Using bifurcation diagrams for controlling chaos

In this chapter, a methodology to compute chaos controllers based on bifurcation diagrams is proposed and applied to PWM-controlled power converters. The technique is based on an adaptive control where the offset of the T -periodic sawtooth signal is modified. Basically, the sawtooth is redefined as a function of the output and reference voltages. This control technique reduces the percentage of regulation error as well as eliminates orbits of period greater than one and the chaotic behavior when the voltage source is varied. Finally, numerical results are obtained to validate the performance of the proposed scheme.