Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems

Gyunghoon Park; Youngjun Joo; Hyungbo Shim

doi:10.1109/CDC.2014.7040076

Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems

Gyunghoon Park, Youngjun Joo, Hyungbo Shim

School of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

8 Scopus citations

Abstract

This paper presents a disturbance observer (DOB) for a class of linear systems which has the following features: 1) it recovers the nominal pre-designed time trajectory (approximately but arbitrarily closely) under plant uncertainties and disturbances, not only in the steady-state but also in the transient period; and moreover 2) it eliminates sinusoidal disturbances asymptotically (rather than approximately) by embedding the generating model of the disturbances into the DOB structure. In particular, we implement the embedding with reduced order compared to other DOB schemes, at the expense of complexity on the stability condition. Furthermore, a new design guideline is provided to cope with this condition under arbitrarily large (but bounded) plant uncertainties.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4404-4409
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7040076
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

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10.1109/CDC.2014.7040076

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Park, G., Joo, Y., & Shim, H. (2014). Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 4404-4409). Article 7040076 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7040076

Park, Gyunghoon ; Joo, Youngjun ; Shim, Hyungbo. / Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems. 53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 4404-4409 (Proceedings of the IEEE Conference on Decision and Control; February).

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title = "Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems",

abstract = "This paper presents a disturbance observer (DOB) for a class of linear systems which has the following features: 1) it recovers the nominal pre-designed time trajectory (approximately but arbitrarily closely) under plant uncertainties and disturbances, not only in the steady-state but also in the transient period; and moreover 2) it eliminates sinusoidal disturbances asymptotically (rather than approximately) by embedding the generating model of the disturbances into the DOB structure. In particular, we implement the embedding with reduced order compared to other DOB schemes, at the expense of complexity on the stability condition. Furthermore, a new design guideline is provided to cope with this condition under arbitrarily large (but bounded) plant uncertainties.",

author = "Gyunghoon Park and Youngjun Joo and Hyungbo Shim",

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year = "2014",

doi = "10.1109/CDC.2014.7040076",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Park, G, Joo, Y & Shim, H 2014, Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7040076, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 4404-4409, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7040076

Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems. / Park, Gyunghoon; Joo, Youngjun; Shim, Hyungbo.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4404-4409 7040076 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper presents a disturbance observer (DOB) for a class of linear systems which has the following features: 1) it recovers the nominal pre-designed time trajectory (approximately but arbitrarily closely) under plant uncertainties and disturbances, not only in the steady-state but also in the transient period; and moreover 2) it eliminates sinusoidal disturbances asymptotically (rather than approximately) by embedding the generating model of the disturbances into the DOB structure. In particular, we implement the embedding with reduced order compared to other DOB schemes, at the expense of complexity on the stability condition. Furthermore, a new design guideline is provided to cope with this condition under arbitrarily large (but bounded) plant uncertainties.

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Park G, Joo Y, Shim H. Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems. In 53rd IEEE Conference on Decision and Control,CDC 2014. February ed. Institute of Electrical and Electronics Engineers Inc. 2014. p. 4404-4409. 7040076. (Proceedings of the IEEE Conference on Decision and Control; February). doi: 10.1109/CDC.2014.7040076

Asymptotic rejection of sinusoidal disturbances with recovered nominal transient performance for uncertain linear systems

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