Finite-time stabilization of uncertain SISO systems

Arie Levant*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations


Any uncertain smooth single-input single-output dynamic system of the full relative degree can be locally finitetime stabilized at its equilibrium point by means of a standard continuous feedback. High-order sliding-mode approach is modified for this sake, and a list of continuous controllers is built depending only on the given relative degree n of the system output σ. Provided the relative degree is globally well-defined and the system growth rate is restricted, the global finite-time stabilization is possible. The asymptotic accuracies in the cases of discrete and noisy sampling are estimated. In particular, for any q > 0 the stabilization accuracy σ(i) = O(τn-i+q), i = 0, 1, ..., n - 1, is obtained, where τ is the sampling interval, and q is an arbitrarily chosen positive feedback parameter. Outputfeedback controllers are constructed. Computer simulation confirms the applicability of the approach.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424414989, 9781424414987
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

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


Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA

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