Passivity-based control of mechanical systems with linear damping identification
Authors
Carmen Chan-Zheng, Pablo Borja, Jacquelien M.A. Scherpen
Abstract
We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique for linear viscous damping identification to improve the accuracy of the selected control technique, and (ii) we implement a passivity-based controller to stabilize and reduce the oscillations by selecting the control parameters properly in accordance with the identified damping. Moreover, we provide theoretical analysis for a particular passivity-based control approach on its effectiveness for reducing such oscillations. Also, we validate the methodology by implementing it experimentally in a planar manipulator.
Keywords
identification; control methods; design methodologies; robots manipulators; tuning; port-Hamiltonian; energy-based method; PID control; oscillations
Citation
- Journal: IFAC-PapersOnLine
- Year: 2021
- Volume: 54
- Issue: 19
- Pages: 255–260
- Publisher: Elsevier BV
- DOI: 10.1016/j.ifacol.2021.11.087
- Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021
BibTeX
@article{Chan_Zheng_2021,
title={{Passivity-based control of mechanical systems with linear damping identification}},
volume={54},
ISSN={2405-8963},
DOI={10.1016/j.ifacol.2021.11.087},
number={19},
journal={IFAC-PapersOnLine},
publisher={Elsevier BV},
author={Chan-Zheng, Carmen and Borja, Pablo and Scherpen, Jacquelien M.A.},
year={2021},
pages={255--260}
}References
- ADHIKARI S, WOODHOUSE J (2001) IDENTIFICATION OF DAMPING: PART 1, VISCOUS DAMPING. Journal of Sound and Vibration 243(1):43–61. https://doi.org/10.1006/jsvi.2000.3391 – 10.1006/jsvi.2000.3391
- Borja, New results on stabilization of port-Hamiltonian systems via PID passivity-based control. IEEE Transactions on Automatic Control (2020)
- Chan-Zheng C, Borja P, Monshizadeh N, Scherpen JMA (2021) Exponential Stability and Tuning for a Class of Mechanical Systems. In: 2021 European Control Conference (ECC). IEEE, pp 1875–1880 – 10.23919/ecc54610.2021.9655218
- Chan-Zheng, Tuning rules for a class of passivity-based controllers for mechanical systems. IEEE Control Systems Letters (2020)
- Dirksz DA, Scherpen JMA (2013) Tuning of dynamic feedback control for nonlinear mechanical systems. In: 2013 European Control Conference (ECC). IEEE, pp 173–178 – 10.23919/ecc.2013.6669346
- Duindam, (2009)
- Hamada K, Borja P, Scherpen JMA, Fujimoto K, Maruta I (2021) Passivity-Based Lag-Compensators With Input Saturation for Mechanical Port-Hamiltonian Systems Without Velocity Measurements. IEEE Control Syst Lett 5(4):1285–1290. https://doi.org/10.1109/lcsys.2020.3032890 – 10.1109/lcsys.2020.3032890
- Horn, (2012)
- Keppler M, Lakatos D, Ott C, Albu-Schaffer A (2016) A passivity-based controller for motion tracking and damping assignment for compliantly actuated robots. In: 2016 IEEE 55th Conference on Decision and Control (CDC). IEEE, pp 1521–1528 – 10.1109/cdc.2016.7798482
- Liang J-W (2007) Damping estimation via energy-dissipation method. Journal of Sound and Vibration 307(1-2):349–364. https://doi.org/10.1016/j.jsv.2007.07.013 – 10.1016/j.jsv.2007.07.013
- Miranda-Colorado R, Moreno-Valenzuela J (2017) Experimental parameter identification of flexible joint robot manipulators. Robotica 36(3):313–332. https://doi.org/10.1017/s0263574717000224 – 10.1017/s0263574717000224
- Ortega, (2013)
- Quanser (2013). 2 DOF Serial Flexible Joint, Reference Manual. Doc. No. 800, Rev 1.
- Wesselink TC, Borja P, Scherpen JMA (2019) Saturated control without velocity measurements for planar robots with flexible joints. In: 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, pp 7093–7098 – 10.1109/cdc40024.2019.9029741
- Woolsey C, Reddy CK, Bloch AM, Chang DE, Leonard NE, Marsden JE (2004) Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation. European Journal of Control 10(5):478–496. https://doi.org/10.3166/ejc.10.478-496 – 10.3166/ejc.10.478-496
- Zhang M, Borja P, Ortega R, Liu Z, Su H (2018) PID Passivity-Based Control of Port-Hamiltonian Systems. IEEE Trans Automat Contr 63(4):1032–1044. https://doi.org/10.1109/tac.2017.2732283 – 10.1109/tac.2017.2732283