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Approximate robust output regulation of boundary control systems

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Approximate robust output regulation of boundary control systems. / Humaloja, Jukka Pekka; Kurula, Mikael; Paunonen, Lassi.

In: IEEE Transactions on Automatic Control, Vol. 64, No. 6, 06.2019, p. 2210-2223.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Humaloja, JP, Kurula, M & Paunonen, L 2019, 'Approximate robust output regulation of boundary control systems', IEEE Transactions on Automatic Control, vol. 64, no. 6, pp. 2210-2223. https://doi.org/10.1109/TAC.2018.2884676

APA

Humaloja, J. P., Kurula, M., & Paunonen, L. (2019). Approximate robust output regulation of boundary control systems. IEEE Transactions on Automatic Control, 64(6), 2210-2223. https://doi.org/10.1109/TAC.2018.2884676

Vancouver

Humaloja JP, Kurula M, Paunonen L. Approximate robust output regulation of boundary control systems. IEEE Transactions on Automatic Control. 2019 Jun;64(6):2210-2223. https://doi.org/10.1109/TAC.2018.2884676

Author

Humaloja, Jukka Pekka ; Kurula, Mikael ; Paunonen, Lassi. / Approximate robust output regulation of boundary control systems. In: IEEE Transactions on Automatic Control. 2019 ; Vol. 64, No. 6. pp. 2210-2223.

Bibtex - Download

@article{369dc96bbf15481589d882f6bdd3f02d,
title = "Approximate robust output regulation of boundary control systems",
abstract = "We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller for a plant with infinite-dimensional output space necessarily has infinite-dimensional state space. We proceed to formulate the approximate robust output regulation problem and present a finite-dimensional controller structure to solve it. Our main motivating example is a wave equation on a bounded multidimensional spatial domain with force control and velocity observation at the boundary. In order to illustrate the theoretical results, we construct an approximate robust controller for the wave equation on an annular domain and demonstrate its performance with numerical simulations.",
keywords = "Controlled wave equation, Distributed parameter systems, Linear systems, Robust control",
author = "Humaloja, {Jukka Pekka} and Mikael Kurula and Lassi Paunonen",
year = "2019",
month = "6",
doi = "10.1109/TAC.2018.2884676",
language = "English",
volume = "64",
pages = "2210--2223",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers",
number = "6",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Approximate robust output regulation of boundary control systems

AU - Humaloja, Jukka Pekka

AU - Kurula, Mikael

AU - Paunonen, Lassi

PY - 2019/6

Y1 - 2019/6

N2 - We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller for a plant with infinite-dimensional output space necessarily has infinite-dimensional state space. We proceed to formulate the approximate robust output regulation problem and present a finite-dimensional controller structure to solve it. Our main motivating example is a wave equation on a bounded multidimensional spatial domain with force control and velocity observation at the boundary. In order to illustrate the theoretical results, we construct an approximate robust controller for the wave equation on an annular domain and demonstrate its performance with numerical simulations.

AB - We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller for a plant with infinite-dimensional output space necessarily has infinite-dimensional state space. We proceed to formulate the approximate robust output regulation problem and present a finite-dimensional controller structure to solve it. Our main motivating example is a wave equation on a bounded multidimensional spatial domain with force control and velocity observation at the boundary. In order to illustrate the theoretical results, we construct an approximate robust controller for the wave equation on an annular domain and demonstrate its performance with numerical simulations.

KW - Controlled wave equation

KW - Distributed parameter systems

KW - Linear systems

KW - Robust control

U2 - 10.1109/TAC.2018.2884676

DO - 10.1109/TAC.2018.2884676

M3 - Article

VL - 64

SP - 2210

EP - 2223

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 6

ER -