H. Siraramirez et E. Colinamorles, A SLIDING MODE STRATEGY FOR ADAPTIVE LEARNING IN ADALINES, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 42(12), 1995, pp. 1001-1012
A dynamical sliding mode control approach is proposed for robust adapt
ive learning in analog Adaptive Linear Elements (Adalines), constituti
ng basic building blocks for perceptron-based feedforward neural netwo
rks, The zero level set of the learning error variable is regarded as
a sliding surface in the space of learning parameters, A sliding mode
trajectory can then be induced, in finite time, on such a desired slid
ing manifold, Neuron weights adaptation trajectories are shown to be o
f continuous nature, thus avoiding bang-bang weight adaptation procedu
res, Sliding mode invariance conditions determine a least squares char
acterization of the adaptive weights average dynamics whose stability
features may be studied using standard time-varying linear systems res
ults, Robustness of the adaptative learning algorithm, with respect to
bounded external perturbation signals, and measurement noises, is als
o demonstrated, The article presents some simulation examples dealing
with applications of the proposed algorithm to forward and inverse pla
nt dynamics identification.