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Structural Analysis for the Design of Reliable Controllers and State Estimators for Uncertain Dynamical Systems

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Progress in Industrial Mathematics at ECMI 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 17))

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Abstract

The task of designing feedforward control strategies for finite-dimensional systems in such a way that the output variables match predefined trajectories can be formulated in terms of an initial value problem (IVP) for a set of differential-algebraic equations (DAEs). The same holds for the reconstruction of internal variables and parameters on the basis of measured data. In this contribution, we discuss criteria for the solvability of both DAE problems and their relations to controllability and observability of dynamical systems. The practical applicability of this type of problem formulation is demonstrated by numerical results.

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References

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Author information

Authors and Affiliations

  1. Chair of Mechatronics, University of Rostock, D-18059, Rostock, Germany

    Andreas Rauh & Harald Aschemann

Authors
  1. Andreas Rauh
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  2. Harald Aschemann
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Corresponding author

Correspondence to Andreas Rauh .

Editor information

Editors and Affiliations

  1. Applied Math. and Numerical Analysis, University of Wuppertal, Gaußstr. 20, Wuppertal, 42119, Germany

    Michael Günther

  2. Applied Math. and Numerical Analysis, University of Wuppertal, Gaußstrasse 20, Wuppertal, 42119, Germany

    Andreas Bartel

  3. Corporate Research and Advance Engineeri, Robert Bosch GmbH, Robert-Bosch-Platz 1, Stuttgart, 70839, Germany

    Markus Brunk

  4. Applied Math. and Numerical Analysis, University of Wuppertal, Gaußstrasse 20, Wuppertal, 42119, Germany

    Sebastian Schöps

  5. Applied Math. and Numerical Analysis, University of Wuppertal, Gaußstrasse 20, Wuppertal, 42119, Germany

    Michael Striebel

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Rauh, A., Aschemann, H. (2012). Structural Analysis for the Design of Reliable Controllers and State Estimators for Uncertain Dynamical Systems. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_31

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