On the Teixeira singularity bifurcation in a DC–DC power electronic converter

Nonlinear Dynamics - The electronic circuit of a DC–DC boost power converter under a specific sliding mode control strategy is analyzed. This circuit is modeled as a discontinuous piecewise...     

Finite-time output feedback control for a class of second-order nonlinear systems with application to DC–DC buck converters

The problem of output feedback control for a class of second-order nonlinear systems is investigated in this paper. Using the techniques of finite-time control and finite-time convergent observer, an observer-based finite-time output feedback controller is proposed which can guarantee that the system’s state converges to the equilibrium in a finite time. As an application of the proposed theoretical results, the problem of finite-time control without current signal for the DC–DC buck converters is solved. Simulation results are given to demonstrate the effectiveness of the proposed method.     

Instability conditions for a class of switched linear systems with switching delays based on sampled-data analysis: applications to DC–DC converters

General instability (critical) conditions for a class of switched linear systems (such as DC–DC converters) with switching delays are derived. Many instability conditions for the systems with fixed/variable-switching frequency under various control schemes are also derived. The conditions also show the required ramp slopes to stabilize the converters. Some previously known instability conditions become special cases in this generalized framework. Given an arbitrary control scheme, a systematic procedure is proposed to derive the instability condition for that control scheme. Different control schemes (such as \(V^{2}\) control and voltage/current mode control, for example) are shown to have similar forms of instability conditions.     

Dynamical response of a pendulum driven horizontally by a DC motor with a slider–crank mechanism

Nonlinear Dynamics - The pendulum is excited horizontally by a system of a DC motor and a slider–crank mechanism. Mathematical modeling is realistic and based on experimental rig, taking into...