In a self-propelled construction machine (1), in particular road milling machine, recycler, stabilizer or surface miner, comprising a machine frame (4), at least two travelling devices (2), at least one hydraulic drive system (50) for driving at least two travelling devices (2), at least one working device, in particular a milling drum (6), for working the ground pavement (3), it is provided for the following features to be achieved: a detection device (44, 60, 62) is provided which detects fluctuations in the longitudinal speed (vact) of the construction machine (1) during movement of the construction machine (1), wherein a control unit (38) controls the hydraulic drive system (50) as a function of the detected fluctuations in such a fashion that the drive speed (vdrive) for driving the travelling devices (2) specified by means of the hydraulic drive system (50) is continuously adjusted so that the detected fluctuations are reduced or compensated for.
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