Finite-time stabilization of uncertain MIMO systems

Arie Levant*

*Corresponding author for this work

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


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 languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479977468
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: 15 Dec 201417 Dec 2014

Publication series

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


Conference2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/TerritoryUnited States
CityLos Angeles


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