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.