Physical Interpretation of Transfer Function Zeros for Simple Control Systems With Mechanical Flexibilities

[+] Author and Article Information
D. K. Miu

School of Engineering and Applied Science, University of California at Los Angeles, Los Angeles, Calif. 90024

J. Dyn. Sys., Meas., Control 113(3), 419-424 (Sep 01, 1991) (6 pages) doi:10.1115/1.2896426 History: Received May 03, 1990; Revised July 16, 1990; Online March 17, 2008


Physical interpretation of the transfer function zeros of simple control systems with mechanical flexibilities is presented. It is shown that for discrete spring-mass systems and elastic beams, the poles are the resonant frequencies of the flexible structure and the complex conjugate zeros are the resonant frequencies of a substructure constrained by the sensor and actuator. It is also shown that when the flexible control systems become nonminimum phase, the real zeros are the results of nonpropagation of energy within the substructure.

Copyright © 1991 by The American Society of Mechanical Engineers
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