文献类型：期刊文献

中文题名：非线性系统两变量控制下的分枝特性

英文题名：Bifurcation Characteristics of Nonlinear System under Two-Variable Control

作者：张彦[1];程民权[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

年份：1992

卷号：18

期号：1

起止页码：13

中文期刊名：华东化工学院学报

收录：国家哲学社会科学学术期刊数据库;Scopus;CSCD:【CSCD2011_2012】；

基金：国家自然科学基金项目 6864035

语种：中文

中文关键词：分枝;非线性系统;精馏;计算机模拟

外文关键词：bifurcation; nonlinear system; distillation; global stability; computer simulation

摘要：采用分枝理论推导非线性系统两变量P和PI控制下的分枝特性,所导得的几个定理阐明了简单分枝点和Hopf分枝点的位置和性质。一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,可能出现多态和极限环。
The global stability of nonlinear system is much difficult to determine. This paper applies bifurcation theory, reasons the bifurcation characteristics of nonlinear system under PI control through each mode of controller as bifurcation parameter. The location and property of the simple bifurcation and Hopf bifurcation point are displayed through a few theorems. Numerical routines initiated by the local bifurcation analysis are presented to trace all solution branches in the gain space and to locate the region in which the set-point is globally stable. The bifurcation charateristics of a simplified distillation model under two-varible and two-loop contol is revealed by numerical simulation of above theorems. The distillation system may appear the multiplicity and limit-cycle. The results have somewhat guiding significance for industrial distillation control.