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Real-Time Optimization and Stabilization of Distributed Parameter Systems with Piezoelectric Elements

In: Online Optimization of Large Scale Systems

Author

Listed:
  • Karl-Heinz Hoffmann

    (Center of Advanced European Studies and Research, Stiftung caesar)

  • Nikolai D. Botkin

    (Center of Advanced European Studies and Research, Stiftung caesar)

Abstract

The investigation of this paper is related to the design of active real-time controls which provide the desired performance of flexible constructions subjected to varying disturbances. Physical controllers are piezoelectric elements that transform applied voltages into mechanical forces and moments. Control voltages are computed on the base of signals measured on piezoelectric sensors. The underlying structure is a thin plate or shell. The piezoelectric elements are either surface mounted or embedded within the structure. Conventional averaging procedures are used to eliminate the thickness in mathematical models. A homogenization procedure is used to reduce structures with large number of piezoelectric elements to the case of continuously distributed input or output signals.

Suggested Citation

  • Karl-Heinz Hoffmann & Nikolai D. Botkin, 2001. "Real-Time Optimization and Stabilization of Distributed Parameter Systems with Piezoelectric Elements," Springer Books, in: Martin Grötschel & Sven O. Krumke & Jörg Rambau (ed.), Online Optimization of Large Scale Systems, pages 205-228, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04331-8_14
    DOI: 10.1007/978-3-662-04331-8_14
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