Finite-time stabilization of uncertain MIMO systems

Arie Levant

doi:10.1109/CDC.2014.7040130

Finite-time stabilization of uncertain MIMO systems

Arie Levant^*

^*Corresponding author for this work

School of Mathematical Sciences

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

4 Scopus citations

Abstract

Any uncertain smooth multi-input multi-output dynamic system of a full relative degree can be locally finitetime stabilized at its equilibrium point by means of a standard continuous feedback, provided an approximation of the partial-derivatives' matrix of highest order total output derivatives with respect to controls is available. Homogeneous sliding-mode approach is modified for this sake, and a list of controllers is built. Global finite-time stabilization is possible with a prescribed convergence-time function. The asymptotic output stabilization accuracies in the cases of discrete and noisy sampling can be adjusted in advance. Output-feedback controllers are constructed. Computer simulation confirms the applicability of the approach.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4753-4758
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7040130
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

Access to Document

10.1109/CDC.2014.7040130

Cite this

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title = "Finite-time stabilization of uncertain MIMO systems",

abstract = "Any uncertain smooth multi-input multi-output dynamic system of a full relative degree can be locally finitetime stabilized at its equilibrium point by means of a standard continuous feedback, provided an approximation of the partial-derivatives' matrix of highest order total output derivatives with respect to controls is available. Homogeneous sliding-mode approach is modified for this sake, and a list of controllers is built. Global finite-time stabilization is possible with a prescribed convergence-time function. The asymptotic output stabilization accuracies in the cases of discrete and noisy sampling can be adjusted in advance. Output-feedback controllers are constructed. Computer simulation confirms the applicability of the approach.",

author = "Arie Levant",

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doi = "10.1109/CDC.2014.7040130",

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Levant, A 2014, Finite-time stabilization of uncertain MIMO systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7040130, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 4753-4758, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7040130

Finite-time stabilization of uncertain MIMO systems. / Levant, Arie.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4753-4758 7040130 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

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

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Finite-time stabilization of uncertain MIMO systems

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