This article analyzes the problem of modeling and compensation of friction at velocities close to zero. A new model, linear in parameters, which captures the downward bends at low velocity is used to adoptively compensate for friction. The need for this type of model is mainly motivated by instability phenomena that can be caused by overcompensation when simple models (such as Coulomb friction models) are used as a basis for the friction compensation. This model, in combination with an adaptive computed torque method, was tested experimentally in a robot manipulator.
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References
1.
ArmstrongB.1988 (Philadelphia). Friction: Experimental determination, modeling and compensation. IEEE International Conference on Robotics and Automation. 3:1422–1427.
2.
Canudas de WitC.1988. Adaptive Control for Partially Known Systems: Theory and Applications. Studies in Automation and Control, Vol. 7. New York: Elsevier Science Publishers.
3.
Canudas de WitC., ÅströmK. J., and BraunK.1986 (San Francisco, December). Adaptive friction compensation in DC motor drives. IEEE Conference on Robotics and Automation. 3:1556–1561. Also IEEE J Robot. Automat. RA-3(6):681–685.
4.
Canudas de WitC., and CarilloJ.1988 (Beijing, China). A modified EW-RLS algorithm for systems with bounded disturbances. IFAC Conference on Identification and Parameter Estimation. Automatica (1990. 26(3):599–606).
5.
DahlP. R.1977. Measurement of solid friction parameters of ball bearings. Proc. of 6th Annual Symposium on Incremental Motion Control Systems and Devices. University of Illinois.
6.
GilbartJ. W., and WinstonG. C.1974. Adaptive compensation for an optical tracking telescope. Automatica10:125–131.
7.
HandlykkenM., and TurnerT.1980 New Mexico. Control system analysis and synthesis for a six degree-of-freedom universal force reflecting hand controller. 9th IEEE Conf. on Decision and Control, Vol. 2, pp. 1197–1205.
8.
MaiauxL.1986. Compensation adaptive des frottements pour les asservissements avec moteur à courant continu. Rapport Interne (in French). Ensieg, France: Laboratoire d'Automatique de Grenoble.
9.
WalrathC. D.1984. Adaptive bearing friction compensation based on recent knowledge of dynamic friction. Automatica20:717–727.
10.
TustinA.1947. The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems. J. Institution Electrical Engineers94(2A):143–151.
11.
HerseyM. D.1966. Theory and Research in Lubrification. New York: John Wiley and Sons.
12.
WuC. H., and PaulP.1980 New Mexico. Manipulator compliance based on joint torque control. Proc. 9th IEEE Conf. Decision and Control, Vol. 1, pp. 88–94.