Design of Robust Vibration Controller for a Smart Panel Using Finite
Element Model
Author:
Chang W.1, Gopinathan Senthil V.1, Varadan V. V.1, Varadan V. K.2
Affiliation:
1. Research Center for the Engineering of Electronic & Acoustic Materials, The Pennsylvania State University, University Park, PA 16802 2. Research Center for the Engineering of Electronic & Acoustic Materials, The Pennsylvania State University, University Park PA 16802
Abstract
Abstract
This paper presents a model reduction method and uncertainty modeling for the design of a low-order H∞ robust controller for suppression of smart panel vibration. A smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition, and shell finite elements, and then the size of the model is reduced in the state space domain. A robust controller is designed not only to minimize the panel vibration excited by applied uniform acoustic pressure, but also to be reliable in real world applications. This paper introduces the idea of Modal Hankel Singular values (MHSV) to reduce the finite element model to a low-order state space model with minimum model reduction error. MHSV measures balanced controllability and observability of each resonance mode to deselect insignificant resonance modes. State space modeling of realistic control conditions are formulated in terms of uncertainty variables. These uncertainty variables include uncertainty in actuators and sensors performances, uncertainty in the knowledge of resonance frequencies of the structure, damping ratio, static stiffness, unmodeled high resonance vibration modes, etc. The simplified model and the uncertainty model are combined as an integrated state space model, and then implemented in the H∞ control theory for controller parameterization. The low-order robust controller is easy to implement in an analog circuit to provide a low cost solution in a variety of applications where cost may be a limiting factor.
Publisher
ASME International
Subject
General Engineering
Reference29 articles.
1. Nashif, A. D., Jones, D. I. G., and Henderson, J. P., 1985,
Vibration Damping, Wiley, New York. 2. Laudien, E., and Niesl, G., 1990, “Noise Level Reduction Inside
Helicopter Cabins,” Proceedings of the Sixteenth European Rotorcraft
Forum, Glasgow, UK, pp. 18–21. 3. Elliot, S. J., Stothers, I. M., and Nelson, P. A., 1987, “A Multiple
Error LMS Algorithm and Its Application to the Active Control of Sound and
Vibration,” IEEE Trans. Acoust., Speech, Signal Process., pp.
1423–1434. 4. Fuller, C. R., Silcox, R. J., Metcalf, V. L., and Brown, D. E. 1989,
“Experiments on Structural Control of Sound Transmission Through an Elastic
Plate,” Proceedings of American Control Conference, pp.
2079–2084. 5. Fuller, R. C., 1990, “Active Control of Sound Transmission/Radiation
from Elastic Plates by Vibration Inputs: I Analysis,” ASME J. Vibr. Acoust., pp.
1–15.
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