GAO Zhiqiang,CHEN Hanbo,ZHOU Xuesong,MA Youjie
JOURNAL OF VIBRATION AND SHOCK. 2023, 42(2): 157-165.
Inverter is a strong nonlinear system, it generally has sophisticated nonlinear dynamical behaviors, for instance transcritical bifurcation, period doubling bifurcation, etc, it will greatly increased the harmonic component of the output current, decrease the efficiency rate of the convertor, make it oscillate and even collapse. At present, most of chaos control has the disadvantages of modeling difficulty, control effect is not obvious and stability is not strong. To solve this problem, a new chaos suppression method, namely improved cosine delay feedback control (ICDFC), is proposed. In this method, the difference value between the export variable of the controlled object and itself time delay of one period is first used as the feedback quantity, which then passes through the cosine function and feedback control parameters to obtain the controlling message, after that the controlling message is directly reaction on the controlled subject in feedback forms. In the meantime, establishing system’s stroboscopic mapping model, seeking the Jacobin matrices and balance points of the controlled object. At last, the restrictive conditions of the feedback controlling parameter is presented based on the July criterion. To illustrate the superiority of the suggested chaotic control method, a great deal of simulating experiments were unfolded, and compared with exponential delayed feedback control which proves that ICDFC can not only suppress the chaotic behavior of the inverter more effectively, but also largely increases system operational stable region.