On fractal nature of parasitic dynamics in sliding mode control

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5 Scopus citations


The notion of fractal dynamics is introduced, and a conjecture is formulated that the character of parasitic dynamics of real control systems is fractal. This property is particularly important for sliding mode (SM) control systems. A model of fractal dynamics is proposed. The characteristics of fractal dynamics are studied in the frequency and time domains. It is shown that due to the fractal nature of parasitic dynamics SM control systems will always feature chattering and non-ideal closed-loop performance. An example of analysis is given.

Original languageBritish English
Title of host publicationProceedings of the 2007 American Control Conference, ACC
Number of pages6
StatePublished - 2007
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: 9 Jul 200713 Jul 2007

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2007 American Control Conference, ACC
Country/TerritoryUnited States
CityNew York, NY


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