Abstract
Mechanical hands, legged vehicles and cooperating manipulators are robotic systems containing closed kinematic chains which are typically driven by more actuators than required. As a result, the force distribution existing in these systems cannot be determined simply from the governing rigid-body statics or dynamics equations since these equations are underdetermined. Techniques have been proposed to overcome this obstacle — the most common being to formulate an optimization problem whose solution will be a force distribution which is optimal in a prescribed sense. A second approach which has been suggested is one in which the elasticity of the constituent bodies is considered in order to render the force-distribution problem determinate, in a manner analogous to the techniques typically used in structural mechanics to analyze hyperstatic structures. A third approach would be to deactivate certain actuators in order to reduce the number of unknowns so that the problem becomes determinate. In the present paper, these methods are compared and the first is shown to yield the best results.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Orin, D. E. and Oh, S. Y.: Control of force distribution in robotic mechanisms containing closed kinematic chains,Trans. ASME, J. Dynamic Systems, Measurement Control,103(2) (1981), 134–141.
Nahon, M. and Angeles, J.: Optimization of dynamic forces in mechanical hands,Trans. ASME, J. Mechanical Design,113(2) (1991), 167–173.
Gorinevsky, D. M. and Shneider, A. Yu.: Force control in locomotion of legged vehicles over rigid and soft surfaces,Int. J. Robotics Res. 9(2) (1990), 4–23.
Umnov, N. V. and Pogrebniac, A. Y.: Body movement of walking machines during walking (in Russian), inProc. 4th World Congr. Theory of Machines and Mechanisms, Sept. 8–12, Newcastle-Upon-Tyne, 1975, pp. 365–369.
Zeghoul, S., Lallemand, J.-P. and Murguet, D.: Modelisation and simulation of mechanical process in hyperstatical gripping withn-contact points, inProc. 6th Romansy, 1987, 139–147.
Lallemand, J.-P., in Boissonnat, J.-D., Faverjon B. and J.-P. Merlet (eds),Techniques de la Robotique, Tome 1. Architectures et Commande, Hermès, Paris, 1988.
Gao, X. C. and Song, S. M.: Stiffness matrix method for foot force distribution of walking machines, inProc. IEEE Int. Conf. Robotics and Automation, Cincinnati, OH, 1990, pp. 1470–1475.
Gao, X. C., Song, S. M. and Zheng, C. Q.: A generalized stiffness matrix method for force distribution of robotic systems with indeterminacy, inProc. 1990 ASME Biennial Mechanisms Conf., Chicago, IL, Vol. DE-24, pp. 457–463.
Mason, M. T.: Compliant motion, in M. Bradyet al. (eds),Robot Motion, MIT Press, MA, 1982.
Nahon, M. and Angeles, J.: Cooperative control of multi-armed space manipulators,Canad. Aeronautics Space J. 37(2) (1991), 78–86.
McCormac, J. C.:Structural Analysis, Harper and Row, New York, 1984.
Matheson, J. A. L.:Hyperstatic Structures, Butterworth, London, 1971.
Golub, G. H. and Van Loan, C. F.:Matrix Computations, John Hopkins University Press, Baltimore, 1983.
Strang, G.:Linear Algebra and its Applications, Academic Press, New York, 1980.
Tandirci, M., Angeles, J. and Ranjbaran, F.: The characteristic point and the characteristic length of robotic manipulators, inProc. 1992 ASME Biennial Mechanisms Conf., Scottsdale, AZ, Vol. DE-45, pp. 203–208.
Angeles, J. and Gosselin, C.: Détermination du degré de liberté des chaînes cinématiques,Trans. Canad. Soc. Mech. Eng. 12(4) (1988), 219–226.
Popov, E. P.:Mechanics of Materials, Prentice-Hall, Englewood Cliffs, NJ, 1978.
Nahon, M. and Angeles, J.: Minimization of power losses in cooperating manipulators,Trans. ASME, J. Dynamic Systems, Measurement, and Control,114(2) (1992), 213–219.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nahon, M. A comparison of methods for the control of redundantly-actuated robotic systems. J Intell Robot Syst 14, 3–20 (1995). https://doi.org/10.1007/BF01254005
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01254005