On the optional signal smoothing for the derivative controller element of the pulse-width step-down (buck) stabilizer and its effect to the duration of the transient process in the small

Abstract: It has been established that inclusion of the derivative element in a regulator improves the quality of transient processes and enhances the closed loop stability, although the derivative element will intensify disturbances as they change in time at an increasing rate. As a result, the output signal has to be additionally smoothed in output. This paper discusses the problem of finding the feedback factors for a PD regulator which would ensure the shortest transient processes in the small, given the integration of the output signal of the derivative element. The paper reviews three potential solutions of the problem based on the Poincare map models. The paper shows that if setting feedback factors with an accuracy of up to ten percent, one can shorten the transient process in the small to two periods of the buck converter by reducing disturbance by forty times.

Keywords: step-down stabilizer, multipliers, poincare map