On Fractal Nature of Parasitic Dynamics in Sliding Mode Control | IEEE Conference Publication | IEEE Xplore

On Fractal Nature of Parasitic Dynamics in Sliding Mode Control


Abstract:

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...Show More

Abstract:

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.
Date of Conference: 09-13 July 2007
Date Added to IEEE Xplore: 30 July 2007
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Conference Location: New York, NY, USA

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