New families of high-order sliding-mode controllers

Shihong Ding, Arie Levant, Shihua Li

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


Homogeneous sliding mode (SM) control is known to provide for finite-time-exact output regulation of uncertain systems with known relative degrees. Yet the corresponding universal homogeneous SM (HSM) controllers are typically constructed by special recursive procedures and have complicated form. New HSM controllers are based on a very simple polynomial homogeneous form. Lyapunov functions are provided for a significant part of controllers. Quasi-continuous versions of these controllers can be done arbitrarily smooth everywhere outside of the corresponding SM.

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479978861
StatePublished - 8 Feb 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference54th IEEE Conference on Decision and Control, CDC 2015


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