SUMMARYThe frequency-domain-based realization condition related to a novel non-invasive chaos control is presented in this paper. According to the common piecewise-linear characteristics of PWM-controlled DC-DC converter system, a general expression for its Jacobian matrix is derived for optimizing the control parameters of the proposed non-invasive chaos control. The relevant simulation and experiment results about the application of the chaos control to a voltage-mode Buck converter are given, which confirm the feasibility of the parameter-optimization method and the validity of the proposed non-invasive chaos control.

No abstract

Considering the TDFC controlled current-mode Buck converter featuring periodicity we propose a Fourierdecomposition based method for the bifurcation analysis of this system, hence the theoretical range of control gain of TDFC is determined. In addition, the power-stage experiment circuit is built and the control part is realized in a digital controller. The experimental results show that either bifurcation or chaos in the current-mode Buck converter can be controlled into the expectant period-1 orbit rapidly.

To realize the control of chaos in the voltage-mode BUCK converter, the output time-delayed feedback control (TDFC) is introduced into its control prototype. Based on the quantified analyses in the frequency domain, harmonic balance method is used to ascertain the regulating range of feedback control gain and delay time. Meanwhile the TDFC is equivalent to a kind of simple passive feedback control when the delay time is much smaller than the switch period. And the simulation results of these two methods are considered the same. In the end the experimental circuit of the voltage-mode BUCK converter with passive feedback control is set up. By this means the chaos state of BUCK converter can be quickly controlled into period state and the ripple of voltage and current will be decreased.