Continuous linear dynamic objects with lag in the control are considered. An unmeasurable disturbance is bounded and piecewise-continuous but otherwise arbitrary. Regulators are proposed in the form of a feedback from the observed output to the control, which minimize the maximum deviation of the output from the desired value after termination of the transient processes. The parameters of the control object may be unknown. In this case, the regulator is adapted to their values. The problem is solved by reducing the original continuous control objects to discrete ones.