Abstract:
We consider the problem of compensation for a multisinusoidal disturbance for a linear stationary system with a given nominal control law. We consider the general structure of a controller that lets one use arbitrary algorithms for identification of disturbance parameters satisfying certain assumptions. The proposed structure is based on the Youla–Kucera parametrization and lets one compensate for a disturbance while preserving nominal behavior of a control system with respect to the reference.
Keywords:
Youla–Kucera parametrization, compensating for disturbances, output control, identification of disturbance parameters.
This work was done with governmental financial support of leading Russian universities, the Russian President, grant no. 14.Y31.16.9281-NSh, and by the Ministry of Education and Science of Russian Federation, project no. 8.8885.2017/8.9.
Citation:
Jian Wang, S. V. Aranovskiy, A. A. Bobtsov, A. A. Pyrkin, “Compensating for a multisinusoidal disturbance based on Youla–Kucera parametrization”, Avtomat. i Telemekh., 2017, no. 9, 19–33; Autom. Remote Control, 78:9 (2017), 1559–1571
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\crossref{https://doi.org/10.1134/S0005117917090028}
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I. D. Landau, “On the use of youla-kucera parametrisation in adaptive active noise and vibration control - a review”, Int. J. Control, 93:2, SI (2020), 204–216
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I. B. Furtat, P. A. Gushchin, “A Control Algorithm for an Object with Delayed Input Signal Based on Subpredictors of the Controlled Variable and Disturbance”, Autom Remote Control, 80:2 (2019), 201
A. Peregudin, I. B. Furtat, “Optimal compensation of bounded external disturbances and measurement noises for nonlinear systems”, IFAC-PapersOnLine, 51:33 (2018), 7–11
M. A. Novoseltseva, S. G. Gutova, I. A. Kazakevich, 2018 International Russian Automation Conference (RusAutoCon), 2018, 1