A finite dimensional algorithm is presented which by trial searches fo
r a control law is able to move a two-link flexible arm between two gi
ven equilibrium configurations in a finite time interval. Using a sing
ular perturbation analysis, the possibility of considering the system
as a linear perturbed one is shown, allowing the use of a linear learn
ing algorithm which is able to reject all the nonlinear disturbances.
The effectiveness of this algorithm is proven by theoretical arguments
and experimental results. Robustness with respect to unmodeled high f
requency dynamics is also addressed. (C) 1997 Elsevier Science Ltd.