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There are more chaos phenomena in Boost circuit, which make the system working in the unsteady state frequently. As the final control signal, the change of duty cycle reflects the stable operating characteristics of Boost circuit. Based on the continuous conduction mode (CCM) of Boost circuit, the duty cycle criterion of circuit stability is deduced, and the change characteristics of duty cycle are studied, the basic principle of resonant parameter perturbation control is analyzed in this paper. With the mathematical model of Boost circuit, the characteristics of resonant linear parameter perturbation modulation and sinusoidal parameter perturbation modulation are analyzed while the stability criterion is satisfied and dissatisfied, and it provides the feasible strategy and the method for Boost circuit stability design and control.

The Boost converter with wide range input voltage, operating at both stable section and unstable section, the chaos phenomenon makes the system work unsteadily. Based on continuous current conduction mode, the adjustment and stability control with small sinusoidal parameter perturbation for Boost converter are discussed. The transition process between stable state and unstable state for different perturbation amplitudes are analyzed in detail, the critical transition conditions between stable state and unstable state are deduced, and the stability conditions are also determined. It is shown by digital simulation that sinusoidal parameter perturbation can not only suppress the chaos phenomenon, but also cause the converter originally in steady state to turn into unsteady chaos state. The consistent and appropriate perturbation amplitude range can be selected for the wide range input voltage, so as to ensure the Boost converter to start, be adjusted and operate steadily and reliably.

The bifurcation and chaos should exist in Boost converter while the circuit stability conditions are not satisfied，and the stable state could not be gotten by its self control power. As a kind of OGY method without feedback，the parameter resonance can control the bifurcation and chaos in Boost converter. Based on current controlled Boost circuit，the regulating process and its control power are discussed with the reference value of inductor current as the resonant parameter，and the characteristic parameters in the stable state are also deduced in detail. The control power of parameter resonance with different resonant voltages and the stable characteristic parameters are analyzed for the bifurcation and chaos circuits，so as to realize the precise design of circuit parameters and ensure the Boost converter to work steadily and reliably.