Nonlinear sliding mode observers for state and unknown input estimations

K. C. Veluvolu; Y. C. Soh

doi:10.1109/CDC.2007.4434592

Nonlinear sliding mode observers for state and unknown input estimations

K. C. Veluvolu
, Y. C. Soh

School of Electronics Engineering

Nanyang Technological University

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

7 Scopus citations

Abstract

Sliding mode observers (SMO) for nonlinear uncertain systems are discussed from the perspective of the observability of unknown inputs. The unknown inputs are assumed to be bounded and not necessarily Lipschitz, and do not require any matching condition. A new nonlinear transformation is proposed and it divides the original system into two interconnected subsystems. The existence of sliding mode observers completely relies on the observability of unknown inputs w.r.t. output measurements. The robust terms or switching terms are designed such that the unknown inputs are tracked by their robust terms and so can be reconstructed from the sliding mode. The conditions for asymptotic stability of estimation error dynamics have been derived, based on Lipschitz assumptions for nonlinear functions, via standard Lyapunov analysis.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4347-4352
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434592
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

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

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434592

Cite this

Veluvolu, K. C., & Soh, Y. C. (2007). Nonlinear sliding mode observers for state and unknown input estimations. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 4347-4352). Article 4434592 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434592

@inproceedings{fa4f51395aab456d951e5bc3bcff8185,

title = "Nonlinear sliding mode observers for state and unknown input estimations",

abstract = "Sliding mode observers (SMO) for nonlinear uncertain systems are discussed from the perspective of the observability of unknown inputs. The unknown inputs are assumed to be bounded and not necessarily Lipschitz, and do not require any matching condition. A new nonlinear transformation is proposed and it divides the original system into two interconnected subsystems. The existence of sliding mode observers completely relies on the observability of unknown inputs w.r.t. output measurements. The robust terms or switching terms are designed such that the unknown inputs are tracked by their robust terms and so can be reconstructed from the sliding mode. The conditions for asymptotic stability of estimation error dynamics have been derived, based on Lipschitz assumptions for nonlinear functions, via standard Lyapunov analysis.",

author = "Veluvolu, \{K. C.\} and Soh, \{Y. C.\}",

year = "2007",

doi = "10.1109/CDC.2007.4434592",

language = "English",

isbn = "1424414989",

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

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

pages = "4347--4352",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

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Veluvolu, KC & Soh, YC 2007, Nonlinear sliding mode observers for state and unknown input estimations. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434592, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4347-4352, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434592

Nonlinear sliding mode observers for state and unknown input estimations. / Veluvolu, K. C.; Soh, Y. C.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 4347-4352 4434592 (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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AU - Soh, Y. C.

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N2 - Sliding mode observers (SMO) for nonlinear uncertain systems are discussed from the perspective of the observability of unknown inputs. The unknown inputs are assumed to be bounded and not necessarily Lipschitz, and do not require any matching condition. A new nonlinear transformation is proposed and it divides the original system into two interconnected subsystems. The existence of sliding mode observers completely relies on the observability of unknown inputs w.r.t. output measurements. The robust terms or switching terms are designed such that the unknown inputs are tracked by their robust terms and so can be reconstructed from the sliding mode. The conditions for asymptotic stability of estimation error dynamics have been derived, based on Lipschitz assumptions for nonlinear functions, via standard Lyapunov analysis.

AB - Sliding mode observers (SMO) for nonlinear uncertain systems are discussed from the perspective of the observability of unknown inputs. The unknown inputs are assumed to be bounded and not necessarily Lipschitz, and do not require any matching condition. A new nonlinear transformation is proposed and it divides the original system into two interconnected subsystems. The existence of sliding mode observers completely relies on the observability of unknown inputs w.r.t. output measurements. The robust terms or switching terms are designed such that the unknown inputs are tracked by their robust terms and so can be reconstructed from the sliding mode. The conditions for asymptotic stability of estimation error dynamics have been derived, based on Lipschitz assumptions for nonlinear functions, via standard Lyapunov analysis.

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

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T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

Nonlinear sliding mode observers for state and unknown input estimations

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