Modeling and Control of a Rotating Flexible Spacecraft: A Port-Hamiltonian Approach

Authors

Said Aoues, Flavio Luiz Cardoso-Ribeiro, Denis Matignon, Daniel Alazard

Abstract

In this brief, we develop a mathematical model of a flexible spacecraft system composed of a hub and two symmetrical beams using the port-Hamiltonian framework. This class of system has favorable properties, such as passivity for controller synthesis and stability analysis, where the global Hamiltonian plays the role of a Lyapunov function candidate. The spacecraft model is viewed as a power-conserving interconnection between an infinite (beam) and finite (hub) dimensional system. We show that the interconnection result has a port-Hamiltonian structure and is passive. The introduction of a nonlinear feedback term, which takes into account the beam’s flexibility, is developed using the control by an interconnection approach. The closed-loop stability is proven; then, through explicitly solving the partial differential equations of the system, asymptotic stability is obtained. Finally, the experimental results are carried out to assess the validity of the proposed design methodology.

Citation

• Journal: IEEE Transactions on Control Systems Technology
• Year: 2019
• Volume: 27
• Issue: 1
• Pages: 355–362
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tcst.2017.2771244

BibTeX

@article{Aoues_2019,
  title={{Modeling and Control of a Rotating Flexible Spacecraft: A Port-Hamiltonian Approach}},
  volume={27},
  ISSN={2374-0159},
  DOI={10.1109/tcst.2017.2771244},
  number={1},
  journal={IEEE Transactions on Control Systems Technology},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Aoues, Said and Cardoso-Ribeiro, Flavio Luiz and Matignon, Denis and Alazard, Daniel},
  year={2019},
  pages={355--362}
}

Download the bib file

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