Abstract: This paper, reasons the bifurcation characteristics of a nonlinear process system under P control with each mode of controller as bifurcation parameter. The locations and properties of simple bifurcation and Hopf biiurcation points are presented by using a few theorems thus derived. Numerical routines initiated by local bifurcation analysis are given to trace all solution branches in the gain space and to locate the region in which the set-point is globally stable. The bifurcation characteristics of a simplified distillation model with two variables and two loops under P control is revealed by numerical simulation with the above theorems. The distillation system may show multiplicity for closed-loop.

摘要： 采用分支理论推导非线性系统两变量P控制下的分支特性,所导得的几个定理阐明了简单分支点和Hopf分支点的位置和性质.1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.