Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2003.809164
Title: Fixed point theorem-based iterative learning control for LTV systems with input singularity
Authors: Xu, J.-X. 
Yan, R.
Keywords: Fixed-point theorem
Input singularity
Iterative learning control (ILC)
Linear time-varying (LTV) systems
Issue Date: Mar-2003
Source: Xu, J.-X., Yan, R. (2003-03). Fixed point theorem-based iterative learning control for LTV systems with input singularity. IEEE Transactions on Automatic Control 48 (3) : 487-492. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2003.809164
Abstract: In this note, we address a challenging and open problem: how to design a suitable iterative learning control (ILC) system in the presence of input singularity, which is Incurred by the singularities of the system direct feed-through term. Considering two typical types of input singularities, we first revise the ILC operators accordingly by adding a forgetting factor and incorporating a time-varying learning gain, in the sequel guarantee ILC operators to be contractible. Next, using the Banach fixed-point theorem, we demonstrate that the output sequence can either enter and remains ultimately in a designated neighborhood of the target trajectory, or is bounded by a class κ function. Finally, an illustrative example is presented.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/56068
ISSN: 00189286
DOI: 10.1109/TAC.2003.809164
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