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TECHNICAL PAPERS

Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model

[+] Author and Article Information
W. Chang, Senthil V. Gopinathan, V. V. Varadan, V. K. Varadan

Research Center for the Engineering of Electronic & Acoustic Materials, The Pennsylvania State University, University Park, PA 16802

J. Vib. Acoust 124(2), 265-276 (Mar 26, 2002) (12 pages) doi:10.1115/1.1448319 History: Received May 01, 2000; Revised October 01, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Figures

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A flexible structure with piezoelectric actuators and sensors under acoustic disturbance
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Block diagram of an active structure Par(s) perturbed by additive uncertainty Δad and uncertainty weight factors Wad1 and Wad2
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Block diagram of a active structure Par(s) perturbed by multiplicative uncertainty Δm
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Block diagram of an interconnection model perturbed by structured uncertainty Δst
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Block diagram of the uncertainty perturbed three-ported interconnection model
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An active panel with collocated piezoelectric sensors / actuators under camped boundary conditions
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Modal Hankel Singular Values (MHSV) of the first 50 resonance modes
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Maximum singular value of the uncontrolled 50-mode model σ̄[Pa(jω)] and of its reduced 7-mode model σ̄[Par(jω)] as a function of frequency
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Maximum singular value of the uncontrolled 50-mode model Pd(jω) and of its reduced 7-mode model Pdr(jω) as a function of frequency
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Performance function γpWp(jω) and robustness function γrWr(jω) as functions of frequency
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Maximum singular value of the parameterized transfer function of the control gain σ̄[G(jω)] as a function of frequency
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Maximum singular value of controlled 7-mode model σ̄[Sr(jω)Pdr(jω)] vs uncontrolled model σ̄[Pdr(jω)], and the desired performance |γpWp(jω|−1 as functions of frequency (Sr(jω)=(I−Par(jω)G(jω))−1)
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Maximum singular value of controlled 50-mode model σ̄[S(jω)Pd(jω)](S(jω)=(I−Pat(jω)G(jω))−1) that has resonance frequency uncertainties of (a) 0 percent, (b) 5 percent, (c) 10 percent and (d) 30 percent, in comparison with the uncontrolled 50-mode model Pd(jω) as functions of frequency

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