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.
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Cichy, B., Augusta, P., Gałkowski, K., & Rogers, E. (2017). Iterative learning control for a class of spatially interconnected systems. In Advances in Intelligent Systems and Computing (Vol. 577, pp. 734–743). Springer Verlag. https://doi.org/10.1007/978-3-319-60699-6_71
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