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Limit cycles in a digitally controlled buck converter

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3 Author(s)
Bradley, M. ; Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin, Dublin, Ireland ; Feely, O. ; Teplinsky, A.

We describe the mathematical model of a digitally controlled buck converter. This model is an autonomous discrete-time discontinuous piecewise-linear dynamical system in three dimensions. Investigating this system, we find its equilibrium points, describe the shape and size of possible limit cycles (i.e. stable periodic motions), and derive conditions for their existence and non-existence.

Published in:

Circuit Theory and Design (ECCTD), 2011 20th European Conference on

Date of Conference:

29-31 Aug. 2011