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Control of Many Coupled Oscillators and Application to Segmented-Mirror Telescopes

MacMynowski, Douglas G. and Thompson, Peter M. and Sirota, Mark J. (2008) Control of Many Coupled Oscillators and Application to Segmented-Mirror Telescopes. In: AIAA Guidance, Navigation and Control Conference and Exhibit. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2008-6638. ISBN 978-1-60086-999-0. https://resolver.caltech.edu/CaltechAUTHORS:20200117-103435518

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Abstract

The largest optical telescopes today use a segmented primary mirror, with the out-of-plane position of each segment actively controlled. The segments are supported by a flexible structure that introduces dynamic coupling. This coupling leads to control-structure-interaction (CSI), which limits the achievable bandwidth of the primary mirror control system. As telescopes increase in size, the number of mirror segments increase, and the potential for CSI increases. The dynamics can be approximated by n identical oscillators coupled through the support structure. These dynamics are explored herein. First, in the special case where the support-structure modes provide an orthonormal basis for the oscillator dynamics, the problem can be transformed into n separate coupled oscillator problems. The application to more realistic support structures is then investigated using the dynamic model of the Thirty Meter Telescope. The achievable bandwidth is estimated by projecting the dynamics onto Zernike basis functions, with higher bandwidth possible for higher spatial frequency.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2008-6638DOIArticle
ORCID:
AuthorORCID
MacMynowski, Douglas G.0000-0003-1987-9417
Additional Information:© 2008 by Douglas G. MacMynowski, Peter M. Thompson, and Mark J. Sirota. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Published online: 15 Jun 2012.
Group:Thirty Meter Telescope
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AIAA Paper2008-6638
Record Number:CaltechAUTHORS:20200117-103435518
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200117-103435518
Official Citation:Control of Many Coupled Oscillators and Application to Segmented-Mirror Telescopes. Douglas MacMynowski, Peter Thompson, and Mark Sirota. AIAA Guidance, Navigation and Control Conference and Exhibit. August 2008. 10.2514/6.2008-6638
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100789
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Jan 2020 18:48
Last Modified:17 Jan 2020 18:48

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