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Active Vibration Control of Two Coupled Beams Using Descriptor System State Feedback

[+] Author Affiliations
Maximilian Manderla, Jan Schlake, Ulrich Konigorski

Technische Universität Darmstadt, Darmstadt, Germany

Paper No. DSCC2010-4134, pp. 583-590; 8 pages
doi:10.1115/DSCC2010-4134
From:
  • ASME 2010 Dynamic Systems and Control Conference
  • ASME 2010 Dynamic Systems and Control Conference, Volume 2
  • Cambridge, Massachusetts, USA, September 12–15, 2010
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4418-2 | eISBN: 978-0-7918-3884-6
  • Copyright © 2010 by ASME

abstract

Based on two stiffly-coupled beams a non-standard approach of modelling and control is introduced, which is based on a descriptor representation of the system. A differential-algebraic model of the mechanical system can be derived intuitively, which directly serves for feedback design. The main contribution of this work is the presentation of a suitable parametric control law in terms of the full set of descriptor states. It is based on a classical coupling control and explicitly shows all degrees of freedom for feedback design. Exemplarily, damping assignment for the two-beam system is performed and some numerical and experimental results are provided for validation.

Copyright © 2010 by ASME

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