A robust input-to-state energy-shaping based controller of torque-driven robot manipulators

Keywords: Hamiltonian systems, robot manipulators, stability, tracking, robust

Abstract

This paper presents a robust joint position trajectory tracking controller of torque-driven robot manipulators affected by time-varying disturbances. The main contribution of the present work is the design, analysis and experimentation of a robust control law based on an energy shaping approach. The performance of the proposed controller is demonstrated through experiments on a two degree-of-freedom robot manipulator.

Downloads

Download data is not yet available.

References

Astolfi, A., Karagiannis, D., and Ortega, R. (2008). Nonlinear and adaptive control with applications, volume 187. Springer.

Campa, R., Kelly, R., and Santibanez, V. (2004). Windows-based real-time control of direct-drive mechanisms: platform description and experiments. Mechatronics, 14(9):1021–1036.

Cervantes, L., Santibáñez, V., and Sandoval, J. (2022a). New energy-shaping based control plus an integral action for torque-driven robot manipulators using coordinate changes. Memorias del Congreso Nacional de Control Automático.

Cervantes, L., Santibáñez, V., and Sandoval, J. (2022b). Nuevo control basado en moldeo de energía mas una acción integral para robots manipuladores accionados por par sin cambio de coordenadas. Memorias del Congreso Mexicano de Robótica.

Donaire, A. and Junco, S. (2009). On the addition of integral action to portcontrolled hamiltonian systems. Automatica, 45(8):1910–1916.

Ferguson, J., Donaire, A., and Middleton, R. H. (2017). Integral control of port-hamiltonian systems: Nonpassive outputs without coordinate transformation. IEEE Transactions on Automatic Control, 62(11):5947–5953.

Kelly, R., Davila, V. S., and Perez, J. A. L. (2005). Control of robot manipulators in joint space. Springer Science & Business Media.

Kelly, R., Sandoval, J., and Santibáñez, V. (2020). A guas joint position tracking controller of torque-driven robot manipulators influenced by dynamic dahl friction: Theory and experiments. IEEE Transactions on Control Systems Technology, 29(5):1877–1890.

Kelly, R. and Santibáñez, V. (2003). Control de movimiento de robots manipuladores. Pearson Educación.

Khalil, H. K. (2001). Control of nonlinear systems.

Ortega, R., Loria, A., Nicklasson, P. J., Sira-Ramirez, H., Ortega, R., Loría, A., Nicklasson, P. J., and Sira-Ramírez, H. (1998). Euler-Lagrange systems. Springer.

Ortega, R., Romero, J. G., Borja, P., and Donaire, A. (2021). PID Passivity Based Control of Nonlinear Systems with Applications. John Wiley & Sons.

Ortega, R., Spong, M. W., Gómez-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.

Reyes, F. and Kelly, R. (1997). Experimental evaluation of identification schemes on a direct drive robot. Robotica, 15(5):563–571.

Reyes, F. and Kelly, R. (2001). Experimental evaluation of model-based controllers on a direct-drive robot arm. Mechatronics, 11(3):267–282.

Romero, J. G., Donaire, A., and Ortega, R. (2013). Robust energy shaping control of mechanical systems. Systems & Control Letters, 62(9):770–780.

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(4):1427–1456.

Sontag, E. D. et al. (1989). Smooth stabilization implies coprime factorization. IEEE transactions on automatic control, 34(4):435–443.

Sontag, E. D. and Wang, Y. (1995). On characterizations of the input-to-state stability property. Systems & Control Letters, 24(5):351–359.

Published
2024-04-22
How to Cite
Cervantes-Pérez, L. E., Santibáñez-Dávila, V. A., & Sandoval-Galarza, J. A. (2024). A robust input-to-state energy-shaping based controller of torque-driven robot manipulators. Pädi Boletín Científico De Ciencias Básicas E Ingenierías Del ICBI, 12(Especial2), 59-66. https://doi.org/10.29057/icbi.v12iEspecial2.12266