Improvements in stable inversion of NARX models by using Mann iteration
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Date
Authors
Eksteen, J.J.A.
Heyns, P.S. (Philippus Stephanus)
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis
Abstract
The use of Mann iteration in the stable inversion of NARX models that have
been converted to state space form is investigated to either recover the convergence
or improve the accuracy of the best approximate solution under conditions
when Picard iteration fails to converge. Attention is given to the use of filtering
and time-varying iteration gains. The results are potentially of use in response
reconstruction for fatigue testing purposes where the inverse of a NARX model,
obtained by system identification, may be used to achieve the reconstruction.
Description
Keywords
Stable inversion, Picard iteration, Mann iteration, Ishikawa iteration, Iterative learning control, NARX models, Discrete time, Nonlinear, Response reconstruction, Fatigue testing
Sustainable Development Goals
Citation
J.J.A. Eksteen & P.S. Heyns (2016) Improvements in stable inversion of NARX
models by using Mann iteration, Inverse Problems in Science and Engineering, 24:4, 667-691,
DOI:
10.1080/17415977.2015.1055262.