Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 95, Issue 6, Pages 1668-1681Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2020.1868580
Keywords
Kernel-based learning; linear identification; continuous-time identification
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In this paper, a non-parametric approach to infer a continuous-time linear model from data is proposed, which automatically selects a proper structure of the transfer function and guarantees system stability. Through benchmark simulation examples, the proposed approach is shown to outperform state-of-the-art continuous-time methods, even in critical cases where short sequences of canonical input signals are used for model learning.
In many engineering applications, continuous-time models are preferred to discrete-time ones, in that they provide good physical insight and can be derived also from non-uniformly sampled data. However, for such models, model selection is a hard task if no prior physical knowledge is given. In this paper, we propose a non-parametric approach to infer a continuous-time linear model from data, by automatically selecting a proper structure of the transfer function and guaranteeing to preserve the system stability properties. By means of benchmark simulation examples, the proposed approach is shown to outperform state-of-the-art continuous-time methods, also in the critical case when short sequences of canonical input signals, like impulses or steps, are used for model learning.
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