"Intelligent" integral actions are studied for the control of linear systems with time delays. It is reported that when intelligent integral action is emploved, the control system shows better response characteristics in comparison with conventional integral schemes, and proves to be robust against parameter variations of the plant. Then based on computer simulations, a tuning map is provided for the design of the 2nd order plus delay time processes. Also, a design approach of applying intelligent integral action with a process model in the controller is investigated.