PID Auto-Tuning Program

Resource Overview

PID auto-tuning program accepts inputs: num (numerator vector of the controlled object's transfer function), den (denominator vector of the controlled object's transfer function), time (simulation duration), interval (simulation time step). The program uses these parameters to simulate and analyze control system behavior for optimization.

Detailed Documentation

The PID auto-tuning program requires four key input parameters: num represents the numerator vector of the controlled object's transfer function, den specifies the denominator vector of the transfer function, time sets the total simulation duration, and interval defines the simulation time step. These parameters enable the program to perform control system simulations using numerical integration methods like Runge-Kutta or Euler integration. The algorithm typically implements Ziegler-Nichols or relay auto-tuning methods to analyze system response characteristics such as overshoot, settling time, and steady-state error. Through iterative simulation and performance evaluation, the program automatically adjusts PID gains (proportional, integral, derivative) to optimize control system performance while maintaining stability margins.