Model reduction for controller design for infinite-dimensional systems: theory and an example

@article{Opmeer2005ModelRF,
  title={Model reduction for controller design for infinite-dimensional systems: theory and an example},
  author={M. R. Opmeer and F. W. Wubs and S. van Mourik},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={2469-2474}
}
This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam. 
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