节点文献
Hopf分岔的非线性反馈控制
Nonlinear Feedback Control of Hopf Bifurcation
【摘要】 研究了非线性连续系统 Hopf分岔的非线性反馈控制方法 ,给出一类二阶参数变化的非线性系统产生 Hopf分岔的条件。主要阐述了用输入—状态线性化来消除分岔的非线性控制方法 ,使得当参变量无论怎样变化 ,系统始终都能保持在渐进稳定的平衡态。通过实例分析和仿真证实了该方法的有效性
【Abstract】 The feedback control method of the Hopf bifurcation in nonlinear continuous systems is studied,and the condition of Hopf bifurcation in a certain class of second order variable parameter nonlinear system is presented.It’s illustrated how Input State linearization method is used to eliminate bifurcation so that no matter how the parameters change the system could maintain asymptotic stable equilibrium state.The effectiveness of the method is verified by simulation and analysis of an example.
【关键词】 非线性系统;
Hopf分岔;
输入—状态线性化;
稳定性;
【Key words】 nonlinear system hopf bifurcation input state linearization stability;
【Key words】 nonlinear system hopf bifurcation input state linearization stability;
- 【文献出处】 石家庄铁道学院学报 ,Journal of Shijiazhuang Railway Institute , 编辑部邮箱 ,2002年01期
- 【分类号】O231.2
- 【下载频次】143