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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 branch theory is used to derive the branch characteristics under the control of two variables P and PI of the nonlinear system. Several theorems are derived to clarify the location and properties of simple branch points and Hopf branch points. A simplified distillation column model was used to demonstrate this process, showing polymorphic and limit cycles of the rectification column system when closed.