Modeling for control of an inflatable space reflector, the nonlinear 1-D case
Authors
T. Voss, J.M.A. Scherpen, P.R. Onck
Abstract
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 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.
Citation
- Journal: 2008 47th IEEE Conference on Decision and Control
- Year: 2008
- Volume:
- Issue:
- Pages: 1777–1782
- Publisher: IEEE
- DOI: 10.1109/cdc.2008.4739177
BibTeX
@inproceedings{Voss_2008,
title={{Modeling for control of an inflatable space reflector, the nonlinear 1-D case}},
DOI={10.1109/cdc.2008.4739177},
booktitle={{2008 47th IEEE Conference on Decision and Control}},
publisher={IEEE},
author={Voss, T. and Scherpen, J.M.A. and Onck, P.R.},
year={2008},
pages={1777--1782}
}
References
- Gossamer Spacecraft: Membrane And Inflatable Structures Technology For Space Applications. (2001) doi:10.2514/4.866616 – 10.2514/4.866616
- timoschenko, theory of elasticity. McGraw-HILL international editions (1970)
- vo�, structure preserving port-hamiltonian discretization of a 1-d inflatable space reflector. (0)
- van der schaft, the hamiltonian formulation of energy conserving physical systems with external ports. Archiv fu?r Elektronik und U?bertragungstechnik (1995)
- vinogradov, state-of-the-art developments in the field of electro active polymers. Materials Research Society Fall Meeting (2005)
- IEEE Standards Board (1987)
- macchelli, port hamiltonian systems. a unified approach for modeling and control finite and infinite dimensional physical systems, university of bologna. DEIS (2003)
- Macchelli, A., van der Schaft, A. J. & Melchiorri, C. Multi-variable port Hamiltonian model of piezoelectric material. 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566) vol. 1 897–902 – 10.1109/iros.2004.1389466
- vo�, Modeling for control of an inflatable space reflector the linear 1-D case MTNS (2008)
- Heckmann, A., Arnold, M. & VaculÍn, O. A Modal Multifield Approach for an Extended Flexible Body Description in Multibody Dynamics. Multibody System Dynamics vol. 13 299–322 (2005) – 10.1007/s11044-005-4085-3
- Golo, G., Talasila, V., van der Schaft, A. & Maschke, B. Hamiltonian discretization of boundary control systems. Automatica vol. 40 757–771 (2004) – 10.1016/j.automatica.2003.12.017