This paper presents, in a tutorial manner, nonlinear phenomena such as bifurcations and
chaotic behavior in DC–DC switching converters. Our purpose is to present the different …

Technical problems often lead to differential equations with piecewise-smooth right-hand
sides. Problems in mechanical engineering, for instance, violate the requirements of …

We propose a method of estimating the fast‐scale stability margin of dc–dc converters based
on Filippov's theory—originally developed for mechanical systems with impacts and stick …

Numerical studies of higher-dimensional piecewise-smooth systems have recently shown
how a torus can arise from a periodic cycle through a special type of border-collision …

Nonlinear phenomena in power electronic circuits are generally studied through discrete-
time maps. However, there exist very few circuit configurations (like, for example, the current …

This article focuses on analyzing the fast-scale stability in a peak current-mode-controlled
boost converter with a constant power load (CPL). Since with this kind of nonlinear loads the …

The purpose of this review is to provide a survey of some of the most important bifurcation
phenomena that one can observe in pulse-modulated converter systems when operating …

In this article, the H∞ filter design for discrete-time periodic piecewise systems with missing
measurements is studied. First, a Bernoulli process is used to characterize missing …

This paper presents a design-oriented analytical approach for predicting fast-scale instability
in power electronics converters under voltage-mode control strategy. This approach is …

A single-inductor two-input two-output power electronic dc–dc converter can be used to
regulate two generally nonsymmetric positive and negative outputs by means of a …