Minimizing the Truncation Error in Assumed Modes Models of Structures-Reference-Cited by-同舟云学术

Minimizing the Truncation Error in Assumed Modes Models of Structures

Published:2000-03-01 Issue:3 Volume:122 Page:332-335
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Moheimani S. O. Reza¹,Clark Robert L.²

Affiliation:

1. Department of Electrical and Computer Engineering, University of Newcastle, NSW 2308, Australia

2. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708-0300

Abstract

The assumed modes approach is a widely used technique in modeling of distributed systems. Such models often consist of a large number of modes. For controller design purposes these models are simplified by truncating the modes that lie out of the bandwidth of interest. Truncation can alter zeros of the system. This paper presents a method of minimizing the truncation error by adding a second order term to the truncated model. This extra term is determined such that the in-bandwidth error is minimized in an optimal H2 sense. The technique is extended to multivariable systems. [S0739-3717(00)02003-1]

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/122/3/332/5825625/330_1.pdf

Reference8 articles.

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3. Alberts, T. E., and Colvin, J. A., 1991, “Observations on the nature of transfer functions for control of piezoelectric laminates,” J. Intell. Mater. Syst. Struct., 8, No. 5, pp. 605–611.

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5. Clark, R. L. , 1997, “Accounting for out-of-bandwidth modes in the assumed modes approach: Implications on colocated output feedback control,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 390–395.

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