Analysis of Second Order Sliding Mode Algorithms in the Frequency Domain

I. Boiko, M. I. Castellanos, L. Fridman

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

6 Scopus citations

Abstract

A frequency domain analysis of the second order sliding mode algorithms, particularly of the twisting algorithm is carried out with the use of the describing function and the locus of a perturbed relay system approach. It is shown that in the presence of an actuator, the transient process converges to a periodic motion. Parameters of this periodic motion are analyzed. A comparison of the periodic solutions in the systems with higher order sliding mode controllers and the oscillations that occur in classical sliding mode systems with actuators is done.

Original languageBritish English
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4575-4580
Number of pages6
ISBN (Print)0780379241
DOIs
StatePublished - 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: 9 Dec 200312 Dec 2003

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume5
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference42nd IEEE Conference on Decision and Control
Country/TerritoryUnited States
CityMaui, HI
Period9/12/0312/12/03

Keywords

  • Chattering
  • Relay control
  • Sliding mode
  • Variable structure systems

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