Second order sliding mode control based on extended state observer for double pendulum overhead cranes
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https://doi.org/10.54939/1859-1043.j.mst.FEE.2024.99-105Keywords:
Double-pendulum Overhead cranes; Second order Sliding Mode Controller; Extended State Observer.Abstract
This study proposes a second order sliding mode controller based on an extended state observer for a 3D crane system with a double pendulum effect and constant rope length. A second order sliding mode controller requires an accurate model of the system's parameters. However, in practice, model parameters and external disturbances are difficult to determine in detail. Therefore, the extended state observer is designed to estimate the system state variables and the total disturbance. Finally, a sliding mode controller is developed with the signals taken from the observer. The proposed controller ensures stability according to Lyapunov function. Simulation results show that the proposed method ensures that the trolleys reach the desired trajectory while minimizing vibration even in the presence of disturbances and uncertain components.
References
[1]. Li, Hui, et al. "Design of anti-swing PID controller for bridge crane based on PSO and SA algorithm." Electronics 11.19: 3143, (2022). DOI: https://doi.org/10.3390/electronics11193143
[2]. Maghsoudi, Mohammad Javad, et al. "An improved input shaping design for an efficient sway control of a nonlinear 3D overhead crane with friction." Mechanical Systems and Signal Processing 92: 364-378, (2017). DOI: https://doi.org/10.1016/j.ymssp.2017.01.036
[3]. Cuong, Hoang Manh, and Soon-Geul Lee. "Second-order sliding mode control of 3D overhead cranes." 2013 International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, (2013).
[4]. Sun, Zhe, et al. "Designing and application of type-2 fuzzy PID control for overhead crane systems." International Journal of Intelligent Robotics and Applications 5: 10-22, (2021). DOI: https://doi.org/10.1007/s41315-020-00157-w
[5]. Milovanović, Miroslav B., et al. "Adaptive PID control based on orthogonal endocrine neural networks." Neural Networks 84: 80-90, (2016). DOI: https://doi.org/10.1016/j.neunet.2016.08.012
[6]. Shi, Lanting, et al. "Sliding Mode Control of Overhead Crane Based on High Gain Observer." 2022 IEEE 5th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC). Vol. 5. IEEE, (2022). DOI: https://doi.org/10.1109/IMCEC55388.2022.10019846
[7]. Ouyang, Huimin, Bingqing Zhao, and Guangming Zhang. "Swing reduction for double‐pendulum three‐dimensional overhead cranes using energy‐analysis‐based control method." International Journal of Robust and Nonlinear Control 31.9: 4184-4202, (2021). DOI: https://doi.org/10.1002/rnc.5466
[8]. Guo, Bao-Zhu, and Zhi-liang Zhao. "On the convergence of an extended state observer for nonlinear systems with uncertainty." Systems & Control Letters 60.6: 420-430, (2011). DOI: https://doi.org/10.1016/j.sysconle.2011.03.008