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A frequency-analytic methodology for controlling the amplitudes and stability of Neimark-Sacker bifurcations exhibited by discrete-time systems is presented. The proposed controller consists of a nonlinear static feedback law and a highpass filter used to preserve the dynamical behaviors of the system's equilibria. A simple example is included to illustrate the application of the method.

A nonlinear digital controller for improving the dynamical behavior of a buck converter operating in discontinuous conduction mode is presented. The aim is the extension of the operating range of the circuit, ameliorating the appearance of period-two orbits when the resistive load or the source voltage are varied. The controlled system is analyzed by using a frequency-domain technique. Numerical and experimental results are included to illustrate the performance of the system.