Robust static output feedback sliding mode control design via an artificial stabilizing delay

Alexandre Seuret; Christopher Edwards; Sarah K. Spurgeon; E. M. Fridman

doi:10.3182/20080706-5-KR-1001.3067

Robust static output feedback sliding mode control design via an artificial stabilizing delay

Alexandre Seuret, Christopher Edwards, Sarah K. Spurgeon, E. M. Fridman

School of Electrical Engineering

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

2 Scopus citations

Abstract

It is well known that for uncertain linear systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilizable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.

Original language	English
Title of host publication	Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.3067
State	Published - 2008
Event	17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: 6 Jul 2008 → 11 Jul 2008

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	17
ISSN (Print)	1474-6670

Conference

Conference	17th World Congress, International Federation of Automatic Control, IFAC
Country/Territory	Korea, Republic of
City	Seoul
Period	6/07/08 → 11/07/08

Funding

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/D029937/1

Keywords

Delay systems
Output feedback control
Robust control

Access to Document

10.3182/20080706-5-KR-1001.3067

Cite this

Seuret, A., Edwards, C., Spurgeon, S. K., & Fridman, E. M. (2008). Robust static output feedback sliding mode control design via an artificial stabilizing delay. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.3067

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title = "Robust static output feedback sliding mode control design via an artificial stabilizing delay",

abstract = "It is well known that for uncertain linear systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilizable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.",

keywords = "Delay systems, Output feedback control, Robust control",

author = "Alexandre Seuret and Christopher Edwards and Spurgeon, {Sarah K.} and Fridman, {E. M.}",

note = "Funding Information: This work was supported by an EPSRC Platform Grant reference EP/D029937/1 entitled {\textquoteleft}Control of Complex Systems{\textquoteright}.; 17th World Congress, International Federation of Automatic Control, IFAC ; Conference date: 06-07-2008 Through 11-07-2008",

year = "2008",

doi = "10.3182/20080706-5-KR-1001.3067",

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Seuret, A, Edwards, C, Spurgeon, SK & Fridman, EM 2008, Robust static output feedback sliding mode control design via an artificial stabilizing delay. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 6/07/08. https://doi.org/10.3182/20080706-5-KR-1001.3067

Robust static output feedback sliding mode control design via an artificial stabilizing delay. / Seuret, Alexandre; Edwards, Christopher; Spurgeon, Sarah K. et al.
Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

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

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AB - It is well known that for uncertain linear systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilizable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.

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Robust static output feedback sliding mode control design via an artificial stabilizing delay

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