Analytic PIDA controller design technique for a third order system

In this paper a new analytical design technique for a proportional, integral, derivative and acceleration (PIDA) controller is presented to satisfy specifications for transient and steady state response of a third order control system. The PIDA controller values are analytically calculated by equating two characteristic equations: one is formed from desired root locations with specifications based on the design criteria, and another one is formed from the nominal control structure. Thus the calculation of values of the controller is so simple. The PIDA controller designs for different third order plant models are shown to illustrate the benefits of the proposed techniques. The proposed controller design techniques are also employed to show the practicality of the technique for controlling AC motor system models.