Catastrophe Control of a Nonlinear Oscillator under Parametric Excitations

摘要：

The example of the roll motion of a biased ship in longitudinal waves is taken to determine the vibration solutions to the nonlinear oscillator by applying catastrophe and bifurcation theory in this paper. First, the catastrophe characteristic of the roll motion of a biased ship in longitudinal waves is proved by transforming the governing equation of the motion to butterfly catastrophe model. Then, the critical point of catastrophe occurrence is found by applying multiple time scale perturbation method and bifurcation analysis to the governing equation. Last, controller is designed to control the critical point in a stable area, which restricted the catastrophe phenomenon of the roll motion by simulation verification.

关键词： Catastrophe Control Oscillator Parametric Excitations

作者: Zengkun Qi Yuntao Han

作者单位: College of Engineering, Heilongjiang Bayi Agricultural University, Daqing 163319, China College of Automation, Harbin Engineering University, Harbin 150001, China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1399-1402

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）