Controlling output variables via higher order sliding modes

A. Levant

doi:10.23919/ecc.1999.7099923

Controlling output variables via higher order sliding modes

A. Levant^*

^*Corresponding author for this work

Institute for Industrial Mathematics Israel

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

1 Scopus citations

Abstract

Featuring exactness and robustness, standard sliding mode may also cause the so-called chattering effect. Having hidden the switching in higher derivatives of output variables, higher order sliding modes preserve or generalize the main properties of standard sliding mode and remove the chattering effect. With finite convergence time, the presented controllers provide for full real-time control of the output variable if the relative degree of the dynamic system is known. Used together with recently developed real-time robust exact differentiators, these controllers actually need only measurements of the controlled output variable.

Original language	English
Title of host publication	European Control Conference, ECC 1999 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3798-3803
Number of pages	6
ISBN (Electronic)	9783952417355
DOIs	https://doi.org/10.23919/ecc.1999.7099923
State	Published - 24 Mar 2015
Externally published	Yes
Event	1999 European Control Conference, ECC 1999 - Karlsruhe, Germany Duration: 31 Aug 1999 → 3 Sep 1999

Publication series

Name	European Control Conference, ECC 1999 - Conference Proceedings

Conference

Conference	1999 European Control Conference, ECC 1999
Country/Territory	Germany
City	Karlsruhe
Period	31/08/99 → 3/09/99

Keywords

Nonlinear Control
Sliding Mode
Tracking

Access to Document

10.23919/ecc.1999.7099923

Cite this

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title = "Controlling output variables via higher order sliding modes",

abstract = "Featuring exactness and robustness, standard sliding mode may also cause the so-called chattering effect. Having hidden the switching in higher derivatives of output variables, higher order sliding modes preserve or generalize the main properties of standard sliding mode and remove the chattering effect. With finite convergence time, the presented controllers provide for full real-time control of the output variable if the relative degree of the dynamic system is known. Used together with recently developed real-time robust exact differentiators, these controllers actually need only measurements of the controlled output variable.",

keywords = "Nonlinear Control, Sliding Mode, Tracking",

author = "A. Levant",

note = "Publisher Copyright: {\textcopyright} 1999 EUCA.; 1999 European Control Conference, ECC 1999 ; Conference date: 31-08-1999 Through 03-09-1999",

year = "2015",

month = mar,

day = "24",

doi = "10.23919/ecc.1999.7099923",

language = "אנגלית",

series = "European Control Conference, ECC 1999 - Conference Proceedings",

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pages = "3798--3803",

booktitle = "European Control Conference, ECC 1999 - Conference Proceedings",

address = "ארצות הברית",

}

Levant, A 2015, Controlling output variables via higher order sliding modes. in European Control Conference, ECC 1999 - Conference Proceedings., 7099923, European Control Conference, ECC 1999 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 3798-3803, 1999 European Control Conference, ECC 1999, Karlsruhe, Germany, 31/08/99. https://doi.org/10.23919/ecc.1999.7099923

Controlling output variables via higher order sliding modes. / Levant, A.
European Control Conference, ECC 1999 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 3798-3803 7099923 (European Control Conference, ECC 1999 - Conference Proceedings).

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

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N2 - Featuring exactness and robustness, standard sliding mode may also cause the so-called chattering effect. Having hidden the switching in higher derivatives of output variables, higher order sliding modes preserve or generalize the main properties of standard sliding mode and remove the chattering effect. With finite convergence time, the presented controllers provide for full real-time control of the output variable if the relative degree of the dynamic system is known. Used together with recently developed real-time robust exact differentiators, these controllers actually need only measurements of the controlled output variable.

AB - Featuring exactness and robustness, standard sliding mode may also cause the so-called chattering effect. Having hidden the switching in higher derivatives of output variables, higher order sliding modes preserve or generalize the main properties of standard sliding mode and remove the chattering effect. With finite convergence time, the presented controllers provide for full real-time control of the output variable if the relative degree of the dynamic system is known. Used together with recently developed real-time robust exact differentiators, these controllers actually need only measurements of the controlled output variable.

KW - Nonlinear Control

KW - Sliding Mode

KW - Tracking

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PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1999 European Control Conference, ECC 1999

Y2 - 31 August 1999 through 3 September 1999

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Controlling output variables via higher order sliding modes

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