An active damping driving control apparatus for supplying a driving signal to a controlled object (3, 7) and for performing active damping control on the controlled object (3, 7), the active damping driving control apparatus comprising: a driving signal generating section configured to generate a driving signal having a driving waveform corresponding to a driving operation required for the controlled object (3, 7), wherein the active damping driving control apparatus is configured to supply the controlled object (3, 7) with the driving signal processed by an adjustment function that converts the driving signal, the adjustment function includes processing of executing a simulation transfer function (G(s)) on the adjusted driving signal so that executing processing of the simulated transfer function on the adjusted driving signal results in a decrease of vibration of an output signal from the simulated transfer function, wherein the simulation transfer function (G(s)) simulates an actual transfer function (R(s)) indicative of an actual frequency characteristic of the controlled object (3, 7), the active damping driving control apparatus has a driving signal adjusting section configured to execute the processing of the adjustment function on the driving signal generated by the driving signal generating section, and the driving signal adjusting section has: a simulation transfer function processing section (G(s)) configured to execute the processing of the simulation transfer function (G(s)) on the driving signal, an inverse target transfer function processing section (K(s)) that subjects an output from the simulation transfer function processing section (G(s)) to processing of an inverse target transfer function (K(s)) corresponding to a reciprocal of the target transfer function, a subtraction processing section configured to calculate a difference between the driving signal and an output from the inverse target transfer function processing section (K(s)), a gain applying section configured to apply a gain (g) to an output from the subtraction processing section, an addition processing section configured to add an output from the gain applying section to the driving signal. a driving signal generating section configured to generate a driving signal having a driving waveform corresponding to a driving operation required for the controlled object (3, 7), wherein the active damping driving control apparatus is configured to supply the controlled object (3, 7) with the driving signal processed by an adjustment function that converts the driving signal, the adjustment function includes processing of executing a simulation transfer function (G(s)) on the adjusted driving signal so that executing processing of the simulated transfer function on the adjusted driving signal results in a decrease of vibration of an output signal from the simulated transfer function, wherein the simulation transfer function (G(s)) simulates an actual transfer function (R(s)) indicative of an actual frequency characteristic of the controlled object (3, 7), the active damping driving control apparatus has a driving signal adjusting section configured to execute the processing of the adjustment function on the driving signal generated by the driving signal generating section, and the driving signal adjusting section has: a simulation transfer function processing section (G(s)) configured to execute the processing of the simulation transfer function (G(s)) on the driving signal, an inverse target transfer function processing section (K(s)) that subjects an output from the simulation transfer function processing section (G(s)) to processing of an inverse target transfer function (K(s)) corresponding to a reciprocal of the target transfer function, a subtraction processing section configured to calculate a difference between a simulation transfer function processing section (G(s)) configured to execute the processing of the simulation transfer function (G(s)) on the driving signal, an inverse target transfer function processing section (K(s)) that subjects an output from the simulation transfer function processing section (G(s)) to processing of an inverse target transfer function (K(s)) corresponding to a reciprocal of the target transfer function, a subtraction processing section configured to calculate a difference between the driving signal and an output from the inverse target transfer function processing section (K(s)), a gain applying section configured to apply a gain (g) to an output from the subtraction processing section, an addition processing section configured to add an output from the gain applying section to the driving signal.