First Order Plus Dead Time (FOPDT) Model Approximation and Proportional-Integral-Derivative Controllers Tuning for Multi-Volume Process

Author:

Wang Jin1,Wu Xiancong1,Li Qiang1,Zhao Jian2

Affiliation:

1. College of Engineering, Hebei Normal University, Shijiazhuang 050000, Hebei, China

2. Beijing Sankuai Technology Co., Ltd, Beijing 100000, China

Abstract

Analysis and controller design for the FOPDT model is widely used because of its simpleness and convenience. In this paper, the problem of the multi-volume process (MVP) being approximated to first order plus dead time (FOPDT) model, as well as its proportional-integral-derivative (PID) controller arguments tuning is studied. These have been heavily studied in recent years and the methods developed for its optimal design rely on the idea of including several robust performance specifications in the objective function the method presents fast convergence and consists of mentioning a desired closed-loop transfer function. Particle swarm optimization (PSO) algorithm and performance index of the integral of the time-weighted absolute error (ITAE) minimum is presented to determine the approximate FOPDT model coefficients of MVP processes, where the order is from two to fifteen. In addition, the approximate FOPDT model is used to design the PID controller, which is used to control MVP. A large number of tuning methods are provided to analyze and compare the closed-loop control performances. At the end of the paper, two simulation examples illustrate the superiority and effectiveness of the PID controller design based on the proposed model reduction method. The simulation results show that the reduced-order controller can control a high-order system well, but the process of order reduction is complicated and it needs a long computation time. The FOPID is a generalization of the conventional PID controller. This is based on an extension calculus. A new method for approximating MVP to the FOPDT model is presented in this paper with more effectiveness.

Publisher

American Scientific Publishers

Subject

Electrical and Electronic Engineering,Electronic, Optical and Magnetic Materials

Reference29 articles.

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2. Comparative Analysis of FOPID and Classical Controller Performance for an Industrial MIMO Process

3. On an Initial Condition for a Reduced-Order Model Using a two-Step Iterative Method;Shoji,2002

4. Reduced-order process modeling in self-tuning control;Hang;Automatica,1991

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