On Transfer Function Zeros of General Colocated Control Systems With Mechanical Flexibilities

[+] Author and Article Information
Denny K. Miu

Department of Mechanical, Aerospace and Nuclear Engineering, University of California at Los Angeles, Los Angeles, CA 90024-1597

Bingen Yang

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

J. Dyn. Sys., Meas., Control 116(1), 151-154 (Mar 01, 1994) (4 pages) doi:10.1115/1.2900670 History: Received January 23, 1991; Online March 17, 2008


In our previous work, it was shown that for simple control systems with mechanical flexibilities such as spring-mass systems or uniform cross-section linear elastic beams, the complex conjugate transfer function zeros can be interpreted as the resonances of a sub-portion of the flexible structure with additional constraints imposed by the sensor and actuator. In this paper, the aforementioned intuitive physical observation is verified mathematically for general lumped and distributed parameter flexible control systems with colocated sensor/actuator.

Copyright © 1994 by The American Society of Mechanical Engineers
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