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Distributed Modeling and Decentralized H∞ Control of a Segmented Telescope Mirror

[+] Author Affiliations
Daniel Kerley, Edward J. Park

University of Victoria, Victoria, BC, Canada

Jennifer Dunn

National Research Council of Canada, Victoria, BC, Canada

Paper No. IMECE2007-44145, pp. 423-430; 8 pages
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanical Systems and Control, Parts A, B, and C
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4303-3 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME


In this paper a distributed dynamic model for a segmented primary mirror of an optical telescope is presented, based on the distributed modeling framework for spatially interconnected systems. The next generation of optical telescopes will employ highly segmented primary mirrors, which leads to a large-scale control problem. The distributed modeling technique allows for the design of scalable decentralized controllers that are better suited for such systems. A numerical seven segment mirror surface model is used as the benchmark system for comparing the performance between a scalable decentralized H∞ controller and a global H∞ controller. The closed-loop control simulation results show that both controllers perform comparably for the benchmark case. However when the number of the segments increases significantly (e.g. > 100) the scalable decentralized control will allow for a more tractable solution than the monolithic global control.

Copyright © 2007 by ASME
Topics: Modeling , Mirrors



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