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

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.