Robust iterative learning control design for uncertain time-delay systems based on a performance index

Author(s): D. Meng ; Y. Jia ; J. Du ; F. Yu
DOI: 10.1049/iet-cta.2008.0510

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Author(s): D. Meng ¹ ; Y. Jia ^{1, 2} ; J. Du ³ ; F. Yu ⁴
- Affiliations: 1: Seventh Research Division, Beihang University (BUAA), Beijing, People's Republic of China
  2: Key Laboratory of Mathematics, Informatics and Behavioral Semantics (LMIB), Ministry of Education, SMSS, Beihang University (BUAA), Beijing, People's Republic of China
  3: Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing, People's Republic of China
  4: School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, People's Republic of China
Source: Volume 4, Issue 5, May 2010, p. 759 – 772
DOI: 10.1049/iet-cta.2008.0510 , Print ISSN 1751-8644, Online ISSN 1751-8652

Here the authors concerned with robust iterative learning control (ILC) for uncertain time-delay systems. They demonstrate that the design of a robust ILC is straightforward based on a performance index for the error system. The ILC algorithms under consideration are rather simple. They show that after the two-dimensional analysis of ILC, a Lyapunov-like approach can be used to directly obtain a stable algorithm that achieves monotonic convergence of the control input error. Sufficient stability conditions are provided in terms of linear matrix inequalities, which can determine learning gains as well. They also show that the Lyapunov-like approach can be applied to design robust ILC for uncertain systems with time-varying delay or multiple time delays. Numerical simulation results are presented to illustrate the effectiveness of the proposed ILC approach.

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Robust iterative learning control design for uncertain time-delay systems based on a performance index

Robust iterative learning control design for uncertain time-delay systems based on a performance index

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