Modeling and Iterative Learning Control of a Circular Deformable Mirror

0477297 - ÚTIA 2018 RIV NL eng C - Konferenční příspěvek (zahraniční konf.)
Cichy, B. - Augusta, Petr - Galkowski, A. - Rauh, A. - Aschemann, H. - Rogers, E. - Rehák, Branislav
Modeling and Iterative Learning Control of a Circular Deformable Mirror.
IFAC-PapersOnLine. Volume 50, Issue 1. : 20th IFAC World Congress. Amsterdam: Elsevier, 2017 - (Dochain, D.; Henrion, D.; Peaucelle, D.), s. 3117-3122. ISSN 2405-8963.
[World Congress of the IFAC 2017 /20./. Toulouse (FR), 09.07.2017-14.07.2017]
Institucionální podpora: RVO:67985556
Klíčová slova: Iterative learning control * Control of partial differential equations * Stability of distributed parameter systems * Linear systems * N-dimensional systems
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

An unconditionally stable finite difference scheme for systems whose dynamics are described by a fourth-order partial differential equation is developed using a regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization that was originally developed for second order systems and it is used in this paper to develop a discrete in time and space model of a deformable mirror as a basis for control law design. As one example, the resulting model is used for iterative learning control law design and supporting numerical simulations are given.
Trvalý link: http://hdl.handle.net/11104/0273681