分数阶Boost变换器的混沌控制研究

Research on chaos control of fractional-order Boost converter

基于电容电感均为分数阶的事实,对分数阶连续导通模式Boost变换器的非线性动力学特性进行分析,提出了基于优化参数共振微扰法的分数阶Boost变换器混沌控制策略。首先,采用预估-校正算法建立了峰值电流控制分数阶Boost变换器的预估-校正模型,通过分岔图详细分析了电路参数对变换器非线性动力学特性的影响。然后,采用优化参数共振微扰法对变换器进行混沌控制,推导了系统的稳定判据,计算了扰动信号的最优幅值与相位。最后,在MATLAB/Simulink中进行仿真实验。研究表明,选择合理的扰动信号,能够有效抑制变换器的混沌现象,使变换器由混沌回归稳定状态。与参数共振微扰法相比,优化后的控制策略提高了系统的鲁棒性。仿真结果验证了所提策略的有效性。

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.