Computation of stabilizing PI-PD controllers

Abstract

The PI-PD controller structure provides an excellent four-parameter controller for control of integrating, unstable and resonant processes to set point changes while the conventional PID controller has limitations in controlling such systems. In this paper, a graphical method for the computation of all stabilizing PI-PD controllers is given. The proposed method is based on plotting the stability boundary locus, which is a locus dependent on the parameters of the controller and frequency, in the parameter plane. The stability boundary loci are first obtained in the ( , ) d f K K and ( , ) p i K K planes and thenit is shown that all the stabilizing values of the parameters of a PI-PD controller can be found. Computation of stabilizing PI-PD controllers which achieve user specified gain and phase margins is also studied. The method is used to design robust PI-PD controllers for control systems with parametric uncertainties. A design procedure for interval control systems is proposed. Examples are given to show the benefit of the method presented.

A Novel Modified Delay-Based Control Algorithm with an Experimental Application

“…Several modifications of the PID control scheme have been addressed in order to overcome the drawbacks [2,22,53]. A PI-PD control [4], which is one of the modified forms with four parameters controller, can provide better performance especially for controlling integrating, unstable, and resonant processes [3,4,60]. In PI-PD control, the transfer function of the PI controller affects both its poles and zeros; however, the PD controller affects only the poles.…”

Classical controller design techniques for fractional order case

“…Therefore the Lag-Lead compensator for the fractional order interval system G 2 (s) can be constructed using (37) and (39) in (28) …”

“…Two different controllers, which are obtained for different values of γ and ω c , have been used for step response simulation for the plant in (49). One of the con- The PID controllers obtained by the classical Åström-Hägglund method [39] and the ISTE optimization method which is studied in [40] for the same plant can be given respectively as follows,…”

Dynamic matrix control optimization based new PIPD type control for outlet temperature in a coke furnace

“…There have already been some results. Tan came up with a graphical method to calculate the parameters of PI-PD controller [18], however, this method relies on the graphics and cannot correct the parameters of PI-PD controller automatically. What's more, we must first obtain the parameters of PID controller [19] and then consider regulating the additional parameter β 1 , which is equal to the ratio between the proportional coefficient in the outer loop and the differential coefficient in the feedback loop, to obtain the last parameter of PI-PD.…”