Maglev system is nonlinear and unstable essentially. It is complicated to design a stable system, especially when the system is under largescale disturbance and parameter variance, which make the system lose stability and emanation easily. Theoretical analysis and experiments show that this phenomenon is due to the HOPF bifurcation in the mathematical model. This paper gives an adaptive control law, which adjusts PID control parameters of the nonlinear system according to the HOPF bifurcation. Through discrimination of the disturbance and object parameters, the controller adjusts the feedback coefficients to make the system far from the HOPF bifurcation point and maintain the stability of the magelv system. Simulation result by changing mass suddenly indicates that adjusting proportion gain parameter using this method can magnify the state stability range of the maglev system and reject the selfexcited vibration efficiently.
佘龙华,柳贵东,施晓红.磁悬浮系统的HOPF分岔自适应控制研究[J].动力学与控制学报,2006,4(1):54~58; She Longhua, Liu Guidong, Shi Xiaohong. Adaptive control of maglev system according to Hope bifurcation[J]. Journal of Dynamics and Control,2006,4(1):54-58.