Motivated by the work by Spong (1) on the control of flexible joint robots, an adaptive control law guaranteeing that statements from the Tychnov theorem hold on an infinite time interval is presented first. Computer simulation comparisons are then carried out between the proposed infinite time interval controller and the conventional finite time interval controller.
SpongM. W.Adaptive control of flexible joint manipulators: Comments on two papers. Automatica, 1993 (submitted).
2.
DesoerC.VidyasagarM.Feedback systems: input-output properties, 1975, Academic Press, New York).
3.
SweetL. M.GoodM. C.Re-definition of the robot motion control problem: Effects of plant dynamics, drive system constraints, and user requirements. Proceedings of Twenty-third IEEE Conference on Decision and control, Las Vegas, Nevada, December 1984, pp. 724–731.
4.
ChangY.-Z.DanielR. W.On the adaptive control of flexible joint robots. Automatica, September 1992, 28(5), 969–974.
5.
GhorbelF.FitzmorrisA.SpongM. W.Robustness of adaptive control of robots: Theory and experiment. Proceedings of International Workshop on Nonlinear and adaptive control: issues in robotics, Grenoble, France, 21–23 November 1990.
6.
HungJ. Y.Robust control of flexible joint robots. PhD thesis, Department of Electrical and Computer Science, University of Illinois at Urbana-Champain, 1989.
7.
SpongM. W.Adaptive control of flexible joint robots. J. Dyn. System, Measmt and Control, 1987, 109, 310–319.
8.
SpongM. W.Adaptive control of flexible joint robots. Systems and Control Letters, 1989, 13, 15–21.
9.
KhalilH.Nonlinear systems, 1992, Macmillan, New York).
10.
SlotineJ.-J. E.LiW.Applied nonlinear control, 1991, Prentice-Hall, Englewood Cliffs, New Jersey).