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] |
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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 1077 全文点击 530 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 |
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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. |
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