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Title: Fixed Point Theorem based Iterative Learning Control for LTV Systems with Input Singularity
Authors: Xu, J.-X. 
Yan, R.
Issue Date: 2003
Citation: Xu, J.-X.,Yan, R. (2003). Fixed Point Theorem based Iterative Learning Control for LTV Systems with Input Singularity. Proceedings of the American Control Conference 4 : 3655-3660. ScholarBank@NUS Repository.
Abstract: In this work 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 Banach fixed-point theorem, we demonstrate that the output sequence can either enter and remains ultimately in a designated neighbourhood of the target trajectory, or bounded by a class Κ function. Finally an illustrative example is presented.
Source Title: Proceedings of the American Control Conference
ISSN: 07431619
Appears in Collections:Staff Publications

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