| Bifurcation control of nonlinear oscillator in primary and secondary resonance | |
| Alternative Title | Bifurcation control of nonlinear oscillator in primary and secondary resonance |
| Li Kean1; Xiao Han2; Cui Rongfan3 | |
| 2007 | |
| Source Publication | JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
 |
| ISSN | 1005-9784 |
| Volume | 14Issue:6Pages:826-831 |
| 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. |
| Other 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. |
| Keyword | CYCLES MODEL nonlinear oscillator saddle-node bifurcation feedback controller primary resonance secondary resonance gas turbine |
| Indexed By | CSCD |
| Language | 英语 |
| CSCD ID | CSCD:3179086 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/142298 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 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 |
| Recommended Citation 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. |
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