Nonlinear control of a parametrically excited system subject to actuator saturation

In this paper, a control method that combines linear and nonlinear velocity feedback control is proposed to suppress the principal parametric resonance in a flexible cantilever beam structure. Linear-velocity feedback is employed for bifurcation control and cubic-velocity feedback is employed to suppress the high-amplitude vibration. Numerical simulation and experimental results show that combined bifurcation control and nonlinear feedback control can avoid actuator saturation and performs better than linear-velocity and cubic-velocity feedback control alone.