一种非线性PID控制器建模与仿真

文章叙述了传统PID模型的常见缺陷,针对非线性、不确定时滞对象,通过分析PID控制方法各环节在不同响应曲线时应有的变化趋势,提出一种非线性PID控制器模型,该控制器将传统PID的比例、积分和微分系数分别构造成关于误差信号的非线性函数,得到一个通用的非线性PID控制器模型。通过对二阶系统阶跃响应的数值仿真结果表明,所提出的非线性PID控制器比传统的PID控制器具有更好的动静态性能。

A Class of Nonlinear PID Controller Modeling and Simulation

In this article first discussing the defects of traditional PID model, aiming at nonlinear and uncertain time-delay objects, and analyzing the variation tendency of each PID section in different responsive curves. A nonlinear PID controller model was proposed. The controller used nonlinear proportional, nonlinear integral and nonlinear differential functions on error signal as proportional, integral and differential parameters of traditional PID controller. Finally a universal nonlinear PID controller model was established. The numerical simulation results of a second order system with step response show the superior performance of the nonlinear PID controller to a fixed gain PID controller.