Quasi-periodic route to chaos in a PWM voltage-controlled DC-DC boost converter

A quasi-periodic route to chaos is studied both numerically and experimentally in a DC-DC boost switching regulator. After undergoing a Neimark-Sacker bifurcation of a one-periodic orbit, quasi-periodic behavior is obtained and the corresponding attractor is a T² torus, Under parameter changes, such a torus may breakdown to give chaotic behavior. Two different scenarios are possible for the destruction of the torus. One is obtained by means of period doubling of a phase-locking orbit while the other is achieved by losing the torus smoothness. An approximated two-dimensional mapping is built up to predict the nonlinear phenomena detected in this system