Analysis and control of fast scale bifurcation in series connected DC drive operating in continuous conduction mode

In this paper, the fast-scale or period doubling bifurcation in a chopper driven series connected DC motor operating in continuous conduction mode is analyzed and controlled. By employing the monodromy matrix approach, the system parameter values at which the nominal period-1 orbit loses stability is determined analytically. Then, by manipulation of the State Transition Matrix (STM) at the switching manifold of the unstable periodic orbit, we were able to control the onset of the fast-scale bifurcation and thus extend the system parameter range for nominal period-1 operation.