On fixed and finite time stability in sliding mode control

Arie Levant

doi:10.1109/CDC.2013.6760544

On fixed and finite time stability in sliding mode control

Arie Levant

School of Mathematical Sciences

Tel Aviv University

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

Abstract

Any finite-time convergent homogeneous slidingmode controller can be transformed into a fixed-time convergent one, featuring an upper bound of convergence time, which does not depend on initial conditions. Output feedback controller is optional. Continuity of the convergence time functions of homogeneous differential inclusions is studied. Feasibility of fixed-time-stable systems is considered.

Original language	English
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4260-4265
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760544
State	Published - 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: 10 Dec 2013 → 13 Dec 2013

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control

Conference

Conference	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	10/12/13 → 13/12/13

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2013.6760544

Cite this

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title = "On fixed and finite time stability in sliding mode control",

abstract = "Any finite-time convergent homogeneous slidingmode controller can be transformed into a fixed-time convergent one, featuring an upper bound of convergence time, which does not depend on initial conditions. Output feedback controller is optional. Continuity of the convergence time functions of homogeneous differential inclusions is studied. Feasibility of fixed-time-stable systems is considered.",

author = "Arie Levant",

year = "2013",

doi = "10.1109/CDC.2013.6760544",

language = "الإنجليزيّة",

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

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

pages = "4260--4265",

booktitle = "2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013",

address = "الولايات المتّحدة",

note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

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Levant, A 2013, On fixed and finite time stability in sliding mode control. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760544, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4260-4265, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 10/12/13. https://doi.org/10.1109/CDC.2013.6760544

On fixed and finite time stability in sliding mode control. / Levant, Arie.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 4260-4265 6760544 (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 - Levant, Arie

PY - 2013

Y1 - 2013

N2 - Any finite-time convergent homogeneous slidingmode controller can be transformed into a fixed-time convergent one, featuring an upper bound of convergence time, which does not depend on initial conditions. Output feedback controller is optional. Continuity of the convergence time functions of homogeneous differential inclusions is studied. Feasibility of fixed-time-stable systems is considered.

AB - Any finite-time convergent homogeneous slidingmode controller can be transformed into a fixed-time convergent one, featuring an upper bound of convergence time, which does not depend on initial conditions. Output feedback controller is optional. Continuity of the convergence time functions of homogeneous differential inclusions is studied. Feasibility of fixed-time-stable systems is considered.

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DO - 10.1109/CDC.2013.6760544

M3 - منشور من مؤتمر

SN - 9781467357173

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4260

EP - 4265

BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

Y2 - 10 December 2013 through 13 December 2013

ER -

On fixed and finite time stability in sliding mode control

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

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