You can specify the minimum and maximum value of the parameter separately for each assignment. This way, you have much better control over the parameter, e.g. when performing on stage.
To set the minimum value of the parameter, set the parameter to the desired minimum value, right-click the control and select Set Minimum from the context menu.
To set the maximum value of the parameter, set the parameter to the desired maximum value, right-click the control and select Set Maximum from the context menu.