Computational Alternative to a Gain Setting Procedure of Brown and Campbell

[+] Author and Article Information
L. Kitis

Department of Mechanical Engineering, The University of Central Florida, Orlando, FL

J. Dyn. Sys., Meas., Control 112(3), 516-517 (Sep 01, 1990) (2 pages) doi:10.1115/1.2896174 History: Received August 01, 1986; Online March 17, 2008


A numerical method for setting the gain of a linear control system to obtain a specified peak closed-loop frequency response amplitude is presented. The essential computational step in the algorithm is the calculation of all positive roots of a polynomial. This step provides the set of all possible resonant frequencies. A gain constant for each of these frequencies is then found by a simple function evaluation. The possibility of multiple solutions is demonstrated by an example.

Copyright © 1990 by The American Society of Mechanical Engineers
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