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Introduction to Adaptive and Robust Active Vibration Control

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Adaptive and Robust Active Vibration Control

Part of the book series: Advances in Industrial Control ((AIC))

Abstract

The reasons for doing active vibration control are emphasized as well as the principles of the basic approaches. Feedback and feedforward vibration compensation approaches are discussed from a unified point of view. The high performance required in the presence of variability of the vibration characteristics leads to the use of robust and adaptive designs for active vibration control systems. The challenges related to these approaches are described.

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Notes

  1. 1.

    In these two examples the actuators are driven by a feedback controller, but in other cases the actuator can be driven by a feedforward compensator.

  2. 2.

    Light mechanical structures are characterized by multiple low damped vibration modes. These modes have to be damped since on the one hand they can become a source of vibration and on the other environmental disturbances can lead to inadmissible movements of the structure.

  3. 3.

    Both the controller and the plant to be controlled are stable.

  4. 4.

    The modulus margin is the minimum distance between the open-loop transfer function hodograph and the Nyquist point and is equal to the inverse of the maximum of the modulus of the sensitivity function [6].

  5. 5.

    For example, narrow-band disturbances can be rejected by feedback up to a certain number while keeping an acceptable profile for the output sensitivity function (at least 3 or 4—see [7] and Chap. 13). Sufficiently “narrow” finite-band disturbances can also be handled by feedback alone.

  6. 6.

    The source is located upstream with respect to the location where the residual force (acceleration) or noise is measured.

  7. 7.

    The resulting controller may be of high order and this raises the problem of controller order reduction, which will be discussed in Chap. 9.

  8. 8.

    The input sensitivity function is the transfer function between the disturbance p(t) and the control input u(t) (see Fig. 1.4).

  9. 9.

    This will be illustrated on the experimental platform that will be presented in Sect. 2.3.

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Authors and Affiliations

  1. Department of Automatic Control, GIPSA-LAB (Grenoble INP/CNRS/UJF/Stendhal), 11 rue des Mathématiques, Grenoble Campus, BP46, Saint Martin d’heres , F-38402, France

    Ioan Doré Landau

  2. IMS-lab (University of Bordeaux, Bordeaux INP, CNRS) UMR 5218, Talence , F-33405, France

    Tudor-Bogdan Airimitoaie

  3. Grenoble, France

    Abraham Castellanos-Silva

  4. Saint-Lazare, QC, Canada

    Aurelian Constantinescu

Authors
  1. Ioan Doré Landau
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  2. Tudor-Bogdan Airimitoaie
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  3. Abraham Castellanos-Silva
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  4. Aurelian Constantinescu
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Correspondence to Ioan Doré Landau .

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Landau, I.D., Airimitoaie, TB., Castellanos-Silva, A., Constantinescu, A. (2017). Introduction to Adaptive and Robust Active Vibration Control. In: Adaptive and Robust Active Vibration Control. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-41450-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-41450-8_1

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