Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/71221
Title: On the convergence speed of a class of higher-order ILC schemes
Authors: Xu, J. 
Tan, Y.
Issue Date: 2001
Source: Xu, J.,Tan, Y. (2001). On the convergence speed of a class of higher-order ILC schemes. Proceedings of the IEEE Conference on Decision and Control 5 : 4932-4937. ScholarBank@NUS Repository.
Abstract: In Iterative Learning Control (ILC) design, a direct objective is to achieve time-optimal learning in the presence of the system uncertainties. Higher-order ILC (HO-ILC) schemes have been proposed targeting at improving the convergence speed in the iteration domain. A m-th order ILC essentially uses system control information generated from past m iterations. A question is: can the convergence speed be improved in general by a HO-ILC? In this paper we show that, as far as the linear HO-ILC is concerned, the lower order ILC always outperform the higher-order ILC in the sense of time weighted norm. In order to facilitate a rigorous analysis of HO-ILC convergence speed and lay a fair basis for comparisons among ILC with different orders, the problem is formulated into a robust optimization problem in a min-max form.
Source Title: Proceedings of the IEEE Conference on Decision and Control
URI: http://scholarbank.nus.edu.sg/handle/10635/71221
ISSN: 01912216
Appears in Collections:Staff Publications

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