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The response of a digital Zero Average Dynamics ZAD-controlled buck converter under the variation of its intrinsic parameters as well as the pulse-width modulation signal is studied in detail. The multiparameter analysis presented here leads to a complete knowledge of the different dynamical scenarios exhibited by the system. Numerical results indicate that the success of the ZAD-strategy is highly dependent on the parameter and pulse-width modulation PWM combinations. Experiments are included to validate the performance inside the so-called optimum region. Copyright © 2013 John Wiley & Sons, Ltd.

The first period-doubling bifurcation of a dc–dc buck converter controlled by a zero-average dynamic strategy is studied in detail. Owing to the saturation of the duty cycle, this bifurcation is followed by a border-collision bifurcation, which is the main mechanism to introduce instability and chaos in the circuit. The multiparameter analysis presented here leads to a complete knowledge of the relatioship between these two bifurcations. The results are obtained by using a frequency-domain approach for the study of period-two oscillations in maps. Copyright © 2010 John Wiley & Sons, Ltd. (The ∞-norm of a matrix A is defined as ∥A∥ = maxij|aij|. In particular, |aij|⩽∥A∥ for all i and j.)