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ISRN Applied Mathematics
Volume 2012 (2012), Article ID 365927, 18 pages
Research Article

Repetitive Processes Based Iterative Learning Control Designed by LMIs

Laboratory of Analysis and Control of Systems (LACS), National Engineering School of Tunis, BP 37, le Belvedere, 1002 Tunis, Tunisia

Received 20 October 2012; Accepted 12 November 2012

Academic Editors: Y. Dimakopoulos, Z. Hou, and C. Lu

Copyright © 2012 Jamel Dridi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper addressed the stability analysis along the pass and the synthesis problem of linear 2D/repetitive systems. The algorithms for control law design are developed using a strong form of stability for discrete and differential linear repetitive processes known as stability along the pass. In particular, recent work on the use of linear matrix inequalities- (LMIs-) based methods in the design of control schemes for discrete and differential linear repetitive processes will be highlighted by the application of the resulting theory of linear model. The resulting design computations are in terms of linear matrix inequalities (LMIs). Simulation results demonstrate the good performance of the theoretical scheme.