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H-based design approach to discrete-time learning control systems with iteration-varying disturbances

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4 Author(s)
Deyuan Meng ; Dept. of Syst. & Control, Beihang Univ. (BUAA), Beijing, China ; Yingmin Jia ; Junping Du ; Fashan Yu

This paper is concerned with the iterative learning control (ILC) problem for discrete-time systems with iteration-varying disturbances. Using the so-called super-vector approach to ILC, the discrete domain bounded real lemma is employed to develop a sufficient condition ensuring both the stability and the desired H performance of the ILC process. It is shown that this sufficient condition can be presented in terms of linear matrix inequalities (LMIs), which can also determine the learning gain matrix. A numerical simulation example is included to validate the theoretical results.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009