文献类型：期刊文献

中文题名：非线性模型经P控制后的奇异性分析

英文题名：Singularity Characteristics of a Nonlinear System Under Conventional P Control

作者：陈良恒[1];曹蔚[1]

机构：[1]华东化工学院联合化学反应工厂研究所

年份：1989

卷号：6

期号：1

起止页码：22

中文期刊名：控制理论与应用

外文期刊名：Control Theory & Applications

收录：CSTPCD;;Scopus;北大核心:【北大核心1992】；CSCD:【CSCD2011_2012】；

基金：国家自然科学基金

语种：中文

中文关键词：非线性系统;音叉型分枝;奇导性理论

摘要：对于一类开环具有三个定态的非线性系统,应用三阶台劳级数近似表达式足以揭示经P控制后的闭环系统的奇异特性。特别当设定点是拐点时,闭环系统的定态解分支呈音叉型分枝特性。此方法能减少计算工作量,亦能揭示设定的误差所引起闭环系统定态解分枝的分裂现象。这样的简化模型有利于反应器的设计和调节。
For a nonlinear system with three steady slates, the third order Taylor expansion of original system is enough to reveal closed - loop singularity under P control. If setpoint has inflection point characteristics during open-loop operation, pitch fork singularity can be viewed during closed-loop oper-ation. Moreover, set-point error results in splitting phenomenon in closed-loop system. The technique and all the results in this paper are beneficial to controller design and regulation.