Abstract
An unconditionally stable finite difference discretization motivated by the well-known Crank–Nicolson method is used to develop an Iterative Learning Control (ILC) design for systems whose dynamics are described by a fourth-order partial differential equation. In particular, a discrete in time and space model of a deformable rectangular mirror, as an exemplar application, is derived and used in the ILC design. Finally, the feasibility of the new ILC design is confirmed by numerical simulations.
This work is partially supported by National Science Centre in Poland, grant No. 2015/17/B/ST7/03703.
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Cichy, B., Augusta, P., Gałkowski, K., Rogers, E. (2017). Iterative Learning Control for a class of spatially interconnected systems. In: Mitkowski, W., Kacprzyk, J., Oprzędkiewicz, K., Skruch, P. (eds) Trends in Advanced Intelligent Control, Optimization and Automation. KKA 2017. Advances in Intelligent Systems and Computing, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-60699-6_71
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DOI: https://doi.org/10.1007/978-3-319-60699-6_71
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