A PI-PD controller design for control of unstable and integrating processes

A model-based PI-PD controller design, where the PD feedback is used to change the poles of the plant transfer function to more desirable locations for control by a PI controller, is proposed. Several procedures for obtaining the parameters of the PI-PD controller are possible but one of the simplest approaches, which is used in this paper, is to employ integral squared time error standard forms as this enables the design to be completed using simple algebra. Also, an exact method for model extraction of some integrating processes which may or may not have a time delay is presented. The method is compared with several existing methods to control integrating processes and it is shown that the proposed method is superior to existing ones.