Title :
On Fractal Nature of Parasitic Dynamics in Sliding Mode Control
Author_Institution :
MB Controls, Calgary
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.
Keywords :
closed loop systems; frequency-domain analysis; time-domain analysis; variable structure systems; feature chattering; fractal dynamics model; frequency domains; nonideal closed-loop performance; parasitic dynamics; real control systems; sliding mode control; time domains; Actuators; Cities and towns; Control systems; Electromagnetic analysis; Electromagnets; Fractals; Geometry; Samarium; Sliding mode control; Valves;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282223
