Abstract:A parametric vibration system was transferred into a linear time invariant system by applying the Liapunov-Floquet transform. After resetting the pole-zeroes position in the system, an active control for parametric vibration system was obtained with the stable response. A coupling vibration example of aero plane wing and rotor in a turbine engine was given, and active control structure for parametric torsional vibration and the simulation result of stable system were illustrated.