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 experimenta lly in a dc-dc boost switching regulator. After undergoing a Neimark-Sacker bifurcation of a one-periodic orbit, quasi-periodic behavior is obtained a nd the corresponding attractor is a T-2 torus. Under parameter changes, suc h torus may breakdown to give chaotic behavior. Two different scenarios are possible for the destruction of the torus. One is obtained by means of per iod doubling of a phase-locking orbit while the other is achieved by lossin g the torus smoothness. An approximated two-dimensional mapping is build-up to predict the nonlinear phenomena detected in this system.