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Title Componentwise Holder Inference for Robust Learning-Based MPC
Authors MANZANO CRESPO, JOSÉ MARÍA, Munoz de la Pena, David , Calliess, Jan-Peter , Limon, Daniel
External publication No
Means IEEE Trans. Autom. Control
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 6.549
SJR Impact 4.172
Publication date 01/11/2021
ISI 000711740700053
DOI 10.1109/TAC.2021.3056356
Abstract This article presents a novel learning method based on componentwise Holder continuity, which allows one to consider independently the contribution of each input to each output of the function to be learned. The method provides a bounded prediction error, and its learning property is proven. It can be used to obtain a predictor for a nonlinear robust learning-based predictive controller for constrained systems. The resulting controller achieves better closed loop performance and larger domains of attraction than learning methods that only consider nonlinear set membership, as illustrated by a case study.
Keywords Learning systems; Predictive models; Estimation; Uncertainty; Standards; Prediction algorithms; Interpolation; Inference algorithms; machine learning; nonlinear systems; predictive control; robust stability
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