Computation of stabilizing PID gain regions based on the inverse Nyquist plot

被引：11

作者：

Fang, Bin ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

来源：

JOURNAL OF PROCESS CONTROL | 2010年 / 20卷 / 10期

关键词：

Inverse Nyquist plot; Generalization of the Hermite-Biehler; theorem; PID controller; Stabilizing gain regions; CONTROLLERS;

D O I：

10.1016/j.jprocont.2010.07.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

Based on the inverse Nyquist plot, a method is presented to determine the stabilizing PID gain regions for linear systems. It does not depend on the integral and the derivative parameters. The two stable conditions are derived from a generalization of the Hermite-Biehler theorem. Two kinds of key points can be obtained from the inverse Nyquist plot. The PID gain would be divided into several regions by abscissas of these key points. According to the number of intersection of the inverse Nyquist plot and the vertical line, the stabilizing PID gain regions can be determined. Examples are given to show the benefits of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1183 / 1187

页数：5

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