Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay

Eugenii Shustin; Leonid Fridman; Emilia Fridman; Fernando Castaños

doi:10.1109/CDC.2008.4738829

Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay

Eugenii Shustin^*, Leonid Fridman, Emilia Fridman, Fernando Castaños

^*Corresponding author for this work

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

Abstract

We present sufficient conditions for robust relay delayed semiglobal stabilization of second order systems, which relate the upper bound to an uncertain time delay and the parameters of the plant. We also suggest an algorithm of delayed relay control gain adaptation for semiglobal stabilization, which is based on delayed information about the sign of the controlled variable only. The proposed algorithm suppresses bounded uncertainties in the time delay, that is, being designed for the upper bound of uncertainty in the time delay, the control law ensures semiglobal stabilization independently of any variable time delay obeying the given upper bound.

Original language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2716-2721
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4738829
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008

Publication series

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

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	9/12/08 → 11/12/08

Access to Document

10.1109/CDC.2008.4738829

Cite this

Shustin, E., Fridman, L., Fridman, E., & Castaños, F. (2008). Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 2716-2721). Article 4738829 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4738829

Shustin, Eugenii ; Fridman, Leonid ; Fridman, Emilia et al. / Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. pp. 2716-2721 (Proceedings of the IEEE Conference on Decision and Control).

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title = "Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay",

abstract = "We present sufficient conditions for robust relay delayed semiglobal stabilization of second order systems, which relate the upper bound to an uncertain time delay and the parameters of the plant. We also suggest an algorithm of delayed relay control gain adaptation for semiglobal stabilization, which is based on delayed information about the sign of the controlled variable only. The proposed algorithm suppresses bounded uncertainties in the time delay, that is, being designed for the upper bound of uncertainty in the time delay, the control law ensures semiglobal stabilization independently of any variable time delay obeying the given upper bound.",

author = "Eugenii Shustin and Leonid Fridman and Emilia Fridman and Fernando Casta{\~n}os",

year = "2008",

doi = "10.1109/CDC.2008.4738829",

language = "אנגלית",

isbn = "9781424431243",

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

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2716--2721",

booktitle = "Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008",

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note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",

}

Shustin, E, Fridman, L, Fridman, E & Castaños, F 2008, Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4738829, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2716-2721, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 9/12/08. https://doi.org/10.1109/CDC.2008.4738829

Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. / Shustin, Eugenii; Fridman, Leonid; Fridman, Emilia et al.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 2716-2721 4738829 (Proceedings of the IEEE Conference on Decision and Control).

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

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Shustin E, Fridman L, Fridman E, Castaños F. Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 2716-2721. 4738829. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4738829

Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay

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