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Abstract

The control of the center of mass of a robot is a relevant problem in case of biped walking machines. Besides, studying the motion and the stabilization of the center of mass of a human is an important research topic in the area of biomechanics. Finally, the two areas are involved when we want to synthesize certain classes of realistic motions in computer animation. In this paper, we address some of the modelling problems which arise when considering the CoM of an articulated chain. The basic result we show is that the position of the CoM of a general tree-structure kinematic chain can always be represented by the end-point position of an equivalent serial open kinematic chain, the geometric parameters of which depends on the mass properties of the original structure.

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References

  • A. Torige, J. Sugimoto, M. Joguchi, N. Ishizawa, “Development of a Gravity Position Controlled Manipulator Using a Redundant Degree of Freedom”, IFAC Symp. on Robot Control, Capri, Italy, Sept 19–21 1994, pp 441-446

    Google Scholar 

  • Thirunarayan, M A; Kerrigan, D C; Rabuffetti, M; Croce, U D; Saini, M. “Comparison of three methods for estimating vertical displacement of center of mass during level walking in patients” Gait and Posture, vol. 4 no 4, 1996, pp 306–314

    Article  Google Scholar 

  • Li, Q; Takanishi, A; Kato, I. “Learning Control of Compensative Trunk Motion for Biped Walking Robot Based on ZMP stability Criterion”, IEEE/RSJ Int. Symp. on Intelligent Robot and Systems, Japan, July 7–10 1992, pp 597-603

    Google Scholar 

  • Boulic, R. “Interactive Identification of the Center of Mass Reachable Space for an Articulated Manipulator” 1997 Int. Conf. on Advanced Robotics, July 7–9, 1997, Monterey, California, U.S.A.

    Google Scholar 

  • Boulic R.; Mas R. “Complex Character Positioning Based on a Compatible Flow Model of Multiple Supports”, IEEE Transactions on Visualization and Computer Graphics, IEEE TVCG July–September 1997

    Google Scholar 

  • Boulic R.; Mas R.; Thalmann, D. “A Robust Approach for the Control of the Center of Mass with Inverse Kinetics”, Proc. of Spanish Conference on Computer Graphics, Palma de Majorca, June 1995.

    Google Scholar 

  • Hesse, S; Schauer, M; Jahnke, M T. “Standing-up in healthy subjects: Symmetry of weight distribution and lateral displacement of the centre of mass as related to limb dominance”, Gait and Posture, vol. 4 no 4, 1996, pp 287–292.

    Article  Google Scholar 

  • Shih, C.L. “Analysis of the Dynamics of a Biped Robot with Seven Degrees of Freedom”, IEEE Int. Conf. on Robotics and Automation, Minneapolis, USA, April 22–28 1996, pp 3008-3013

    Google Scholar 

  • Caron, O; Faure, B; Brenière, Y. “ Estimating the centre of gravity of the body on the basis of the centre of pressure in standing posture”, Journal of Biomechanics, Technical Note, to appear, 1998

    Google Scholar 

  • Brenière, Y. “Why We Walk the Way We Do”, Journal of Motor Behavior, 1996, Vol. 28, No 4, pp 291–298.

    Article  Google Scholar 

  • Gorce, P; Vanel, O; Ribreau, C. “Equilibrium study of a human robot”, IEEE Int. Conf. on Systems, Man and Cybernetics, oct 22–25 1995, Vancouver

    Google Scholar 

  • Espiau, B.; Boulic, R. “On the Computation and the Control of the Mass Center of Articulated Chains”, Inria research report, to appear, 1998

    Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Espiau, B. (1998). On the Mass Center of Articulated Chains. In: Lenarčič, J., Husty, M.L. (eds) Advances in Robot Kinematics: Analysis and Control. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9064-8_19

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  • DOI: https://doi.org/10.1007/978-94-015-9064-8_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5066-3

  • Online ISBN: 978-94-015-9064-8

  • eBook Packages: Springer Book Archive

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