Frequency Domain Identification of Multi-Input, Multi-Output Systems Considering Physical Relationships between Measured Variables
Publication: Journal of Engineering Mechanics
Volume 131, Issue 5
Abstract
This paper presents a new frequency domain identification method for multi-input, multi-output (MIMO) systems. Based on experimentally determined frequency response function data, rational polynomial transfer function models of structural systems are identified. Known physical relationships between the measured variables are incorporated in this MIMO frequency domain identification method. The method has three stages: (1) an initial estimation model is generated using a linear least-squares method, (2) the Steiglitz–McBride method is applied to improve the initial estimation model, and (3) a maximum likelihood estimator is optimized using the Levenberg–Marquardt method. For verification of the method, two experimental studies are conducted using shaking table tests; one is the system identification of a smart base-isolated structure employing a magnetorheological (MR) damper, and the other is for an actively controlled two-story, bench-scale building employing an active mass driver. Using the developed method, system models of the experimental structures are estimated, and simulated time histories for the models are compared with measured responses. These comparisons demonstrate that the proposed method is quite effective and robust for system identification of MIMO systems. A graphic user interface program, named MFDID, has been developed to realize the suggested method.
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Acknowledgments
This work was supported in part by a postdoctoral fellowship to the first writer from Korea Science & Engineering Foundation (KOSEF) and by the National Science Foundation under Grant No. CMS 00-00234 (Dr. S. C. Liu, Program Director)
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Published In
Journal of Engineering Mechanics
Volume 131 • Issue 5 • May 2005
Pages: 461 - 472
Copyright
© 2005 ASCE.
History
Received: Sep 11, 2003
Accepted: May 3, 2004
Published online: May 1, 2005
Published in print: May 2005
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