Research on chaos control of fractional-order Boost converter
Based on the fact that both inductance and capacitance are fractional-order,the nonlinear dynamic characteristics of fractional-order continuous conduction mode Boost converter are analyzed,a chaotic control strategy of fractional-order Boost converter based on optimized parametric resonance perturbation method is proposed.Firstly,by using the prediction-correction algorithm,the prediction-correction models of peak current controlled fractional-order Boost converter is established,and the influence of circuit parameters on the nonlinear dynamic characteristics of the converter is analyzed in detail by the bifurcation diagram.Then,the optimized parameter resonance perturbation method is used to control the chaos of the converter,the stability criterion of the system is derived,and the optimal amplitude and phase of the perturbation signal are calculated.Finally,the simulation experiment is done in the MATLAB/Simulink.The research results show that by choosing a reasonable perturbation signal,the chaos phenomenon in the converter can be effectively suppressed,and the converter can return to a stable state from chaos.Compared with parametric resonance perturbation method,the optimized control strategy improves the robustness of the system.Simulation results verify the effectiveness of the proposed strategy.
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