Sensorless anti-control and synchronization of chaos of brushless DC motor driver

Anti-control and synchronization of period doubling and chaos is a method for bifurcation control. It can be used to detect the occurrence or periodic behavior of a bifurcation at the specified position to meet the requirements of brushless direct current (BLDCM). Antichaotic control can be implemented through the use of an external periodic term or constant. The study of the parametric singularities of brushless direct current (BLDCM) allows the identification of a complex bifurcation structure, namely the limit point (LP), the Hopf (H) and the Bogdanov-Takens (BT) bifurcations, the period-doubling bifurcation and path to chaos . By adjusting the control parameters of the controller, the period doubling bifurcation can be generated or suppressed at the specified position to realize the anti-control of period doubling and chaos bifurcation. Parametric singularities are analyzed using a variety of anti-control signals, including constant voltage, periodic square, sawtooth wave, triangle, etc. The simulation results show that adding constant or periodic factors improves chaos and anti-control effects.