Robust Control for Joint Position Regulation of the Inertial Wheel Pendulum Affected by Constant Torque Disturbances

https://doi.org/10.58571/CNCA.AMCA.2024.086

Resumen: This paper presents the design of a robust controller for joint position regulation of the inertial wheel pendulum. The proposed controller for this underactuated mechanical system affected by an unknown constant disturbance was designed using an interesting energy shaping approach. The unknown disturbance is estimated via a nonlinear observer, and the stability analysis is based on Lyapunov’s theory. Numerical simulations on the inertia wheel pendulum model illustrate the performance of the proposed controller.

¿Cómo citar?

Cota, S., Sandoval, J., Moreno Valenzuela, J., Santibanez, V. & Cervantes Pérez, L. (2024). Robust Control for Joint Position Regulation of the Inertial Wheel Pendulum Affected by Constant Torque Disturbances. Memorias del Congreso Nacional de Control Automático 2024, pp. 505-510. https://doi.org/10.58571/CNCA.AMCA.2024.086

Palabras clave

Energy shaping approach, robust control, Lyapunov theory, disturbances, nonlinear observer

• Afkhami, S., Yazdanpanah, M., and Maralani, P. (2003). Stabilization of inertia wheel pendulum using output feedback back-stepping. In Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003., volume 2, 977–982. IEEE.
• Alqudsi, Y.S., Dorrah, H.T., Kassem, A.H., and El-Bayoumi, G.M. (2022). Robust compound control for wheeled inverted pendulum in an uncertain and disturbed environment. Engineering Science and Technology, an International Journal, 28, 101024.
• Aminsafaee, M. and Shafiei, M.H. (2020). A robust approach to stabilization of 2-dof underactuated mechanical systems. Robotica, 38(12), 2221–2238.
• Aneke, N.P.I. (2003). Control of underactuated mechanical systems.
• Block, D.J., Åström, K.J., and Spong, M.W. (2007). The reaction wheel pendulum. 1. Morgan & Claypool Publishers.
• Donaire, A., Romero, J.G., Ortega, R., Siciliano, B., and Crespo, M. (2017). Robust ida-pbc for underactuated mechanical systems subject to matched disturbances. International Journal of Robust and Nonlinear Control, 27(6), 1000–1016.
• Gandarilla, I., Santibáñez, V., Sandoval, J., and Romero, J.G. (2021). Pid passivity-based control laws for joint position regulation of a self-balancing robot. Control Engineering Practice, 116.
• Hfaiedh, A., Chemori, A., and Abdelkrim, A. (2020). Stabilization of the inertia wheel inverted pendulum by advanced ida-pbc based controllers: Comparative study and real-time experiments. In 2020 17th International Multi-Conference on Systems, Signals & Devices (SSD), 753–760. IEEE.
• Moreno-Valenzuela, J. and Aguilar-Avelar, C. (2018). Motion control of underactuated mechanical systems, volumen 1. Springer.
• Ortega, R., Spong, M.W., Gomez-Estern, F., and Blankenstein, G. (2002). Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Transactions on Automatic Control, 47(8), 1218–1233.
• Perrusquia, A. and Yu, W. (2020). Robust control under worst-case uncertainty for unknown nonlinear systems using modified reinforcement learning. International Journal of Robust and Nonlinear Control, 30(7), 2920–2936.
• Sandoval, J., Cervantes-Pérez, L., Santibáñez, V., Moreno-Valenzuela, J., and Kelly, R. (2024). A ges joint position trajectory tracking smooth controller of torquedriven robot manipulators affected by disturbances. International Journal of Robust and Nonlinear Control, 34(2), 1032–1053.
• Sandoval, J., Kelly, R., Santibáñez, V., and Moreno-Valenzuela, J. (2020). A speed regulator for a torquedriven inertia wheel pendulum. IFAC-PapersOnLine, 53(2), 6293–6298.
• Sandoval, J., Kelly, R., Santibáñez, V., and Villalobos- Chin, J. (2022). Energy regulation of torque–driven robot manipulators in joint space. Journal of the Franklin Institute, 359, 1427–1456.
• Spong, M.W. (2005). Underactuated mechanical systems. In Control problems in robotics and automation, 135–150. Springer.