Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping

V. Sethi, M. A. Franchek, G. Song

    Research output: Contribution to journalArticlepeer-review

    37 Scopus citations

    Abstract

    This paper represents active multimodal vibration control of a flexible beam structure with piezoceramic (PZT) actuators and sensors using the loop shaping method. With surface-bonded PZT patch actuators and sensors, the flexible beam has both sensing and actuating capacities. Due to its flat auto spectrum in the specified frequency range, the Schroeder wave is used as an excitation signal for the non-parametric identification of the flexible beam structure. The identified open loop model is then used for the closed loop design by using the loop shaping method based on the extended sensitivity charts. A loop shaping compensator is designed to achieve multimodal vibration suppression. Numerical results showed a reduction of 8 decibels for the first mode and 12-14 decibels for the second and third modes. Experimental results closely match the simulation results. Furthermore, the results of loop shaping method are compared with those of the methods of linear quadratic regulator and pole-placement control, which are designed based on state space models via the parametric identification of the flexible beam. Comparisons show that the loop shaping method is easier to design since a parametric identification is not required and requires less control effort while maintaining the effectiveness in vibration suppression.

    Original languageEnglish (US)
    Pages (from-to)1994-2006
    Number of pages13
    JournalJVC/Journal of Vibration and Control
    Volume17
    Issue number13
    DOIs
    StatePublished - Nov 2011

    Keywords

    • Flexible structures
    • loop shaping control
    • multimodal control
    • piezoceramics
    • vibration suppression

    ASJC Scopus subject areas

    • Mechanical Engineering
    • Mechanics of Materials
    • General Materials Science
    • Aerospace Engineering
    • Automotive Engineering

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