Abstract
The ability to reason about and predict the outcome of contacts is paramount to the successful execution of many robot tasks. Analytical rigid-body contact models are used extensively in planning and control due to their computational efficiency and simplicity, yet despite their prevalence, little if any empirical comparison of these models has been made and it is unclear how well they approximate contact outcomes. In this paper, we first formulate a system identification approach for six commonly used contact models in the literature, and use the proposed method to find parameters for an experimental data-set of impacts. Next, we compare the models empirically, and establish a task specific upper bound on the performance of the models and the rigid-body contact model paradigm. We highlight the limitations of these models, salient failure modes, and the care that should be taken in parameter selection, which are ultimately difficult to give a physical interpretation.
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References
Anitescu, M., Potra, F.A.: Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Nonlinear Dyn. 14, 231–247 (1997)
Chatterjee, A., Ruina, A.: A new algebraic rigid body collision law based on impulse space considerations. ASME J. Appl. Mech. 65(4), 939–951 (1998)
Chavan Dafle, N., Rodriguez, A .: Prehensile pushing: in-hand manipulation with push-primitives. In: IEEE/RSJ International Conference on Intelligent Robots Systems (IROS), pp. 6215 – 6222 (2015)
Drumwright, E., Shell, D.A.: Modeling contact friction and joint friction in dynamic robotic simulation using the principle of maximum dissipation. In: Proceedings of Workshop on the Algorithmic Foundations of Robotics (WAFR), pp. 249–266. Springer, Berlin (2010)
Fazeli, N., Tedrake, R., Rodriguez, A.: Identifiability analysis of planart rigid-body frictional contact. In: International Symposium Robotics Research (ISRR), pp. 665–682. Springer, Cham (2016)
Fazeli, N., Donlon, E., Drumwright, E., Rodriguez, A.: Empirical evaluation of common contact models for planar impact. In: 2017 IEEE International Conference on Robotics and Automation (ICRA), pp. 3418–3425 (2017)
Fazeli, N., Kolbert, R., Tedrake, R., Rodriguez, A.: Parameter and contact force estimation of planar rigid-bodies undergoing frictional contact. Int. J. Robot. Res. 36(13–14), 1437–1454 (2017)
Fazeli, N., Zapolsky, S., Drumwright, E., Rodriguez, A.: Learning data-efficient rigid-body contact models: case study of planar impact (2017). arXiv:171005947
Gautier, M., Khalil, W.: On the identification of the inertial parameters of robots. In: IEEE Conference on Decision and Control, pp 2264–2269. Austin (1988)
Hertz, H.: On the contact of elastic solids. J. Reine Angew. Math. 92, 156–171 (1881)
Hogan, F., Rodriguez, A.: Feedback control of the pusher-slider system: a story of hybrid and underactuated contact dynamics. In: Proceedings of the Workshop on Algorithmic Foundation Robotics (WAFR). San Francisco (2016)
Kane, T.R., Levinson, D.A.: Dynamics: Theory and Applications. McGraw-Hill, New York (1985)
Khosla, P., Kanade, T.: Parameter identification of robot dynamics. In: IEEE Conference on Decision and Control, pp. 1754–1760 (1985)
Koval, M., Pollard, N., Srinivasa, S.: Pose estimation for planar contact manipulation with manifold particle filters. Int. J. Robot. Res. 7(34), 922–945 (2015)
Kraus, P.R., Kumar, V.: Compliant contact models for rigid body collisions. In: Proceedings of International Conference on Robotics and Automation, vol. 2, pp. 1382–1387 (1997)
Lacoursiére, C.: Ghosts and machines: regularized variational methods for interactive simulations of multibodies with dry frictional contacts. Ph.D. thesis, Umeå University, Umeå (2007)
Lankarani, H., Nikravesh, P.: A contact force model with hysteresis damping for impact analysis of multibody systems. J. Mech. Design 112(3), 369–376 (1990)
Li, Z., Kota, S.: Virtual prototyping and motion simulation with adams. J. Comput. Inf. Sci. Eng. 1(3), 276–279 (2001)
Marhefka, D.W., Orin, D.E.: A compliant contact model with nonlinear damping for simulation of robotic systems. IEEE Trans. Syst. Man Cybern. 29(6), 566–572 (1999)
Mirtich, B.: Impulse-based dynamic simulation of rigid body systems. Ph.D. thesis, University of California, Berkeley (1996)
Nubiola, A., Bonev, I.A.: Absolute calibration of an abb irb 1600 robot using a laser tracker. Robot. Comput. Integr. Manuf. 29(1), 236–245 (2013)
Posa, M., Cantu, C., Tedrake, R.: A direct method for trajectory optimization of rigid bodies through contact. Int. J. Robot. Res. 33(1), 69–81 (2013)
Shapiro, A., Faloutsos, P., Ng-Thow-Hing, V.: Dynamic animation and control environment. In: Proceedings of Graphics Interface 2005, Canadian Human-Computer Communications Society, pp. 61–70 (2005)
Slotine, J.J.E.: On the adaptive control of robot manipulators. Int. J. Robot. Res. 6(3), 49–59 (1987)
Song, P., Kraus, P., Kumar, V., Dupont, P.: Analysis of rigid body dynamic models for simulation of systems with frictional contacts. J. Appl. Mech. 68 (2000)
Stewart, D.E.: Rigid-body dynamics with friction and impact. SIAM 42, 3–39 (2000)
Stewart, D.E., Trinkle, J.C.: An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and coulomb friction. Int. J. Numer. Methods Eng. 39(15), 2673–2691 (1996)
Stronge, W.J.: Rigid body collisions with friction. Proc. R. Soc. Lond. A 431, 169–181 (1990)
Wang, Y., Mason, M.T.: Two-dimensional rigid-body collisions with friction. ASME J. Appl. Mech. 59, 635–642 (1992)
Whittaker, E.T.: A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 4th edn. Dover, Mineola (1944)
Yu, K.T., Bauza. M., Fazeli. N., Rodriguez, A.: More than a million ways to be pushed. a high-fidelity experimental data set of planar pushing. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Daejeon (2016)
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Fazeli, N., Zapolsky, S., Drumwright, E., Rodriguez, A. (2020). Fundamental Limitations in Performance and Interpretability of Common Planar Rigid-Body Contact Models. In: Amato, N., Hager, G., Thomas, S., Torres-Torriti, M. (eds) Robotics Research. Springer Proceedings in Advanced Robotics, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-28619-4_41
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DOI: https://doi.org/10.1007/978-3-030-28619-4_41
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