System Dynamics and Controls
All the Basics You Need to Know About Mathematical Modeling of Systems and Controls
Watch Promo
What is System Dynamics and Controls about?
This course provides a great introduction to controls and mathematical modeling of mechanical systems. What does that mean? Well, you will learn how to generate equations that can be used to model a body's motion.
Think of a pendulum swinging  after this course you will be able to model this type of motion using differential equations and matrices.
On top of that, you'll be able to analyze system stability, calculate how much error is present, use Laplace transforms to solve initial value problems and much, much more!
Here's some of what you will learn:
 Laplace transforms
 Transfer functions
 Response equations
 Equations of motion of mechanical and electrical systems
 First order response
 Second order response
 State space representation
 Block diagram reduction
 Stability and Routh's Criterion
 Steady state error analysis
 Root locus
Click here to see the full curriculum
And if that's not enough, for those wishing to use MATLAB, examples and applications are provided throughout the course. This helps gives more of a visual understanding of what's going on besides just looking at equations.
What's included in the course?
 18.5 hours of ondemand video lectures that explain concepts in a simple manner
 61 examples to improve your understanding and problem solving skills
 12 homework sets with solutions to practice the concepts
 MATLAB examples with downloadable files that you can run yourself
 Downloadable outline of notes to help you create a set of organized notes and to follow along with the material
 Downloadable equation sheet and Laplace transform table
 Certificate of Completion once you finish the course
 Email access to the instructor in case you have questions
 30day money back guarantee so there's no risk to try it out. Please see the Terms of Use here for more details.
Not ready to enroll yet?
Test out STEM Course Prep by enrolling in our FREE State Space course!
Who should enroll?
This course is perfect for you if:
 you're a current student in a similar class and are needing additional examples/explanations
 you're studying for the Fundamentals of Engineering exam and need a review of system response and block diagrams
 you're just curious and want to learn something new
Course Curriculum

Start1.1 Laplace Transforms and Example 1 (10:47)

Start1.2 Laplace Tables and Example 2 (10:58)

Start1.3 Shifting Property and Example 3 (5:38)

Start1.4 Differentiation Theorem of Laplace Transforms (5:36)

Start1.5 Example 4 and Integration Theorem of Laplace Transforms (7:45)

Start1.6 Example 5 (6:02)

Start1.7 Example 6 (5:19)

Start1.8 Example 7 (4:51)

Start1.9 Solving Linear Differential Equations (3:26)

Start1.10 Example 8 (8:02)

Start1.11 Example 9 (10:10)

Start1.12 Example 10 (11:49)

StartHomework 1

StartHomework 1 Solutions

StartMATLAB 1  residue function (14:42)

StartMATLAB 2  ilaplace function (9:07)

Start1.13 Mechanical Systems and Particles (7:49)

Start1.14 Rigid Bodies (7:09)

Start1.15 Example 11 (16:45)

Start1.16 Rigid Bodies Continued (4:47)

Start1.17 Example 12 (14:47)

Start1.18 Springs (5:57)

Start1.19 Friction Elements (10:36)

Start1.20 Mechanical Input and FBDs (5:30)

Start1.21 Example 13 (10:59)

Start1.22 Example 14 (4:54)

Start1.23 Example 15 (13:28)

Start1.24 Example 16 (11:32)

Start1.25 Example 17 (8:09)

Start1.26 Example18 (16:56)

Start1.27 Small Angle Approximation and Example 18.2 (4:27)

Start1.28 Example 19 (17:37)

Start1.29 Transfer Functions (10:26)

Start1.30 Example 20 (16:07)

Start1.31 Example 21 (14:14)

StartHomework 2

StartHomework 2 Solutions

Start1.32 Impedence Method (9:28)

Start1.33 Example 22 (12:28)

Start1.34 Example 23 (24:41)

Start1.35 Transfer Functions for Multiple Inputs and Outputs (15:50)

StartHomework 3

StartHomework 3 Solutions

Start2.1 State Space Representation (17:46)

Start2.2 Example 24 (10:34)

Start2.3 Example 25 (8:35)

Start2.4 Example 26 (11:18)

StartHomework 4

StartHomework 4 Solutions

StartMATLAB 3 State Space Numerical Integration (14:06)

StartMATLAB 4 Example 27 (8:12)

StartMATLAB 5 Example 26 (5:36)

Start2.5 Transfer Function to State Space (6:50)

Start2.6 Example 28 (7:48)

Start2.7 State Space to Transfer Function (7:30)

Start2.8 Example 29 (6:33)

StartHomework 5

StartHomework 5 Solutions
Your Instructor
Teaching is my passion. As a University professor I have taught 1000's of students and watched them transform from freshmen into successful engineers. Unlike many STEM professors, I believe in teaching complex material in simple, easytounderstand terms. I teach my courses in a way I wish I had been taught...no complicated theories and halfworked examples.
In addition to University experience, I also worked as an engineer for 8 years in industry at a wellknown defense company. This experience enables me to focus in on topics that are actually applicable in the real world, not just textbook problems.
Come learn with me!
Is any prior knowledge needed?
Yes! The typical math requirement for this course is Differential Equations and Linear Algebra. Dynamics...you need to know that too, as we will be modeling bodies in motion.
MATLAB is helpful but not required  I kept all the MATLAB examples separate for students not interested in that material.
What's the format of the course?
Let me just say that I hate engineering courses taught with PowerPoint slides. Due to this, you will not find slides here.
I think people learn better when they have to write the material. That means the majority of my lectures are handwritten. I give you a brief outline of notes to help you follow along and to help minimize the length of the videos.
Speaking of video length... am I the only one who doesn't like watching hourlong lecture videos? I didn't think so.
To eliminate that frustration my lectures are broken up into shorter segments, typically 1215 minutes.
And if you are here for examples, I made them easy to find. Almost all the examples are in their own videos, that way you can look through the notes and pick and choose which ones you want to watch.
Do I need a book?
Would it be helpful to have a book? Yeah probably. Is it absolutely necessary? Probably not. The benefit of having a book is having more examples and problems to work on your own.
The book I recommend and always use for this course is Control Systems Engineering by Nise. It gets good reviews from students and it provides a solid foundation for more advanced controls classes.
Will this prepare me for other classes?
Most definitely! The fundamental knowledge gained in this course will be useful for study in areas like:
 Mechanical Vibrations
 Feedback Control Systems
 Kalman filtering
What are you waiting for? Enroll today!
Disclosure: The textbook link is an affiliate link. What does that mean? It means, at no cost to you, I will receive a small commission if you click through the link and purchase the book. This text is widely used and I have used it for years. Whether you buy it through this link or not I highly recommend this text.