Vibration manipulation function as general lifting function for discrete sampled-data tracking control of 1DOF oscillator

Intermittent lifting function, termed vibration manipulation function (VMF), is proposed as a general formula of inverse problem to manipulate a linear one-degree-of-freedom (1DOF) oscillator. Discrete sampled-data tracking control is realized by using the continuous intermittent feedforward control and discrete sampled-data feedback decided from previously determined discrete aimed states in every operating instant. Since VMF can be modified repeatedly from the discrete error deviation, we can minimize error deviation between discrete sampled output and discrete aimed value in order to make the system robust.