This article is cited in 1 paper

Linear Systems

Bifurcation analysis of a pulse-width control system

O. O. Yanochkina, D. V. Titov

The Southwest State University, Kursk, 305040 Russia

Abstract: We study local bifurcations in a control system with pulse-width modulation of the first kind (PWM-1) whose state is described by a piecewise smooth mapping. It is shown that, in addition to classical bifurcations, the so-called border collision bifurcations, which have no analogs in smooth systems, are possible in pulsed systems. The main bifurcation transitions are described using a piecewise linear continuous mapping as a normal form.

Keywords: pulse-width modulation, piecewise smooth mapping, border collision bifurcation, normal form.

Presented by the member of Editorial Board: A. P. Krishchenko

Received: 31.12.2020
Revised: 08.10.2021
Accepted: 15.10.2021

DOI: 10.31857/S0005231022020040

 English version: Automation and Remote Control, 2022, 83:2, 204–213

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