Encyclopedia of the Sciences of Learning

2012 Edition
| Editors: Norbert M. Seel

Iterative/Repetitive Learning Control: Learning from Theory, Simulations, and Experiments

Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-1428-6_1640

Synonyms

Definition

The reader is referred to the separate encyclopedia entry on iterative learning control (ILC), and to Bien and Xu (1998), Moore and Xu (2000), Ahn et al. (2007). Many control system applications involve executing the same command repeatedly, and returning to the same starting point before starting the next repetition of the command, for example, robots in manufacturing operations. When typical feedback control systems are given a specific time varying command, they produce an output similar to the command, but it is not the same. Also, many control systems are subject to the same external disturbances each repetition. ILC aims to eliminate both of these errors by observing the error measured during the previous run, adjusting the command given in this run, aiming to converge to zero tracking error, or to substantially reduce the tracking error. ILC iteratively learns a command that produces zero...

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References

  1. Ahn, H.-S., Chen, Y., & Moore, K. L. (2007). Iterative learning control: brief survey and categorization. IEEE Transactions on Systems, Man, and Cybernetics, Part-C, 37, 1099–1122.CrossRefGoogle Scholar
  2. Bien, Z., & Xu, J.-X. (Eds.). (1998). Iterative learning control: analysis, design, integration and applications. Boston: Kluwer.Google Scholar
  3. Longman, R. W. (2000). Iterative learning control and repetitive control for engineering practice. International Journal of Control, 73(10), 930–954.CrossRefGoogle Scholar
  4. Longman, R. W. (2003). On the interaction between theory, experiments, and simulation in developing practical learning control algorithms. International Journal of Applied Mathematics and Computer Science, 13(1), 101–111.Google Scholar
  5. Longman, R. W. (2010). On the theory and design of linear repetitive control systems. European Journal of Control, 16(5), 447–496.CrossRefGoogle Scholar
  6. Moore, K., & Xu, J.-X. (Guest Eds.) (2000). Special issue on iterative learning control. International Journal of Control, 73(10): 1–999.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringColumbia University The Fu Foundation School of Engineering & Applied ScienceNew YorkUSA