The design problem of model-based adaptive control of robots with unknown parameters is considered. By intro ducing a nonholonomic transformation of the error dynamics, a general class of adaptive algorithms is obtained, which includes some previously derived results as special cases. The algorithms can be implemented through fast recursive schemes such as the Newton-Euler formulation without requiring excessive feedback gains. By setting certain terms, it is also possible to obtain an exponential convergence of the joint errors.
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References
1.
Craig, J.J.1986. Introduction to Robotics: Mechanics and Control . Reading, Mass.: Addison-Wesley .
2.
Craig, J.J., Hsu, P., and Sastry, S.S.1987. Adaptive control of mechanical manipulators. Int. J. Robot. Res. 6(2):16-28.
3.
Dubowsky, S., and DesForges, D.T.1979. The application of model-referenced adaptive control to robotic manipulators. ASME J. Dyn. Sys. Meas. Control101:193-200.
4.
Greenwood, D.T.1965. Principles of Dynamics. Englewood Cliffs, N.J.: Prentice-Hall.
5.
Gu, K., and Tongue, B.1988 (July). On adaptive motion control of robot manipulators and its fast implementation. USA-Japan Symposium on Flexible Automation.
6.
Horowitz, R., and Tomizuka, M.1980. An adaptive control scheme for mechanical manipulators—compensa— tion of nonlinearity and decoupling control. ASME Paper No. 80-WA/DSC-6.
7.
Hsu, P., Bodson, M., Sastry, S., and Paden, B.1987. Adaptive identification and control for manipulators without using joint accelerations. IEEE International Conference on Robotics and Automation, pp. 1210-1215.
8.
Kailath, T.1980. Linear Systems. Englewood Cliffs, N.J. : Prentice-Hall.
9.
Khosla, P., and Kanade, T.1985 (Ft. Lauderdale, Fla.). Parameter identification of robot dynamics. IEEE Conf. on Decision and Control.
10.
Lee, C.S.G., and Chung, M.J.1984. An adaptive control strategy for mechanical manipulators . IEEE Trans. Auto. ControlAC-29(9).
11.
Luh, J.Y.S., Walker, M.W., and Paul, R.P.C.1980. On-line computational scheme for mechanical manipulators . ASME J. Dyn. Sys. Meas. Control1:60-70.
12.
Middleton, R.H., and Goodwin, G.C.1986 (Athens, Greece). Adaptive computed torque control for rigid link manipulators. Proc. 25th Conf. on Decision and Control, pp. 68-73.
13.
Orin, D.E., McGhee, R.B., Vukobratovic, M., and Hartock, G., 1979. Kinematic and kinetic analysis of open-chain linkage utilizing Newton-Euler methods. Math. Biosci.43:107-130.
14.
Paul, R.P.1981. Robot Manipulators: Mathematics, Programming, and Control . Cambridge, Mass.: MIT Press.
15.
Sadegh, N., and Horowitz, R.1987. Stability analysis of an adaptive controller for robotic manipulators. IEEE International Conference on Robotics and Automation, pp. 1223-1229.
16.
Slotine, J.J.E., and Li, W.1987. On the adaptive control of robot manipulators. Int. J. Robot. Res. 6(3):49-59.
17.
Wang, T., and Kohli, D.1985. Closed and expanded form of manipulator dynamics using Lagrangian approach. ASME J. Mech. Trans. Automat. Des.107:223-225.
18.
Walker, M.W.1990. Adaptive control of manipulators containing closed kinematic loops. IEEE Trans. Robot. Automat.6(1):10-19.
