PID×(n-2) stage PD cascade controller for SISO systems

Abstract

This paper presents a design technique for the two degree of freedom (2-DOF) control system using PID (Proportional-Integral-Derivative) x (n-2) stage PD as a cascade controller for the nfh order plant. It is intended to satisfy both transient and steady state response specifications based on the root locus approach. This controller can be used instead of a conventional PID controller to obtain better performance without relying upon any tuning methods. The overall system is approximated as a stable and robust second order system. The cascade controller gain can be adjusted to meet faster responses with a little or no overshoot. The simulation results show that the desired performances are achieved. The merit of this approach for the plant with uncertain parameters is also shown.

Discrete PIDx(n-2) Stage PD Cascade Controllers Proposed by Kitti

“…Note that if one (3-2=1) more zero is available, the total angle for the zeros can be shared to each by smaller degrees such that they are able to arbitrarily place in LHP with the desired specifications. By this reason, the "PIDÍ(n-2) stage PD cascade controller for SISO systems" (2) had been proposed by Kitti ; Associate Professor Dr. at KMITL.…”

PID×(<i>n</i>-2)/2 Stage PDA Cascade Robust Controllers

“…Therefore, the transfer function of the plant in this paper is assumed as (4) The delay element with small dead time, a -Ls, can be approximated by the Maclaurin series [4] in the following three terms (5) where L is the small dead time, -PL and -PL are a pair of complex conjugate poles and located on the left half of the splane.…”

Robust PID×(n-2) stage PD cascade controller

“…The transfer function of a class of nfh order plant should not include zeros, the poles of the plant should have negative real part. The PID x (12-2) stage PD cascade controller Gc(s) is again introduced [3]. This controller is more widely applied not only for the type 0 and type 1 plant, but it can be used for the type 2 plant, plant with a pair of complex conjugate poles and plant with small dead time as well.…”

“…This controller is more widely applied not only for the type 0 and type 1 plant, but it can be used for the type 2 plant, plant with a pair of complex conjugate poles and plant with small dead time as well. The design procedure is the same as stated in [3]. That is, of the two poles of Gc(s)Gp(s), one is located at the origin and the other is located nearest the origin; these are defined as significant poles.…”