IDA-PBC with Dynamic Extension for Momenta Observation of Underactuated Mechanical Systems
Authors
Abstract
This work investigates the passivity-based control of a class of underactuated mechanical systems for which the momenta are not measurable. To this end, a port-Hamiltonian formulation and a passivity-based control approach are employed. The main contribution is a new dynamic extension of the interconnection-and-damping assignment passivity-based control that only depends on the generalized position. Numerical simulations on an Acrobot system demonstrate that the proposed approach allows stabilizing the prescribed equilibrium by relying only on position feedback.
Citation
- Journal: 2024 IEEE Conference on Control Technology and Applications (CCTA)
- Year: 2024
- Volume:
- Issue:
- Pages: 126–131
- Publisher: IEEE
- DOI: 10.1109/ccta60707.2024.10666616
BibTeX
@inproceedings{Franco_2024,
title={{IDA-PBC with Dynamic Extension for Momenta Observation of Underactuated Mechanical Systems}},
DOI={10.1109/ccta60707.2024.10666616},
booktitle={{2024 IEEE Conference on Control Technology and Applications (CCTA)}},
publisher={IEEE},
author={Franco, Enrico and Ryalat, Mutaz},
year={2024},
pages={126--131}
}
References
- Ortega, R., Spong, M. W., Gomez-Estern, F. & Blankenstein, G. Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Transactions on Automatic Control vol. 47 1218–1233 (2002) – 10.1109/tac.2002.800770
- Nunna, K., Sassano, M. & Astolfi, A. Constructive Interconnection and Damping Assignment for Port-Controlled Hamiltonian Systems. IEEE Transactions on Automatic Control vol. 60 2350–2361 (2015) – 10.1109/tac.2015.2400663
- Franco, E. & Astolfi, A. Energy shaping control of underactuated mechanical systems with fluidic actuation. International Journal of Robust and Nonlinear Control vol. 32 10011–10028 (2022) – 10.1002/rnc.6345
- Franco, E. & Astolfi, A. Energy shaping control of a class of underactuated mechanical systems with high-order actuator dynamics. European Journal of Control vol. 72 100828 (2023) – 10.1016/j.ejcon.2023.100828
- Donaire, A., Romero, J. G., Ortega, R., Siciliano, B. & Crespo, M. Robust IDA-PBC for underactuated mechanical systems subject to matched disturbances. International Journal of Robust and Nonlinear Control vol. 27 1000–1016 (2016) – 10.1002/rnc.3615
- Ferguson, J., Donaire, A. & Middleton, R. H. Integral Control of Port-Hamiltonian Systems: Nonpassive Outputs Without Coordinate Transformation. IEEE Transactions on Automatic Control vol. 62 5947–5953 (2017) – 10.1109/tac.2017.2700995
- Ryalat, M. & Laila, D. S. A Robust IDA-PBC Approach for Handling Uncertainties in Underactuated Mechanical Systems. IEEE Transactions on Automatic Control vol. 63 3495–3502 (2018) – 10.1109/tac.2018.2797191
- Ryalat, M., Laila, D. S., ElMoaqet, H. & Almtireen, N. Dynamic IDA-PBC control for weakly-coupled electromechanical systems. Automatica vol. 115 108880 (2020) – 10.1016/j.automatica.2020.108880
- Ryalat, M., Laila, D. S. & ElMoaqet, H. Adaptive Interconnection and Damping Assignment Passivity Based Control for Underactuated Mechanical Systems. International Journal of Control, Automation and Systems vol. 19 864–877 (2020) – 10.1007/s12555-019-1019-z
- Borja, P., Ortega, R. & Scherpen, J. M. A. New Results on Stabilization of Port-Hamiltonian Systems via PID Passivity-Based Control. IEEE Transactions on Automatic Control vol. 66 625–636 (2021) – 10.1109/tac.2020.2986731
- Ortega, R., Romero, J. G., Borja, P. & Donaire, A. PID Passivity‐Based Control of Nonlinear Systems with Applications. (2021) doi:10.1002/9781119694199 – 10.1002/9781119694199
- Franco, E. Integral passivity‐based control of underactuated mechanical systems with actuator dynamics and constant disturbances. International Journal of Robust and Nonlinear Control vol. 33 10024–10045 (2023) – 10.1002/rnc.6885
- Franco, E., Arpenti, P. & Donaire, A. Integral passivity‐based control of underactuated mechanical systems with state‐dependent matched disturbances. International Journal of Robust and Nonlinear Control vol. 34 3565–3585 (2023) – 10.1002/rnc.7151
- Venkatraman, A., Ortega, R., Sarras, I. & van der Schaft, A. Speed Observation and Position Feedback Stabilization of Partially Linearizable Mechanical Systems. IEEE Transactions on Automatic Control vol. 55 1059–1074 (2010) – 10.1109/tac.2010.2042010
- Astolfi, A., Ortega, R. & Venkatraman, A. A globally exponentially convergent immersion and invariance speed observer for mechanical systems with non-holonomic constraints. Automatica vol. 46 182–189 (2010) – 10.1016/j.automatica.2009.10.027
- Ferguson, J., Donaire, A. & Middleton, R. H. Passive momentum observer for mechanical systems. IFAC-PapersOnLine vol. 54 131–136 (2021) – 10.1016/j.ifacol.2021.11.067
- Ferguson, J. & McLean, K. Passive momentum observer for nonholonomic systems. IFAC-PapersOnLine vol. 56 373–378 (2023) – 10.1016/j.ifacol.2023.02.063
- Khalil. Nonlinear systems (2002)
- Gómez-Estern, F. & Van der Schaft, A. J. Physical Damping in IDA-PBC Controlled Underactuated Mechanical Systems. European Journal of Control vol. 10 451–468 (2004) – 10.3166/ejc.10.451-468
- D. Mahindrakar, A., Astolfi, A., Ortega, R. & Viola, G. Further constructive results on interconnection and damping assignment control of mechanical systems: the Acrobot example. International Journal of Robust and Nonlinear Control vol. 16 671–685 (2006) – 10.1002/rnc.1088