A class of learning/estimation algorithms using nominal values: Asymptoticanalysis and applications

Citation
G. Yin et al., A class of learning/estimation algorithms using nominal values: Asymptoticanalysis and applications, J OPTIM TH, 105(1), 2000, pp. 189-212
Citations number
11
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
105
Issue
1
Year of publication
2000
Pages
189 - 212
Database
ISI
SICI code
0022-3239(200004)105:1<189:ACOLAU>2.0.ZU;2-W
Abstract
A class of estimation/learning algorithms using stochastic approximation in conjunction with two kernel functions is developed. This algorithm is recu rsive in form and uses known nominal values and other observed quantities. Its convergence analysis is carried out, the rate of convergence is also ev aluated. Applications to a nonlinear chemical engineering system are examin ed through simulation study. The estimates obtained will be useful in proce ss operation and control, and in on-line monitoring and fault detection.