| 非线性系统两变量控制下的分枝特性 |
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| 引用本文： | 张彦,程民权,陈良恒. 非线性系统两变量控制下的分枝特性[J]. 华东理工大学学报(自然科学版), 1992, 0(1) |
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| 作者姓名： | 张彦 程民权 陈良恒 |
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| 作者单位： | 华东化工学院联合化学反应工程研究所(张彦，程民权)，华东化工学院联合化学反应工程研究所(陈良恒) |
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| 基金项目： | 国家自然科学基金项目 6864035 |
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| 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。
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| 关 键 词： | 分枝 非线性系统 精馏 全局稳定性 计算机模拟 |
Bifurcation Characteristics of Nonlinear System under Two-Variable Control |
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| Zhang Yan,Cheng Minquan and Chen Liangheng. Bifurcation Characteristics of Nonlinear System under Two-Variable Control[J]. Journal of East China University of Science and Technology, 1992, 0(1) |
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| Authors: | Zhang Yan Cheng Minquan Chen Liangheng |
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| Affiliation: | UNILAB Research Center of Chemical Reaction Engineering |
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| Abstract: | 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. |
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| Keywords: | bifurcation nonlinear system distillation global stability computer simulation |
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