Introductory Control Systems

Below are a set of links to notes, examples, exercises, and equation sheets on elementary control systems. The topics covered are those typically covered in a first course in control systems in engineering curricula. Selected examples are included in the notes. Some schools also cover state-space methods. An introduction to state-space methods is provided at the end of the Notes section.

Reference: Dorf & Bishop, Modern Control Systems, 12th edition, Prentice-Hall, Inc, 2011

ME360Figure Roll Angle Control
Aircraft Roll Angle Control

Trademarks: MATLAB is a registered trademark of The MathWorks, Inc. The MathWorks does not warrant the accuracy of the examples given in these notes.


Introduction to Control Systems

  1. Introduction to Control Systems
  2. Control Systems Terminology

Proportional Control of the Position of a Spring-Mass-Damper System

  1. Position Control of Spring-Mass-Damper using Proportional Control
  2. Plotting a Step Response Using MATLAB

Control of Spring-Mass-Damper Position using PID Control

PID Control of a Spring-Mass-Damper Position

Implementation of PID Controllers using Operational Amplifiers

Implementation of PID Controllers in Electronic Circuits