Decoupling of the 10 m GranTeCan telescope´s primary mirror dynamics and design of a controller for noise rejection

Author

Acosta, L. ; Sigut, M. ; Méndez, J.A. ; Hamilton, A. ; Marichal, G.N. ; Moreno, L.

Author_Institution

Univ. of La Laguna, Spain

Volume

3

fYear

2000

fDate

2000

Firstpage

2108

Abstract

The goal of the paper is to present a method for the decoupling of a multivariable system and to show how this procedure allows the problem of vibrations rejection to be faced. The system we have worked with represents the dynamic behaviour of the GTC´s (Gran Telescopio Canarias) 10 m diameter primary mirror. This telescope will be built in the island of La Palma (Spain). The big size of this mirror has caused its segmentation into 36 hexagonal pieces called segments. The system has 108 inputs and the same number of outputs coupled among them. With the decoupling method we present in this work, the problem of designing a controller for a MIMO system has been converted into the calculus of 108 SISO controllers. One of these controllers is presented as an example of how the decoupling process facilitates the noise rejection

Keywords

MIMO systems; astronomical telescopes; control system synthesis; dynamics; eigenvalues and eigenfunctions; matrix algebra; 10 m GranTeCan telescope; Gran Telescopio Canarias; La Palma; SISO controllers; decoupling process; noise rejection; primary mirror dynamics; vibrations rejection; Actuators; Calculus; Control systems; Damping; Delay effects; MIMO; Mirrors; Optical design; Telescopes; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.879573

Filename

879573