Non-parametric methods for L2-gain estimation using iterative experiments

@article{Wahlberg2010NonparametricMF,
  title={Non-parametric methods for L2-gain estimation using iterative experiments},
  author={Bo Wahlberg and M{\"a}rta Barenthin Syberg and H{\aa}kan Hjalmarsson},
  journal={Automatica},
  year={2010},
  volume={46},
  pages={1376-1381}
}
In this paper we develop non-parametric methods to estimate the L"2-gain (H"~-norm) of a linear dynamical system from iterative experiments. This work is mainly motivated by model error modeling, where the error dynamics are more complex than can be captured by a low order parametric model. The standard system identification approach to the gain estimation problem is to estimate a parametric model of the system, which is then used to calculate the gain. If it is possible to update the input… CONTINUE READING

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