Border-collision bifurcation in closed automatic control systems with sinusoidal pulse-width modulation


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Abstract

The nonlinear dynamics of a closed automatic control system with sinusoidal pulse-width modulation is analyzed. As a result of the studies, maps of dynamic modes and bifurcation diagrams are constructed. New types of Border-collision bifurcations are discover. The concept of a design mode for systems of the considered class is introduced. The results of the work make it possible to extend the classification of Border-collision bifurcations.

About the authors

A. I. Andriyanov

Bryansk State Technical University

Author for correspondence.
Email: ahaos@mail.ru
Russian Federation, Institutskaya ul. 16, Bryansk, 241035

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