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Computational Methods in Earthquake Engineering pp 331–356Cite as

Uncertainty Modeling and Robust Control for Smart Structures

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 21))

Abstract

In this work a robust control problem for smart beams is studied. First the structural uncertainties of basic physical parameters are considered in the model of a composite beam with piezoelectric sensors and actuators subjected to wind-type loading. The control mechanism is introduced and is designed with the purpose to keep the bean in equilibrium in the event of external wind disturbances and in the presence of mode inaccuracies using the available measurement and control under limits. For this model we considered the analysis and synthesis of a H ∞ -controller with the aim to guarantee the robustness with respect to parametric uncertainties of the beam and of external loads. In addition a robust m-controller was analyzed and synthesized, using the D − K Iterative method. The results are compared and commented upon using the various controllers.

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Authors and Affiliations

  1. Department of Production Engineering and Management, Technical University of Crete, GR-73100, Chania, Greece

    A. Moutsopoulou, G. E. Stavroulakis & A. Pouliezos

Authors
  1. A. Moutsopoulou
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  2. G. E. Stavroulakis
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  3. A. Pouliezos
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Corresponding author

Correspondence to G. E. Stavroulakis .

Editor information

Editors and Affiliations

  1. Inst. Structural Analysis &, Seismic Research, National Technical Univ. Athen, Iroon Polytechniou Str. 9, Athens, 157 80, Greece

    Manolis Papadrakakis

  2. , Institute of Structural Analysis and Sei, National Technical University of Athens,, Iroon Polytechniou, Zagrafou Campus 9, Athens, 15780, Greece

    Michalis Fragiadakis

  3. National Technical University of Athens,, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Nikos D. Lagaros

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Moutsopoulou, A., Stavroulakis, G.E., Pouliezos, A. (2011). Uncertainty Modeling and Robust Control for Smart Structures. In: Papadrakakis, M., Fragiadakis, M., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0053-6_15

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  • DOI: https://doi.org/10.1007/978-94-007-0053-6_15

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0052-9

  • Online ISBN: 978-94-007-0053-6

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