Monotonically convergent iterative learning control for uncertain time-delay systems: an LMI approach

Authors:
Deyuan Meng;Yingmin Jia;Junping Du;Fashan Yu
Affiliations:
Seventh Research Division, Beihang University, Beijing, P. R. China;Seventh Research Division, Beihang University, Beijing, P. R. China;Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing, P. R. Chin ...;School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, Henan, P. R. China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 4
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Abstract

This paper deals with the robust iterative learning control (ILC) problem for time-delay systems (TDS) subject to matched parameter uncertainties. Based on two-dimensional (2- D) approach, a stability analysis of the ILC process is developed in the sense that the control error converges monotonically as a function of iteration. It shows that a sufficient condition for the ILC stability can be given in terms of linear matrix inequalities (LMIs), which derives learning gains directly. Simulation results show that the ILC system under a law using gains solved by the LMI approach is robustly stable and monotonically convergent.