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RESEARCH PAPERS

Modeling and Design Implications of Noncollocated Control in Flexible Systems

[+] Author and Article Information
V. A. Spector

TRW Space and Defense, Redondo Beach, CA 90278; University of Southern California, Department of Mechanical Engineering, Los Angeles, CA 90089-1453

H. Flashner

University of Southern California, Department of Mechanical Engineering, Los Angeles, CA 90089-1453

J. Dyn. Sys., Meas., Control 112(2), 186-193 (Jun 01, 1990) (8 pages) doi:10.1115/1.2896125 History: Received November 17, 1987; Revised July 15, 1988; Online March 17, 2008

Abstract

In this paper we investigate generic properties of structural modeling pertinent to structural control, with emphasis on noncollocated systems. Analysis is performed on a representative example of a pinned-free Euler-Bernoulli beam with distributed sensors. Analysis in the wave number plane highlights the crucial qualitative characteristics common to all structural systems. High sensitivity of the transfer function zeros to errors in model parameters and sensor locations is demonstrated. The existence of finite right half plane zeros in noncollocated systems, along with this high sensitivity, further complicates noncollocated controls design. A numerical method for accurate computation of the transfer function zeros is proposed. Wiener-Hopf factorization is used to compute equivalent delay time, which is important in controls design.

Copyright © 1990 by The American Society of Mechanical Engineers
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