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Modeling and iterative learning control of a circular deformable mirror

Modeling and iterative learning control of a circular deformable mirror
Modeling and iterative learning control of a circular deformable mirror
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.
2405-8963
3117-3122
Cichy, Blazem
7f9e82ee-ff3f-40d7-839e-0e54d878538e
Augusta, Petr
f36e3fbe-83b0-4678-8a15-7d8c6a2f6171
Galkowski, Kryzysztof
c4703a79-a513-494f-ab5c-744ebb04b4b8
Rauh, Andreas
c634dd32-379e-4986-b116-16b1477f8ec5
Achemann, Harald
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Rogers, Eric
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Rehak, Branislav
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Cichy, Blazem
7f9e82ee-ff3f-40d7-839e-0e54d878538e
Augusta, Petr
f36e3fbe-83b0-4678-8a15-7d8c6a2f6171
Galkowski, Kryzysztof
c4703a79-a513-494f-ab5c-744ebb04b4b8
Rauh, Andreas
c634dd32-379e-4986-b116-16b1477f8ec5
Achemann, Harald
6b1d3c75-d09f-460b-ac7c-4a1fc2bf9f0a
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Rehak, Branislav
e6ea72c7-d691-4852-9ccc-691033f333bf

Cichy, Blazem, Augusta, Petr, Galkowski, Kryzysztof, Rauh, Andreas, Achemann, Harald, Rogers, Eric and Rehak, Branislav (2017) Modeling and iterative learning control of a circular deformable mirror. IFAC-PapersOnLine, 50 (1), 3117-3122. (doi:10.1016/j.ifacol.2017.08.319).

Record type: Article

Abstract

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.

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Modeling and Iterative Learning Control of a Circular Deformable Mirror. - Accepted Manuscript
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Accepted/In Press date: 27 February 2017
e-pub ahead of print date: 18 October 2017
Venue - Dates: 20th IFAC World congress, Toulouse, France, 2017-07-09 - 2017-07-14

Identifiers

Local EPrints ID: 415684
URI: https://eprints.soton.ac.uk/id/eprint/415684
ISSN: 2405-8963
PURE UUID: 63ed66f9-ca5e-41ff-8797-f9000f26fdd4

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Date deposited: 20 Nov 2017 17:30
Last modified: 14 Mar 2019 05:26

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Contributors

Author: Blazem Cichy
Author: Petr Augusta
Author: Kryzysztof Galkowski
Author: Andreas Rauh
Author: Harald Achemann
Author: Eric Rogers
Author: Branislav Rehak

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