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Model Reduction of Linear Time-Varying Systems with Applications for Moving Loads

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Model Reduction of Parametrized Systems

Part of the book series: MS&A ((MS&A,volume 17))

Abstract

In this paper we consider different model reduction techniques for systems with moving loads. Due to the time-dependency of the input and output matrices, the application of time-varying projection matrices for the reduction offers new degrees of freedom, which also come along with some challenges. This paper deals with both, simple methods for the reduction of particular linear time-varying systems, as well as with a more advanced technique considering the emerging time derivatives.

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Acknowledgements

The authors would like to thank N. Lang, T. Stykel and J. Saak for kindly proving us the 1D heat transfer model used for the numerical example in Sect. 23.5.2. Furthermore, we thank the former and current members of our model order reduction lab (MORLAB) for the fruitful discussions.

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Authors and Affiliations

  1. Technical University of Munich, 85748, Garching, München, Germany

    M. Cruz Varona (Chair of Automatic Control) & B. Lohmann (Chair of Automatic Control)

Authors
  1. M. Cruz Varona
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  2. B. Lohmann
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Corresponding author

Correspondence to M. Cruz Varona .

Editor information

Editors and Affiliations

  1. Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

    Peter Benner

  2. Institute for Computational and Applied Mathematics, University of Münster , Münster, Germany

    Mario Ohlberger

  3. Massachusetts Institute of Technology, MIT , Cambridge, Massachusetts, USA

    Anthony Patera

  4. SISSA MathLab, International School for Adv. Studies , Trieste, Italy

    Gianluigi Rozza

  5. Institute of Numerical Mathematics, Ulm University , Ulm, Germany

    Karsten Urban

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Cruz Varona, M., Lohmann, B. (2017). Model Reduction of Linear Time-Varying Systems with Applications for Moving Loads. In: Benner, P., Ohlberger, M., Patera, A., Rozza, G., Urban, K. (eds) Model Reduction of Parametrized Systems. MS&A, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-58786-8_23

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