An energy based approach for the control of a micro-robotic contact scenario
Authors
Hector Ramirez, Bilal Komati, Yann Le Gorrec, Cédric Clévy
Abstract
Energy based approaches have proven to be specially well suited for the modeling and control of mechanical systems. Among these approaches the port-Hamiltonian framework presents interesting properties for the structural modeling of complex systems and for the design of non-linear controllers using passivity In this paper we use this framework to model a typical micro-robotic contact scenario and to propose a simple but effective globally stabilizing controller. The model and the controller take into account the transitions from a non-contact to a contact state (and the inverse) by the introduction of a non-linear (switching) contact element. A one degree of freedom experimental micro-robotic setup is used to test and illustrate the results.
Keywords
Passivity based control; port-Hamiltonian systems; non-linear control; micro-mechatronics
Citation
- Journal: IFAC-PapersOnLine
- Year: 2016
- Volume: 49
- Issue: 18
- Pages: 945–950
- Publisher: Elsevier BV
- DOI: 10.1016/j.ifacol.2016.10.289
- Note: 10th IFAC Symposium on Nonlinear Control Systems NOLCOS 2016- Monterey, California, USA, 23—25 August 2016
BibTeX
@article{Ramirez_2016,
title={{An energy based approach for the control of a micro-robotic contact scenario}},
volume={49},
ISSN={2405-8963},
DOI={10.1016/j.ifacol.2016.10.289},
number={18},
journal={IFAC-PapersOnLine},
publisher={Elsevier BV},
author={Ramirez, Hector and Komati, Bilal and Le Gorrec, Yann and Clévy, Cédric},
year={2016},
pages={945--950}
}
References
- Batlle, C., Dòria‐Cerezo, A. & Fossas, E. Bidirectional power flow control of a power converter using passive Hamiltonian techniques. International Journal of Circuit Theory and Applications vol. 36 769–788 (2007) – 10.1002/cta.459
- Boudaoud, M., Haddab, Y. & Le Gorrec, Y. Modeling and Optimal Force Control of a Nonlinear Electrostatic Microgripper. IEEE/ASME Transactions on Mechatronics vol. 18 1130–1139 (2013) – 10.1109/tmech.2012.2197216
- Carloni, A hybrid control strategy for robust contact detection and force regulation. American Control Conference (2007)
- Clévy, (2011)
- Derjaguin, B. V., Muller, V. M. & Toporov, Yu. P. Effect of contact deformations on the adhesion of particles. Journal of Colloid and Interface Science vol. 53 314–326 (1975) – 10.1016/0021-9797(75)90018-1
- Gilardi, G. & Sharf, I. Literature survey of contact dynamics modelling. Mechanism and Machine Theory vol. 37 1213–1239 (2002) – 10.1016/s0094-114x(02)00045-9
- Hertz, On the contact of solids - on the contact of rigid elastic solids and on hardness. In: Miscellaneous Papers (Translated by D.E. Jones and G.A. Schott), Macmillan and Co. (1896)
- Hunt, K. H. & Crossley, F. R. E. Coefficient of Restitution Interpreted as Damping in Vibroimpact. Journal of Applied Mechanics vol. 42 440–445 (1975) – 10.1115/1.3423596
- Johnson, (1987)
- Khulief, Y. A. & Shabana, A. A. A continuous force model for the impact analysis of flexible multibody systems. Mechanism and Machine Theory vol. 22 213–224 (1987) – 10.1016/0094-114x(87)90004-8
- Komati, B., Rabenorosoa, K., Clevy, C. & Lutz, P. Automated Guiding Task of a Flexible Micropart Using a Two-Sensing-Finger Microgripper. IEEE Transactions on Automation Science and Engineering vol. 10 515–524 (2013) – 10.1109/tase.2013.2241761
- Marhefka, D. W. & Orin, D. E. A compliant contact model with nonlinear damping for simulation of robotic systems. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans vol. 29 566–572 (1999) – 10.1109/3468.798060
- Maschke, B. M. & van der Schaft, A. J. Port-Controlled Hamiltonian Systems: Modelling Origins and Systemtheoretic Properties. IFAC Proceedings Volumes vol. 25 359–365 (1992) – 10.1016/s1474-6670(17)52308-3
- Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica vol. 38 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
- Putting energy back in control. IEEE Control Systems vol. 21 18–33 (2001) – 10.1109/37.915398
- van der Schaft, A. L2 - Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer London, 2000). doi:10.1007/978-1-4471-0507-7 – 10.1007/978-1-4471-0507-7
- Willems, J. C. Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis vol. 45 321–351 (1972) – 10.1007/bf00276493
- Xu, Q. Robust Impedance Control of a Compliant Microgripper for High-Speed Position/Force Regulation. IEEE Transactions on Industrial Electronics vol. 62 1201–1209 (2015) – 10.1109/tie.2014.2352605