Bifurcation control of nonlinear oscillator in primary and secondary resonance

IMR OpenIR

	Bifurcation control of nonlinear oscillator in primary and secondary resonance
其他题名	Bifurcation control of nonlinear oscillator in primary and secondary resonance
	Li Kean 1; Xiao Han 2; Cui Rongfan 3
	2007
发表期刊	JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
ISSN	1005-9784
卷号	14 期号:6 页码:826-831
摘要	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.
其他摘要	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.
关键词	CYCLES MODEL nonlinear oscillator saddle-node bifurcation feedback controller primary resonance secondary resonance gas turbine
收录类别	CSCD
语种	英语
CSCD记录号	CSCD:3179086
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/142298
专题	中国科学院金属研究所
作者单位	1.Hunan Institute Sci & Technol, Dept Mech & Elect Engn, Yueyang 414000, Peoples R China 2.湖南大学 3.中国科学院金属研究所
推荐引用方式 GB/T 7714	Li Kean,Xiao Han,Cui Rongfan. Bifurcation control of nonlinear oscillator in primary and secondary resonance[J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,2007,14(6):826-831.
APA	Li Kean,Xiao Han,&Cui Rongfan.(2007).Bifurcation control of nonlinear oscillator in primary and secondary resonance.JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,14(6),826-831.
MLA	Li Kean,et al."Bifurcation control of nonlinear oscillator in primary and secondary resonance".JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY 14.6(2007):826-831.