Chaotic and subharmonic oscillations in a DC–DC boost converter with PWM voltage–current hybrid controller and parallel MR load

This paper reports a pulse-width modulation voltage-mode- and current-mode-controlled DC–DC boost converter with parallel memristance and resistance loads. This circuit system has two distinct states, i.e., ON-state and OFF-state, which mainly depend on the outputs of a reset–set (RS) flip-flop that are subject to a voltage–current dual closed-loop controller and a T r -periodic modulation signal. Based on the mathematical model and analyses of the circuit system, it is found that there exist chaotic and subharmonic dynamics for given parameters when the triggering period T f of the RS flip-flop varies. To exhibit the existing nonlinear dynamics of the circuit system in NI Multisim, we also design a mixed-signal circuit to implement the reported system and the observed experimental results are consistent with the numerical results.