Introduction to Control Systems for Engineers

Name: Introduction to Control Systems for Engineers
Rating: 4.1 (148 reviews)

An Introduction to BOTH classical and modern control with MATLAB.

Created byMichael Reynolds, PhD

Last updated 10/2022

English

What you'll learn

This course is designed for engineering students or engineers that want to learn more about the basics of control systems.

Course content

5 sections • 34 lectures • 22h 14m total length

Introduction - Time Response of 1st Order Systems46:52
Analyze the time response of first-order systems and second-order systems using transfer function and state-space models. Use MATLAB to explore step responses, poles, zeros, and stability concepts.
Second Order Systems and Higher Order Systems46:21
Understanding System Response and Using Block Diagrams49:27
Working with Block Diagrams - Block Diagram Reduction49:18

Using Feedback Control with just a simple gain K47:53
Controller Stability48:24
Routh Hurwitz and Steady-State Error45:09
Explore how Routh Hurwitz determines the gain range for stability in unity-feedback systems and how integral action via a free integrator eliminates steady-state error.
Steady-State Error50:22
Examine steady-state error in control systems by linking open-loop transfer functions, system type, and constants (position, velocity, acceleration) for step, ramp, and parabolic inputs under unity feedback.
Controller Sensitivity42:45
Explore controller sensitivity and robustness in unity-feedback control, analyze system type and steady-state error, and preview root locus as a design tool for controller tuning.

Lecture 10 Notes0:03
There is no video for Lecture 10 but the notes are here.
Intro to the Root Locus45:24
Sketch root locus by using real-axis tests, asymptote centers, and departure angles, then analyze breakaway points and imaginary-axis crossings to guide controller design (Matlab).
Root Locus Design (SEE ATTACHED EXAM 1 - SOLUTION IS GIVEN ON NEXT LECTURE)50:12
This contains Exam 1. I explain the solution to Exam 1 in Lecture 13.
Root Locus Design of a Proportional-Derivative (PD) Controller (EXAM 1 ANSWERS!)48:46
The solution to Exam 1 is included in the video.
Root Locus Design of a Proportional-Integral (PI) Controller49:49
PID Control using Root Locus50:21
Explore PID control using root locus with Matlab demonstrations, comparing off-the-shelf tuning to custom design, and learn pole-zero placement, cascade with the plant, and proper controller requirements.

Understanding Frequency Response43:59
Sketching Bode Plots50:31
Learning how to do hand sketching helps us understand frequency response and what it is telling us about the system.
Working with Bode Plots51:10
More with Bode Plots (notes only)0:03
Lead and Lag Controller Design51:32
Understanding Time Delay50:01
Understanding Stability in the Frequency Domain26:44
Review of Frequency Domain Topics (EXAM 2 HERE)27:05
This contains Exam 2. I show the solution to Exam 2 in Lecture 28.

Introduction to State Space Systems20:39
State Space and Transfer Function models43:07
Learn how to convert between transfer function and state space representations, build A, B, C, D models, and derive time responses from state space using initial conditions and unit steps.
Controllability and Observability (Notes only)0:03
Unfortunately the lecture had no sound. I could post it but I figured it would lead to frustration.
State Space Controller Design49:08
Explore state space controller design for engineers, placing closed-loop poles with Ackermann's formula using A and B matrices. Learn full-state feedback, controllability, and inverted pendulum example.
Exam 2 Solution and Observer Design47:12
Explore solving control system exam problems by placing closed-loop poles via a PD controller and designing a state observer to estimate unmeasured states.
More with Observer Design32:29
Learn full-order observer design for control engineers, compare to minimum-order observers, and apply Ackermans formula to place observer poles for fast state estimation using x_hat and y_hat.
Introduction to Digital Control (Notes Only)0:03
Understanding System Response with Digital Systems38:56
Designing Controllers with Digital Systems47:26
Design digital control by converting continuous models to discrete state-space and using Akre's formula. Examine deadly control and the speed-effort trade-off, plus bilinear transformation for frequency-domain mapping.
Optimal Control40:46
Review of Current Control techniques and research42:11

Requirements

In order to fully appreciate this class, you should have a background of dynamics and differential equations. But even with just some knowledge of physics you will do OK.

Description

This course covers everything an Introduction to Controls Course should cover and much more. I will clearly explain to you control systems from the most basic ideas to where we currently are in research. I cover a huge range of topics including: system response, root-locus, bode plots, nyquist, state-space, digital control, optimal control. I use MATLAB in the course to help you learn!

Who this course is for:

Engineering students or anyone interested in learning more about controls.

Introduction to Control Systems for Engineers

What you'll learn

Explore related topics

Course content

Introduction and Background Information4 lectures • 3hr 12min

Basic Concepts in Control Design5 lectures • 3hr 55min

Control Design via Root Locus (Contains Exam 1 and Solution)6 lectures • 4hr 5min

Using the Frequency Domain to Understand Response and Design Control Systems8 lectures • 5hr 1min

Modern Control Design with State-Space and Beyond11 lectures • 6hr 2min

Requirements

Description

Who this course is for: