Limit cycles in a digitally controlled buck converter

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.

[1]  D. Maksimovic,et al.  Modeling of Quantization Effects in Digitally Controlled DC–DC Converters , 2004, IEEE Transactions on Power Electronics.

[2]  Orla Feely,et al.  Limit Cycles in a MEMS Oscillator , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[3]  Seth R. Sanders,et al.  Quantization resolution and limit cycling in digitally controlled PWM converters , 2003 .

[4]  Xiaodong Liu,et al.  Recent developments in digital control strategies for DC/DC switching power converters , 2009, 2009 IEEE 6th International Power Electronics and Motion Control Conference.