High-order sliding-mode observer for linear systems with unknown inputs

Leonid Fridman; Arie Levant; Jorge Davila

doi:10.1109/VSS.2006.1644518

High-order sliding-mode observer for linear systems with unknown inputs

Leonid Fridman, Arie Levant, Jorge Davila

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

19 Scopus citations

Abstract

Extended sufficient conditions for the observation of linear time invariant systems with unknown inputs are formulated. A new observation scheme is proposed. An additional linear term ensuring global stability is included for this sake in the differentiation algorithm based on high-order slidingmodes. The global robust finite-time-convergent estimation of observable states and unknown inputs is obtained, exact in the absence of measurement noises. Under the detectability conditions the whole state is asymptotically estimated. The accuracy of the estimation in the presence of bounded deterministic Lebesgue-measurable noises and discrete sampling is worked out.

Original language	English
Title of host publication	Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
Pages	202-207
Number of pages	6
DOIs	https://doi.org/10.1109/VSS.2006.1644518
State	Published - 2006
Externally published	Yes
Event	2006 International Workshop on Variable Structure Systems, VSS'06 - Alghero, Italy Duration: 5 Jun 2006 → 7 Jun 2006

Publication series

Name	Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
Volume	2006

Conference

Conference	2006 International Workshop on Variable Structure Systems, VSS'06
Country/Territory	Italy
City	Alghero
Period	5/06/06 → 7/06/06

Access to Document

10.1109/VSS.2006.1644518

Cite this

Fridman, L., Levant, A., & Davila, J. (2006). High-order sliding-mode observer for linear systems with unknown inputs. In Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06 (pp. 202-207). Article 1644518 (Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06; Vol. 2006). https://doi.org/10.1109/VSS.2006.1644518

@inproceedings{5a1c86659a074991948f5625e0784ad6,

title = "High-order sliding-mode observer for linear systems with unknown inputs",

abstract = "Extended sufficient conditions for the observation of linear time invariant systems with unknown inputs are formulated. A new observation scheme is proposed. An additional linear term ensuring global stability is included for this sake in the differentiation algorithm based on high-order slidingmodes. The global robust finite-time-convergent estimation of observable states and unknown inputs is obtained, exact in the absence of measurement noises. Under the detectability conditions the whole state is asymptotically estimated. The accuracy of the estimation in the presence of bounded deterministic Lebesgue-measurable noises and discrete sampling is worked out.",

author = "Leonid Fridman and Arie Levant and Jorge Davila",

year = "2006",

doi = "10.1109/VSS.2006.1644518",

language = "Ingl{\'e}s",

isbn = "1424402085",

series = "Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06",

pages = "202--207",

booktitle = "Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06",

note = "2006 International Workshop on Variable Structure Systems, VSS'06 ; Conference date: 05-06-2006 Through 07-06-2006",

}

Fridman, L, Levant, A & Davila, J 2006, High-order sliding-mode observer for linear systems with unknown inputs. in Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06., 1644518, Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, vol. 2006, pp. 202-207, 2006 International Workshop on Variable Structure Systems, VSS'06, Alghero, Italy, 5/06/06. https://doi.org/10.1109/VSS.2006.1644518

High-order sliding-mode observer for linear systems with unknown inputs. / Fridman, Leonid; Levant, Arie; Davila, Jorge.
Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06. 2006. p. 202-207 1644518 (Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06; Vol. 2006).

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

TY - GEN

T1 - High-order sliding-mode observer for linear systems with unknown inputs

AU - Fridman, Leonid

AU - Levant, Arie

AU - Davila, Jorge

PY - 2006

Y1 - 2006

N2 - Extended sufficient conditions for the observation of linear time invariant systems with unknown inputs are formulated. A new observation scheme is proposed. An additional linear term ensuring global stability is included for this sake in the differentiation algorithm based on high-order slidingmodes. The global robust finite-time-convergent estimation of observable states and unknown inputs is obtained, exact in the absence of measurement noises. Under the detectability conditions the whole state is asymptotically estimated. The accuracy of the estimation in the presence of bounded deterministic Lebesgue-measurable noises and discrete sampling is worked out.

AB - Extended sufficient conditions for the observation of linear time invariant systems with unknown inputs are formulated. A new observation scheme is proposed. An additional linear term ensuring global stability is included for this sake in the differentiation algorithm based on high-order slidingmodes. The global robust finite-time-convergent estimation of observable states and unknown inputs is obtained, exact in the absence of measurement noises. Under the detectability conditions the whole state is asymptotically estimated. The accuracy of the estimation in the presence of bounded deterministic Lebesgue-measurable noises and discrete sampling is worked out.

UR - http://www.scopus.com/inward/record.url?scp=33845581007&partnerID=8YFLogxK

U2 - 10.1109/VSS.2006.1644518

DO - 10.1109/VSS.2006.1644518

M3 - Contribución a la conferencia

AN - SCOPUS:33845581007

SN - 1424402085

SN - 9781424402083

T3 - Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06

SP - 202

EP - 207

BT - Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06

T2 - 2006 International Workshop on Variable Structure Systems, VSS'06

Y2 - 5 June 2006 through 7 June 2006

ER -

High-order sliding-mode observer for linear systems with unknown inputs

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this