When a variable valve lift control apparatus is in a steady condition, a
fluctuation control is performed. In the fluctuation control, a target
lift amount is increased by a fluctuation width during an up-time and
then the target lift amount is decreased by the fluctuation width during
a down-time which is longer than the up-time to be returned to an
original value. A decreasing amount of the integral term is greater than
the increasing amount thereof. Consequently, the integral term can be
made smaller than the original value. Even when a control duty is a
larger value due to a hysteresis, the fluctuation control gradually
decreases the increment of the integral term and converges the control
duty to the small value.