A common technique in neurocontrol is that of controlling a plant by s
tatic state feedback using the plant's inverse dynamics, which is appr
oximated through a learning process. It is well known that in this con
trol mode even small approximation errors or, which is the same, small
perturbations of the plant may lead to instability. Here, a novel app
roach is proposed to overcome the problem of instability by using the
inverse dynamics both for the static and for the error-compensating dy
namic state feedback control. This scheme is termed SDS feedback contr
ol. It is shown that as long as the error of the inverse dynamics mode
l is ''signproper'' the SDS feedback control is stable, i.e., the erro
r of tracking may be kept small. The proof is based on a modification
of Liapunov's second method. The problem of on-line learning of the in
verse dynamics when using the controller simultaneously for both forwa
rd control and for dynamic feedback is dealt with, as are questions re
lated to noise sensitivity and robust control of robotic manipulators.
Simulations of a simplified sensorimotor loop serve to illustrate the
approach. (C) 1997 Elsevier Science Ltd. All rights reserved.