Modeling for control of an inflatable space reflector, the nonlinear 1-D case

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In this paper we develop a mathematical model of the dynamics for an inflatable space reflector, which can be used to design a controller for the shape of the inflatable structure. Inflatable structures have very nice properties, suitable for aerospace applications. We can construct e.g. a huge light weight reflector for a satellite which consumes very little space in the rocket because it can be inflated when the satellite is in the orbit. So with this technology we can build inflatable reflectors which are about 100 times bigger than solid ones. But to be useful for telescopes we have to actively control the surface of the inflatable to achieve the desired surface accuracy. The starting point of the control design is modeling for control, in the case port-Hamiltonian (pH) modeling. We will show how to derive a nonlinear infinite dimensional pH model of a 1-D Euler-Bernoulli beam with piezo actuation. In the future we will also focus on 2-D models.

Original languageEnglish
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control
Place of PublicationNEW YORK
PublisherUniversity of Groningen, Research Institute of Technology and Management
Number of pages6
ISBN (Print)978-1-4244-3124-3
Publication statusPublished - 2008
Event47th IEEE Conference on Decision and Control, Cancun, Mexico -
Duration: 9-Dec-200811-Dec-2008

Publication series

NameIEEE Conference on Decision and Control
ISSN (Print)0191-2216


Conference47th IEEE Conference on Decision and Control, Cancun, Mexico


  • Structural design
  • Satellite observatories
  • Two dimensional
  • Reflection
  • Inflatable structures
  • Surface accuracies
  • Space reflectors
  • Ph models
  • Modeling for controls
  • Light weights
  • Infinite dimensional
  • Euler-bernoulli beams
  • Control designs
  • 2-d models
  • 1-d case

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