基于Wash-Out-Filter方法控制非线性系统Hopf分岔

Hopf分岔往往导致系统的周期性振荡直至失稳,为此,基于wash-out-filter方法为非线性系统设计Hopf分岔状态反馈控制器.在保持平衡点不变的情况下,使得系统在期望的参数值处,将原来发生的亚临界Hopf分岔转化为超临界Hopf分岔,并保证系统在参数值范围内是渐近稳定的.分别以一维和二维非线性系统为例,仿真结果验证了所提方法的正确性和有效性.

Control Based on Wash-Out-Filter for Hopf Bifurcation of Nonlinear Systems

Hopf bifurcation frequently results in periodical oscillation even unstability.Therefore,based on wash-out-filter,a state feedback controller is designed for Hopf bifurcation of the nonlinear systems.With the equilibrium points remaining unchanged,the original subcritical Hopf bifurcation is transformed into supercritical one,which is thus ensured to be asymptotically stable in the range of expected parameters in controlled system.The 1-D and 2-D nonlinear systems are both exemplified to show the effectiven...