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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Grahic Jump Location
A flexible structure with piezoelectric actuators and sensors under acoustic disturbance
Grahic Jump Location
Block diagram of an active structure Par(s) perturbed by additive uncertainty Δad and uncertainty weight factors Wad1 and Wad2
Grahic Jump Location
Block diagram of a active structure Par(s) perturbed by multiplicative uncertainty Δm
Grahic Jump Location
Block diagram of an interconnection model perturbed by structured uncertainty Δst
Grahic Jump Location
Block diagram of the uncertainty perturbed three-ported interconnection model
Grahic Jump Location
An active panel with collocated piezoelectric sensors / actuators under camped boundary conditions
Grahic Jump Location
Modal Hankel Singular Values (MHSV) of the first 50 resonance modes
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
Performance function γpWp(jω) and robustness function γrWr(jω) as functions of frequency
Grahic Jump Location
Maximum singular value of the parameterized transfer function of the control gain σ̄[G(jω)] as a function of frequency
Grahic Jump Location
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)
Grahic Jump Location
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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