Higher order sliding: Collection of design tools

A. Levant*

*Corresponding author for this work

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

41 Scopus citations


A number of controllers named sliding algorithms of the orders 2 and 3 have been developed which add new significant possibilities to variable structure system design. The regular relay algorithm is considered as a first order controller. The controllers of the orders 2 and 3 preserve the main positive properties of the regular sliding modes. At the same time they feature bounded continuous control and guarantee precise constraint fulfillment within finite time. With discrete measurements these algorithms provide for sliding precision of their order with respect to the measurement time step. Exact robust differentiator design and aircraft pitch control are demonstrated.

Original languageEnglish
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426906
StatePublished - 8 Apr 1997
Externally publishedYes
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: 1 Jul 19974 Jul 1997

Publication series

NameECC 1997 - European Control Conference


Conference4th European Control Conference, ECC 1997


  • Nonlinear control
  • Uncertain systems
  • Variable structure


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