Control System Learning Platform

Understand theory and practice with our interactive simulator

Theory and Knowledge

Introduction to Control Systems

Control systems are used to command, direct, or regulate the behavior of other devices or systems. They can be open-loop or closed-loop (feedback) systems.

PID Control

PID Control (Proportional-Integral-Derivative Control) is one of the most widely used feedback control mechanisms in industrial and engineering applications.

System Response

System response characterizes how a system reacts to inputs over time. Common analyses include step response, impulse response, and frequency response.

First-Order System

A first-order system is one in which the highest power of \( s \) in the denominator of the transfer function defines the order of the system.

Second-Order System

A second-order system is a system whose dynamics can be described by a second-order differential equation.

Control Systems Simulator

First and Second Order System Analysis

This simulator models both first-order and second-order control systems. It allows users to interactively adjust key system parameters such as the time constant, damping ratio, and natural frequency. By modifying these parameters, you can observe how they influence the system's time-domain response, including aspects like rise time, settling time, and overshoot. This tool is ideal for visualizing and understanding the dynamic behavior of control systems under various conditions.

PID Control Analysis

This simulator models closed-loop feedback systems using a Proportional-Integral-Derivative (PID) Controller. It allows users to interactively adjust the proportional (Kp), Integral (Ki), and derivative (Kd) gains in real time. By modifying these parameters, you can observe how each term influences the transient and steady-state performance, impacting the rise time, peak overshoot, settling time and seady-state error. This tool is ideal for the experimentation of manual tuning methods, analysing loop stability and understanding how PID control balances responsiveness against oscillatory behaviour.