On relative degree, chattering and fractal nature of parasitic dynamics in sliding mode control

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

With respect to relative degree and chattering in sliding mode (SM) control systems, the notion of fractal dynamics is introduced, and a conjecture is formulated that the character of parasitic dynamics of real control systems is fractal. A model of fractal dynamics is proposed. The characteristics of fractal dynamics are studied in the frequency and time domains. It is shown that with fractal parasitic dynamics SM control systems will always feature chattering and non-ideal closed-loop performance. An example of analysis is provided.

Original languageBritish English
Pages (from-to)1939-1952
Number of pages14
JournalJournal of the Franklin Institute
Volume351
Issue number4
DOIs
StatePublished - Apr 2014

Fingerprint

Dive into the research topics of 'On relative degree, chattering and fractal nature of parasitic dynamics in sliding mode control'. Together they form a unique fingerprint.

Cite this