Chí, et al., “Application of Backstepping Algorithm for Stabilizing the Pendubot System: Simulation and Experimentation," Electronic Journal of Science and Technology in Transportation, pp. 27-37, 2023, https://doi.org/10.58845/jstt.utt.2023.vn.3.4.27-37.
J. Huang et al., "Control of rotary inverted pendulum using model-free backstepping technique," IEEE Access, vol. 7, pp. 96965-96973, 2019, https://doi.org/10.1109/ACCESS.2019.2930220.
Y.-S. Lu et al., "An improved backstepping design for the control of an underactuated inverted pendulum," Journal of Mechanical Science and Technology, vol. 27, pp. 865-873, 2013. https://doi.org/10.1016/B978-0-12-817582-8.00008-8.
J. Zhou et al., Adaptive backstepping control. Springer. 2008. https://doi.org/10.1007/s12206-013-0203-y.
L. E. Ramos-Velasco et al., "Rotary inverted pendulum: Trajectory tracking via nonlinear control techniques," Kybernetika, vol. 38, pp. 217-232, 2002 https://doi.org/10.1016/0167-6911(94)00039-X | MR 1325676.
A. Jabbar et al., "Nonlinear stabilizing control of a rotary double inverted pendulum: a modified backstepping approach," Transactions of the Institute of Measurement and Control, vol. 39, pp. 1721-1734, 2017, https://doi.org/10.1177/0142331216645174.
M. T. Vo, et al., "Back-stepping control for rotary inverted pendulum," Journal of Technical Education Science, vol. 15, pp. 93-101, 2020, https://jte.edu.vn/index.php/jte/article/view/110.
N. Gupta and L. Dewan, "Modeling and simulation of rotary-rotary planer inverted pendulum," in Journal of Physics: Conference Series, p. 012089, 2019, https://doi.org/10.1088/1742-6596/1240/1/012089.
V. Sukontanakarn and M. Parnichkun, "Real-time optimal control for rotary inverted pendulum," American journal of applied sciences, vol. 6, p. 1106, 2009, https://doi.org/10.1016/j.aej.2013.11.006.
P.-L. Nguyen et al., "Adaptive Evaluation of LQR Control using Particle Swarm Optimization for Pendubot," Journal of Fuzzy Systems and Control, vol. 2, pp. 58-66, 2024, https://doi.org/10.59247/jfsc.v2i2.203.
A. de Carvalho Junior et al., "Model reference control by recurrent neural network built with paraconsistent neurons for trajectory tracking of a rotary inverted pendulum," Applied Soft Computing, vol. 133, p. 109927, 2023, https://doi.org/10.1016/j.asoc.2022.109927.
I. M. Mehedi et al., "Underactuated rotary inverted pendulum control using robust generalized dynamic inversion," Journal of Vibration and Control, vol. 26, pp. 2210-2220, 2020, https://doi.org/10.1177/1077546320916022.
K. Singh, S. Nema and P. K. Padhy, "Modified PSO based PID sliding mode control for inverted pendulum," 2014 International Conference on Control, Instrumentation, Communication and Computational Technologies (ICCICCT), pp. 722-727, 2014, https://doi.org/10.1109/ICCICCT.2014.6993054.
M. F. Hamza et al., "Current development on using Rotary Inverted Pendulum as a benchmark for testing linear and nonlinear control algorithms," Mechanical Systems and Signal Processing, vol. 116, pp. 347-369, 2019, https://doi.org/10.1016/j.ymssp.2018.06.054.
S. Vaidyanathan and A. T. Azar, "An introduction to backstepping control," in Backstepping Control of Nonlinear Dynamical Systems, pp. 1-32, 2021, https://doi.org/10.1016/B978-0-12-817582-8.00008-8.
A. Stotsky et al., "The use of sliding modes to simplify the backstepping control method," in Proceedings of the 1997 American Control Conference (Cat. No. 97CH36041), pp. 1703-1708, 1997. https://doi.org/10.58845/jstt.utt.2023.vn.3.4.27-37.
N.-C. Tran et al., "LQR Control for Experimental Double Rotary Inverted Pendulum," Journal of Fuzzy Systems and Control, vol. 2, pp. 104-108, 2024, https://doi.org/10.59247/jfsc.v2i2.212.
A. U. Darajat et al., "Trajectory Tracking Control of Four Omni-wheels Robot using PID and Pole Placement State Feedback Controller for Telepresence Robot Applications," International Conference on Advanced Mechatronics, Intelligent Manufacture and Industrial Automation (ICAMIMIA), pp. 336-340, 2023, https://doi.org/10.1109/ICAMIMIA60881.2023.10427669.

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Copyright (c) 2024 Ha-Gia-Bao Pham, Huy-Khai Nguyen, Tran-Quoc-Tuan Nguyen, Van-Dong-Hai Nguyen, Ngoc-Quy Dao, Van-Quy-Hai Ngo , Thanh-Son Tran, Hien-Dat Phan, Gia-Huy Chu, Hoang-Tien-Phat Huynh

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