Study on integrating process with dead time

Integrating process with dead time (IPDT) is one typical model for its widely existence in industrial processes. In terms of IPDT model, Modified Smith Predictor (MSP) and PID controller have been proposed to solve the problem. However, for different models, the convictive conclusion of performance comparison between the two schemes could not be obtained readily. In this paper, by using a time transformation, the parameters of IPDT model can be reduced from two to one, which greatly simplifies the study on the model of IPDT. Based on ISE criterion, one kind of optimal PID controller and MSP for IPDT are derived. Then the simplification method´s feasibility can be testified through the comparison. The transformation supplies a simple way to compare the control effects for different IPDT models. Simulation studies have shown that the transformation method proposed in this paper is feasible and effective to simplify the studies on IPDT model.