Tuning Rules for Passivity-Based Integral Control for a Class of Mechanical Systems

Authors

Carmen Chan-Zheng, Mauricio Munoz-Arias, Jacquelien M.A. Scherpen

Citation

• Journal: IEEE Control Systems Letters
• Year: 2023
• Volume: 7
• Issue:
• Pages: 37–42
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/lcsys.2022.3186618

BibTeX

@article{Chan_Zheng_2023,
  title={{Tuning Rules for Passivity-Based Integral Control for a Class of Mechanical Systems}},
  volume={7},
  ISSN={2475-1456},
  DOI={10.1109/lcsys.2022.3186618},
  journal={IEEE Control Systems Letters},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Chan-Zheng, Carmen and Munoz-Arias, Mauricio and Scherpen, Jacquelien M.A.},
  year={2023},
  pages={37--42}
}

Download the bib file

References

• van der Schaft, A. L2-Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer International Publishing, 2017). doi:10.1007/978-3-319-49992-5 – 10.1007/978-3-319-49992-5
• Ortega, R., Loría, A., Nicklasson, P. J. & Sira-Ramírez, H. Passivity-Based Control of Euler-Lagrange Systems. Communications and Control Engineering (Springer London, 1998). doi:10.1007/978-1-4471-3603-3 – 10.1007/978-1-4471-3603-3
• Brogliato, B., Maschke, B., Lozano, R. & Egeland, O. Dissipative Systems Analysis and Control. Communications and Control Engineering (Springer London, 2007). doi:10.1007/978-1-84628-517-2 – 10.1007/978-1-84628-517-2
• 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. & García-Canseco, E. Interconnection and Damping Assignment Passivity-Based Control: A Survey. European Journal of Control vol. 10 432–450 (2004) – 10.3166/ejc.10.432-450
• 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
• Dirksz, D. A. & Scherpen, J. M. A. Power-based adaptive and integral control of standard mechanical systems. 49th IEEE Conference on Decision and Control (CDC) 4612–4617 (2010) doi:10.1109/cdc.2010.5717079 – 10.1109/cdc.2010.5717079
• Dirksz, D. A. & Scherpen, J. M. A. Port-Hamiltonian and power-based integral type control of a manipulator system. IFAC Proceedings Volumes vol. 44 13450–13455 (2011) – 10.3182/20110828-6-it-1002.01030
• Donaire, A. & Junco, S. On the addition of integral action to port-controlled Hamiltonian systems. Automatica vol. 45 1910–1916 (2009) – 10.1016/j.automatica.2009.04.006
• Ortega, R. & Romero, J. G. Robust integral control of port-Hamiltonian systems: The case of non-passive outputs with unmatched disturbances. Systems & Control Letters vol. 61 11–17 (2012) – 10.1016/j.sysconle.2011.09.015
• Romero, J. G., Donaire, A. & Ortega, R. Robust energy shaping control of mechanical systems. Systems & Control Letters vol. 62 770–780 (2013) – 10.1016/j.sysconle.2013.05.011
• 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
• Ferguson, J., Donaire, A., Ortega, R. & Middleton, R. H. Matched Disturbance Rejection for a Class of Nonlinear Systems. IEEE Transactions on Automatic Control vol. 65 1710–1715 (2020) – 10.1109/tac.2019.2933398
• Reyes Báez, R. Virtual contraction and passivity based control of nonlinear mechanical systems: trajectory tracking and group coordination. doi:10.33612/diss.96171118 – 10.33612/diss.96171118
• Reyes-Báez, R., van der Schaft, A. & Jayawardhana, B. Virtual contractivity-based control of fully-actuated mechanical systems in the port-Hamiltonian framework. Automatica vol. 141 110275 (2022) – 10.1016/j.automatica.2022.110275
• Stadlmayr, R. & Schlacher, K. Tracking Control for Port-Hamiltonian Systems using Feedforward and Feedback Control and a State Observer. IFAC Proceedings Volumes vol. 41 1833–1838 (2008) – 10.3182/20080706-5-kr-1001.00313
• Sarras, I., Ortega, R. & van der Schaft, A. On the Modeling, Linearization and Energy Shaping Control of Mechanical Systems. IFAC Proceedings Volumes vol. 45 161–166 (2012) – 10.3182/20120829-3-it-4022.00040
• Khalil. Nonlinear Systems (2002)
• Sontag, E. D. & Wang, Y. On characterizations of the input-to-state stability property. Systems & Control Letters vol. 24 351–359 (1995) – 10.1016/0167-6911(94)00050-6
• Chan-Zheng, C., Borja, P., Monshizadeh, N. & Scherpen, J. M. A. Exponential Stability and Tuning for a Class of Mechanical Systems. 2021 European Control Conference (ECC) 1875–1880 (2021) doi:10.23919/ecc54610.2021.9655218 – 10.23919/ecc54610.2021.9655218
• Chan-Zheng, C., Borja, P. & Scherpen, J. M. A. Tuning of Passivity-Based Controllers for Mechanical Systems. IEEE Transactions on Control Systems Technology vol. 31 2515–2530 (2023) – 10.1109/tcst.2023.3260995
• Rijs. Philips Experimental Robot Arm: User Instructor Manual (2010)
• Chan Zheng, C. Tuning rules for energy-based control methods for mechanical systems. doi:10.33612/diss.581245883 – 10.33612/diss.581245883
• Bol. Model Generator for Philips Experimental Robotics Arm (2021)
• 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