Integral sliding mode controller with disturbance estimator for trajectory tracking in a class of electromechanical systems

https://doi.org/10.58571/CNCA.AMCA.2024.019

Resumen: In this work, an alternative is proposed to solve the control problem for trajectory tracking, mainly applied to direct current motors. A discontinuous sliding mode controller is designed that is insensitive to parametric uncertainty and external disturbances, as long as certain conditions are met to avoid the reachability stage. On the other hand, a disturbance estimator is presented which is easy to implement and helps us to decrease the amplitude of the gain of the discontinuous term of the controller. Numerical simulations support the theoretical results, demonstrating a good performance of the proposed controller.

¿Cómo citar?

Rascón Carmona, R., Valenzuela Hanon, V.M., Colado Basilio, F.J., Moreno Ahedo, L.O. & Moreno Valenzuela, E.J. (2024). Integral sliding mode controller with disturbance estimator for trajectory tracking in a class of electromechanical systems. Memorias del Congreso Nacional de Control Automático 2024, pp. 108-113. https://doi.org/10.58571/CNCA.AMCA.2024.019

Palabras clave

Trajectory tracking, sliding mode control, switched systems control, design of nonlinear filters and observers

• Basin, M., Rodriguez-Gonzalez, J., Fridman, L., and Acosta, P. (2005). Integral sliding mode design for robust filtering and control of linear stochastic time-delay systems. International Journal of Robust and Nonlinear Control: IFAC-Affiliated Journal, 15(9), 407–421.
• Coban, R. (2017). Backstepping sliding mode tracking controller design and experimental application to an electromechanical system. Journal of Control Engineering and Applied Informatics, 19(3), 88–96.
• Eker, I. (2006). Sliding mode control with pid sliding surface and experimental application to an electromechanical plant. ISA transactions, 45(1), 109–118.
• Gambhire, S., Kishore, D.R., Londhe, P., and Pawar, S. (2021). Review of sliding mode based control techniques for control system applications. International Journal of dynamics and control, 9(1), 363–378.
• Jafari, M., Mobayen, S., Roth, H., and Bayat, F. (2022). Nonsingular terminal sliding mode control for microelectro-mechanical gyroscope based on disturbance observer: Linear matrix inequality approach. Journal of Vibration and Control, 28(9-10), 1126–1134.
• Kelly, R., Santibáñez, V., and Loría, A. (2005). Control of robot manipulators in joint space, volume 693. Springer.
• Levant, A. (1998). Robust exact differentiation via sliding mode technique. automatica, 34(3), 379–384.
• Murtaza, G. and Bhatti, A. (2012). Control of dc motors using sliding mode. In Proceedings of 2012 9th International Bhurban Conference on Applied Sciences & Technology (IBCAST), 37–42. IEEE.
• Norsahperi, N. and Danapalasingam, K. (2020). An improved optimal integral sliding mode control for uncertain robotic manipulators with reduced tracking error, chattering, and energy consumption. Mechanical Systems and Signal Processing, 142, 106747.
• Pan, Y., Yang, C., Pan, L., and Yu, H. (2017). Integral sliding mode control: performance, modification, and improvement. IEEE Transactions on Industrial Informatics, 14(7), 3087–3096.
• Shtessel, Y., Edwards, C., Fridman, L., Levant, A., et al. (2014). Sliding mode control and observation, volume 10. Springer.
• Sinekli, E.S. and Coban, R. (2017). Dynamic integral sliding mode control of an electromechanical system. In 2017 International Conference on Mechanical, System and Control Engineering (ICMSC), 160–164. IEEE.
• Tseng, M.L. and Chen, M.S. (2010). Chattering reduction of sliding mode control by low-pass filtering the control signal. Asian Journal of control, 12(3), 392–398.
• Utkin, V. and Lee, H. (2006). Chattering problem in sliding mode control systems. In International Workshop on Variable Structure Systems, 2006. VSS’06., 346–350. doi:10.1109/VSS.2006.1644542.
• Utkin, V., Guldner, J., and Shi, J. (2017). Sliding mode control in electro-mechanical systems. CRC press.
• Wang, K., Hua, C., Chen, J., and Cai, M. (2020). Dual loop integral sliding mode control for robust trajectory tracking of a quadrotor. International Journal of Systems Science, 51(2), 203–216.
• Wei, Y., Zheng, Z., Li, Q., Jiang, Z., and Yang, P. (2020). Robust tracking control of an underwater vehicle and manipulator system based on double closed loop integral sliding mode. International Journal of Advanced Robotic Systems, 17(4), 1729881420941778.
• Xu, Y., Li, S., and Zou, J. (2022). Integral sliding mode control based deadbeat predictive current control for pmsm drives with disturbance rejection. IEEE Transactions on Power Electronics, 37(3), 2845–2856. doi:10.1109/TPEL.2021.3115875.