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Dynamic Analysis of the Actively-Controlled Segmented Mirror of the Thirty Meter Telescope

MacMartin, Douglas G. and Thompson, Peter M. and Colavita, M. Mark and Sirota, Mark J. (2014) Dynamic Analysis of the Actively-Controlled Segmented Mirror of the Thirty Meter Telescope. IEEE Transactions on Control Systems Technology, 22 (1). pp. 58-68. ISSN 1063-6536. http://resolver.caltech.edu/CaltechAUTHORS:20140131-095540437

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Abstract

Current and planned large optical telescopes use a segmented primary mirror, with the out-of-plane degrees of freedom of each segment actively controlled. The primary mirror of the Thirty Meter Telescope (TMT) considered here is composed of 492 segments, with 1476 actuators and 2772 sensors. In addition to many more actuators and sensors than at existing telescopes, higher bandwidths are desired to partially compensate for wind-turbulence loads on the segments. Control-structure interaction (CSI) limits the achievable bandwidth of the control system. Robustness can be further limited by uncertainty in the interaction matrix that relates sensor response to segment motion. The control system robustness is analyzed here for the TMT design, but the concepts are applicable to any segmented-mirror design. The key insight is to analyze the structural interaction in a Zernike basis; rapid convergence with additional basis functions is obtained because the dynamic coupling is much stronger at low spatial-frequency than at high. This analysis approach is both computational efficient, and provides guidance for structural optimization to minimize CSI.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TCST.2013.2240456DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6461077PublisherArticle
ORCID:
AuthorORCID
MacMartin, Douglas G.0000-0003-1987-9417
Additional Information:© 2014 IEEE. Manuscript received March 12, 2012; revised November 2, 2012; accepted December 21, 2012. Manuscript received in final form January 12, 2013. Date of publication February 12, 2013; date of current version December 17, 2013. This work was supported in part by the Gordon and Betty Moore Foundation, the Canada Foundation for Innovation, the Ontario Ministry of Research and Innovation, the National Research Council of Canada, the Natural Sciences and Engineering Research Council of Canada, the British Columbia Knowledge Development Fund, the Association of Universities for Research in Astronomy (AURA), and the U.S. National Science Foundation. M. M. Colavita works at the Jet Propulsion Laboratory, California Institute of Technology, which is operated under contract for NASA. Recommended by Associate Editor G. Cherubini.
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
Canada Foundation for InnovationUNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
National Research Council of CanadaUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
British Columbia Knowledge Development FundUNSPECIFIED
Association of Universities for Research in Astronomy (AURA)UNSPECIFIED
NSFUNSPECIFIED
NASAUNSPECIFIED
Subject Keywords:Control–structure interaction (CSI), telescopes.
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INSPEC Accession Number13989869
Record Number:CaltechAUTHORS:20140131-095540437
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140131-095540437
Official Citation:MacMartin, D.G.; Thompson, P.M.; Colavita, M.M.; Sirota, M.J., "Dynamic Analysis of the Actively-Controlled Segmented Mirror of the Thirty Meter Telescope," Control Systems Technology, IEEE Transactions on , vol.22, no.1, pp.58,68, Jan. 2014 doi: 10.1109/TCST.2013.2240456
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43604
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:31 Jan 2014 18:12
Last Modified:14 Sep 2015 22:25

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