文献类型：期刊文献

中文题名：非线性系统两变量P控制下的分支特性

英文题名：BIFURCATION CHARACTERISTICS OF NONLINEAR SYSTEM UNDER TWO-VARIABLE P CONTROL

作者：张彦[1];陈良恒[1]

机构：[1]华东化工学院联合化学反应工程研究所,上海200237

年份：1992

卷号：43

期号：2

起止页码：213

中文期刊名：化工学报

外文期刊名：CIESC Journal

收录：CSTPCD;;EI(收录号：1993011475873);Scopus;北大核心:【北大核心1992】；CSCD:【CSCD2011_2012】；

基金：国家自然科学基金资助项目

语种：中文

中文关键词：分支;非线性系统;P控制;数学模型

外文关键词：biiurcation, nonlinear system, P control

摘要：采用分支理论推导非线性系统两变量P控制下的分支特性,所导得的几个定理阐明了简单分支点和Hopf分支点的位置和性质.1个简化精馏塔模型用于演示这一过程,展示出精馏塔系统在闭环时可能出现多态.
This paper, reasons the bifurcation characteristics of a nonlinear process system under P control with each mode of controller as bifurcation parameter. The locations and properties of simple bifurcation and Hopf biiurcation points are presented by using a few theorems thus derived. Numerical routines initiated by local bifurcation analysis are given to trace all solution branches in the gain space and to locate the region in which the set-point is globally stable. The bifurcation characteristics of a simplified distillation model with two variables and two loops under P control is revealed by numerical simulation with the above theorems. The distillation system may show multiplicity for closed-loop.