Analytical design for linear continuous integrator/time delay systems

Abstract

Abstract Smith predictor has been proved to be a useful scheme for stable processes with time delay. In this paper an analytical design method of Smith predictor is presented for integrator/time delay processes based on the theory of complex function. The design procedure incorporates a two-stage procedure. In the first stage, the controller that stabilizes the closed loop system is parameterized. In the second stage, high enough order Pade approximation is introduced to approximate the time delay, and convert the design problem of system with time delay to that of system without time delay. The optimal Smith predictor is then derived analytically. Examples are given to illustrate the method.