An alternative update formula for non-linear model-based iterative learning control

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Authors

Eksteen, Johannes Jacobus Arnoldi
Heyns, P.S. (Philippus Stephanus)

Journal Title

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Publisher

Taylor and Francis

Abstract

The conventional iterative learning control (ILC) algorithm for modelbased ILC of non-linear systems is presented with the use of a nonlinear inverse model as ILC compensator. The non-linear inverse model is solved with stable inversion. In addition, an alternative ILC algorithm for model-based ILC of non-linear systems is developed, also with using a non-linear inverse model as ILC compensator. Some connections between the conventional and alternative ILC algorithms and Picard, Mann and Ishikawa iterations are explored. The conventional and alternative algorithms are compared in a number of theoretical examples.

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Keywords

Stable inversion, Picard iteration, Mann iteration, Response reconstruction, Fatigue testing, Discrete time, Non-linear, Iterative learning control (ILC)

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Citation

J. J. A. Eksteen & P. S. Heyns (2016) An alternative update formula for nonlinear model-based iterative learning control, Inverse Problems in Science and Engineering, 24:5, 860-888, DOI: 10.1080/17415977.2015.1088536.