On Zeros of Discrete-Time Models for Collocated Mass-Damper-Spring Systems-Reference-Cited by-同舟云学术

On Zeros of Discrete-Time Models for Collocated Mass-Damper-Spring Systems

Published:2004-03-01 Issue:1 Volume:126 Page:205-210
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Ishitobi Mitsuaki¹,Liang Shan¹

Affiliation:

1. Department of Mechanical Engineering and Materials Science, Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555, Japan

Abstract

When a continuous-time system is discretized using the zero-order hold, there is no simple relation which shows how the zeros of the continuous-time system are transformed by sampling. In this paper, for a discrete-time model of a collocated mass-damper-spring system, the asymptotic behavior of the zeros is analyzed with respect to the sampling period and the linear approximate expressions are given. In addition, the linear approximate expressions lead to a sufficient condition for all the zeros of the discrete-time model to lie inside the unit circle for sufficiently small sampling periods. The sufficient condition is satisfied when a damping matrix is positive definite. Moreover, an example is shown to illustrate the validity of the linear approximations. Finally, a comment for a noncollocated system is presented.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/126/1/205/5780814/198_1.pdf

Reference21 articles.

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4. Williams, T. , 1989, “Transmission-Zero Bounds for Large Space Structures, with Applications,” J. Guid. Control Dyn., 12(1), pp. 33–38.

5. Miu, D. K., and Yang, B., 1994, “On Transfer Function Zeros of General Colocated Control Systems with Mechanical Flexibilities,” ASME J. Dyn. Syst., Meas., Control, 116(1), pp. 151–154.

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