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TECHNICAL BRIEFS

State-space Model Identification Using Input and Output Data With Steady State Values Zeroing Multiple Integrals of Output Error

[+] Author and Article Information
Manabu Kosaka

Department of Mechanical Engineering, Faculty of Science and Engineering,  Kin-Ki University, 3-4-1 Kowakae Higashiosaka, Osaka 577-8502, Japankosaka@mech.kindai.ac.jp

Hiroshi Uda, Eiichi Bamba

Department of Mechanical Engineering, Faculty of Science and Engineering,  Kin-Ki University, 3-4-1 Kowakae Higashiosaka, Osaka 577-8502, Japan

Hiroshi Shibata

Department of Mechanical Engineering,  Doshisha University, 1-3 Tatara Tsudani, Kyotanabe, Kyoto 610-0394, Japan

J. Dyn. Sys., Meas., Control 128(3), 746-749 (Sep 01, 2005) (4 pages) doi:10.1115/1.2238872 History: Received April 27, 2004; Revised September 01, 2005

This study proposes a new deterministic off-line identification method that obtains a state-space model using input and output data with steady state values. This method comprises of two methods: Zeroing the 0N-tuple integral values of the output error of single-input single-output transfer function model (Kosaka , 2004) and Ho-Kalman’s method (Zeiger and McEwen, 1974). Herein, we present a new method to derive a matrix similar to the Hankel matrix using multi-input and multi-output data with steady state values. State space matrices A, B, C, and D are derived from the matrix by the method shown in Zeiger and McEwen, 1974 and Longman and Juang, 1989. This method’s utility is that the derived state-space model is emphasized in the low frequency range under certain conditions. Its salient feature is that this method can identify use of step responses; consequently, it is suitable for linear mechanical system identification in which noise and vibration are unacceptable. Numerical simulations of multi-input multi-output system identification are illustrated.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Step responses (proposed method)

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Figure 2

Bode diagrams (proposed method)

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