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| Joint input–output identification of unstable systems with kernel regularization |
| YusukeFujimoto1,ToshiharuSugie2 |
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| (1 Department of Environmental Engineering, the University of Kitakyushu, 1-1, Hibikino, Wakamatsu-ku, Kitakyushu 8080135, Fukuoka, Japan;2 Professor Emeritus, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 6068501, Kyoto, Japan) |
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| 摘要: |
| This paper discusses closed-loop identification of unstable systems. In particular, we first apply the joint input–output identification
method and then convert the identification problem of unstable systems into that of stable systems, which can be tackled
by using kernel-based regularization methods.We propose to identify two transfer functions by kernel regularization, the one
from the reference signal to the input, and the one from the reference signal to the output. Since these transfer functions are
stable, kernel regularization methods can construct their accurate models. Then the model of unstable system is constructed
by ratio of these functions. The effectiveness of the proposed method is demonstrated by a numerical example and a practical
experiment with a DC motor. |
| 关键词: Closed-loop identification · Kernel regularization · Joint input–output identification |
| DOI：https://doi.org/10.1007/s11768-024-00216-8 |
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| 基金项目:This work was supported by JSPS KAKENHI (Nos. 22K14281, 22H01653). |
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| Joint input–output identification of unstable systems with kernel regularization |
| Yusuke Fujimoto1,Toshiharu Sugie2 |
| (1 Department of Environmental Engineering, the University of Kitakyushu, 1-1, Hibikino, Wakamatsu-ku, Kitakyushu 8080135, Fukuoka, Japan;2 Professor Emeritus, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 6068501, Kyoto, Japan) |
| Abstract: |
| This paper discusses closed-loop identification of unstable systems. In particular, we first apply the joint input–output identification
method and then convert the identification problem of unstable systems into that of stable systems, which can be tackled
by using kernel-based regularization methods.We propose to identify two transfer functions by kernel regularization, the one
from the reference signal to the input, and the one from the reference signal to the output. Since these transfer functions are
stable, kernel regularization methods can construct their accurate models. Then the model of unstable system is constructed
by ratio of these functions. The effectiveness of the proposed method is demonstrated by a numerical example and a practical
experiment with a DC motor. |
| Key words: Closed-loop identification · Kernel regularization · Joint input–output identification |
