Bifurcation control of nonlinear oscillator in primary and secondary resonance

来源期刊：中南大学学报(英文版)2007年第6期

论文作者：李克安 萧寒 崔荣繁

文章页码：826 - 826

Key words：nonlinear oscillator; saddle-node bifurcation; feedback controller; primary resonance; secondary resonance; gas turbine

Abstract: A weakly nonlinear oscillator was modeled by a sort of differential equation, a saddle-node bifurcation was found in case of primary and secondary resonance. To control the jumping phenomena and the unstable region of the nonlinear oscillator, feedback controllers were designed. Bifurcation control equations were obtained by using the multiple scales method. And through the numerical analysis, good controller could be obtained by changing the feedback control gain. Then a feasible way of further research of saddle-node bifurcation was provided. Finally, an example shows that the feedback control method applied to the hanging bridge system of gas turbine is doable.

基金信息：the National Natural Science Foundation of China
the National High-Tech Research and Development Program of China