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TECHNICAL PAPERS

On the Minimum Phase Property of Mass-Dashpot-Spring Sampled Systems

[+] Author and Article Information
Kuo-Chin Chan

Department of Engineering Science, National Cheng Kung University, Tainan 701, Taiwan, Republic of Chinan9888101@ccmail.ncku.edu.tw

Jong-Lick Lin1

Department of Engineering Science, National Cheng Kung University, Tainan 701, Taiwan, Republic Of Chinajllin@mail.ncku.edu.tw

1

Corresponding author.

J. Dyn. Sys., Meas., Control 127(4), 642-647 (Dec 14, 2004) (6 pages) doi:10.1115/1.2098877 History: Received January 12, 2004; Revised December 14, 2004

In literature, it is shown by Åström that a sampled system may become nonminimum phase for sufficiently fast sampling, even though the continuous-time system is minimum phase. However, it is verified in this paper that the sampled system of a modal damping mass-dashpot-spring structural dynamics with sufficient condition B=CTΓ is minimum phase independent of the sampling period. From a control point of view, this significant result is essential and beneficial to the digital controllers design for a large-scale structure. In addition, it also provides a criterion to locate the sensors and actuators of a structural system.

Copyright © 2005 by American Society of Mechanical Engineers
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