一种新型非线性PID控制器及其参数设计

方法简单、参数效率高是非线性PID控制器所期望的特征. 本文提出一种新的非线性PID控制器设计方法,并就其非线性函数的函数特点以及控制器参数选择问题进行了分析. 首先, 利用电容极间场强的作用原理提出了一种非线性函数构造方法, 并用来对常规PID控制器进行修正, 形成一种非线性PID控制器; 其次, 对非线性函数进行了分析, 指出了不同参数对非线性函数的影响; 最后, 利用T–无源的有关结论对这种非线性PID控制器的稳定性进行分析, 得到了这一非线性PID控制器的参数设计依据. 仿真实例表明了文中所提控制

Parameter selection for a new class of nonlinear PID controller

The preferred features for a nonlinear PID controller are its simplicity and effectiveness. To achieve these features, we propose a new class of nonlinear PID controller, analyze the nonlinear function characteristics and develop the method of parameter selection. Firstly, we put forward a method for constructing nonlinear functions based on the action principle of the electric field between two plates of a capacitor. This method is applied to modify the conventional PID controller to form a new class of nonlinear PID controller. Secondly, an analysis is given to the nonlinear function, revealing the relation between the function and its parameter. Thirdly, concepts of T-Passivity are employed to explore the stability of the nonlinear PID controller, and a guideline for the parameter selection of the nonlinear controller is given. Simulation shows the validities of the nonlinear PID controller and its parameter selection conclusion.