Segmented mirrors are to be used in the next generation of the ground-based optical telescopes to increase the size of the primary mirrors. A larger primary mirror enables the collection of more light, which results in higher image resolutions. The main reason behind the choice of segmented mirrors over monolithic mirrors is to reduce manufacturing, transportation, and maintenance costs of the overall system. However, segmented mirrors bring new challenges to the telescope design and control problem. The large number of inputs and outputs make the computations for centralized control schemes intractable. Centralized controllers also result in systems that are vulnerable to a complete system failure due to a malfunction of the controller. Distributed control is a viable alternative that requires the use of a network of simple individual segment controllers that can address two levels of coupling among segments and achieve the same performance objectives. Since segments share a common support structure, there exists a coupling among segments at the dynamics level. Any control action in one segment may excite the natural modes of the support structure and disturb other segments through this common support. In addition, the objective of maintaining a smooth mirror surface requires minimization of the relative displacements among neighbouring segment edges. This creates another level of coupling generally referred to as the objective coupling. This dissertation investigates the distributed H∞ control of the segmented next generation telescope primary mirrors in the presence of wind disturbances. Three distributed H∞ control techniques are proposed and tested on three segmented primary mirror models: the dynamically uncoupled model, the dynamically coupled model and the finite element model of Thirty Meter Telescope (TMT) project. It is shown that the distributed H∞ controllers are able to satisfy the stringent imaging performance requirements. / Graduate / 0548

La recherche de signes de vie extraterrestre par l'observation et la caractérisation d'exoplanètes est, entre autres, l'un des enjeux majeurs de l'astrophysique moderne. Cette quête se traduit de manière instrumentale par le développement de télescopes fournissant des résolutions angulaires supérieures à celles obtenues à l'heure actuelle. C'est pourquoi les projets de futurs très grands télescopes font usage de miroirs primaires dépassant les 30 mètres de diamètre. Leur conception est alors inévitablement basée, pour des raisons techniques et technologiques, sur une géométrie segmentée. De ce fait, la segmentation du miroir primaire implique une complexification des structures pupillaires du télescope. Dans le but d'atteindre les niveaux de qualité optique nécessaires aux applications scientifiques visées, la prise en compte et la correction des effets introduits par un mauvais alignement des segments est de prime importance puisque la résolution angulaire d'un télescope non cophasé serait équivalente à celle obtenue avec un segment individuel. Dans ce contexte, je développe dans cette thèse deux analyseurs de cophasage permettant de mesurer et de corriger les aberrations de piston, tip et tilt présentes sur une pupille segmentée. Le premier, nommé Self-Coherent Camera - Phasing Sensor (SCC-PS), est basé sur une analyse du signal en plan focal. Le second, nommé ZELDA - Phasing Sensor (ZELDA-PS), repose quant à lui sur une analyse du signal en plan pupille. Sont présentés dans ce manuscrit les résultats obtenus à l'aide de simulations numériques ainsi que ceux issus de l'implémentation de la SCC-PS sur un banc d'optique d'essai. / Searching for extraterrestrial life through the observation and characterization of exoplanets is, amongst others, one of the major goal of the modern astrophysics. This quest translate from an instrumental point of view to the development of telescope capable of reaching higher angular resolution that what is actually ongoing. That is why the future projects of extremely large telescopes are using primary mirrors exceeding the 30 meters in diameter. Their conception is consequently based, for technical and technological reasons, on a segmented geometry. The segmentation of the primary mirror therefore implies a growing complexity of the structure of its pupil. In order to reach the optical quality required by the sciences cases of interest, taking into account and correct for the effects introduced by a poor alignment of the segments is mandatory, as the angular resolution of a non-cophased telescope is equivalent to the one obtained with a single segment. In this context, I develop in this manuscript two cophasing sensors allowing to measure and correct for the aberrations of piston, tip and tilt present on a segmented pupil. The first one, the Self-Coherent Camera - Phasing Sensor (SCC-PS), is based on a focal plane analysis of the signal. The second one, the ZELDA - Phasing Sensor (ZELDA-PS), is based on a pupil plane analysis of the signal. The results obtained by means of numerical simulations and the first results coming from the implementation of the SCC-PS on an optical bench are presented in this manuscript.