引用本文:陈良恒, 曹蔚.非线性模型经P控制后的奇异性分析*[J].控制理论与应用,1989,6(1):22~28.[点击复制]
Chen Liangheng, Cao Wei.Singularity Characteristics of a Nonlinear System Under Conventional P Control[J].Control Theory and Technology,1989,6(1):22~28.[点击复制]
非线性模型经P控制后的奇异性分析*
Singularity Characteristics of a Nonlinear System Under Conventional P Control
摘要点击 982  全文点击 493  投稿时间:1987-08-27  修订日期:1988-05-10
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DOI编号  
  1989,6(1):22-28
中文关键词  
英文关键词  
基金项目  
作者单位
陈良恒, 曹蔚 华东化工学院联合化学反应工程研究所 
中文摘要
      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形分枝特性。此方法能减少计算工作量,亦能揭示设定点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。
英文摘要
      For a nonlinear system with three steady states, 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 operation. 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.