The Study of Numerical Simulation Based on Fuzzy PID Controller

This study aims to explore the application of an adaptive fuzzy PID (proportional integral differential) controller in system control. This controller combines the characteristics of fuzzy control and PID control and dynamically adjusts the parameters of the PID controller through a fuzzy inference mechanism to achieve adaptive adjustment of the system's dynamic characteristics. Firstly, by taking the control object of an industrial process as an example, the transfer function of the controlled object is determined to determine the initial parameters of the PID controller. Subsequently, a fuzzy inference module was introduced to adjust the proportional, integral, and differential coefficients of the PID controller through fuzzy rules based on the current state and error situation of the system. The simulation results show that, compared to traditional PID controllers, the adaptive fuzzy PID controller has achieved significant improvements in dynamic response speed and stability. Especially in the face of complex and rapidly changing control systems.