System Dynamics and Controls
What you'll learn
- Spring mass damper systems, steady state error, root locus
- Laplace transforms, block diagrams, state space
- First and second order time response plus more!
- Students must be knowledgeable in differential equations, matrices, and dynamics
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:
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
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.
Who should enroll?
This course is perfect for you if:
you are a current student in a similar class and are needing additional examples/explanations
you are studying for the Fundamentals of Engineering exam and need a review of system response and block diagrams
you are just curious and want to learn something new
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? Do I need a book?
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. We will work through many examples and I don't assume you know more than you do. We'll start with the basics and build on them. You'll also get 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 hour-long lecture videos? I didn't think so. To eliminate that frustration my lectures are broken up into shorter segments, typically 12-15 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.
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 in classes such as Mechanical Vibrations, Feedback Control Systems, and others. In addition, you'll gain a greater understanding of differential equations and how they are used to model system behavior. The state space info will be helpful in graduate-level topics such as Kalman filtering.
What are you waiting for? Enroll today!
Who this course is for:
- Students taking a university-level System Dynamics and Controls course
- Graduates preparing for the Fundamentals of Engineering exam
- Anyone who wants to learn how to mathematically model a body's motion
I graduated from Auburn University with a M.S. and PhD in Aerospace Engineering. After graduation I began worked as a Systems Engineer at Lockheed Martin. After working in industry for 8 years I decided to focus on teaching full time.
I have 18+ years of teaching experience and have helped 1000's of students transform from freshmen to successful engineers. Some of the courses I teach include: Statics, Dynamics, Thermodynamics, MATLAB, Numerical Analysis, Controls, Fluid Mechanics and Solid Mechanics. I have taught at Auburn University, University of North Texas and Texas Christian University.
I believe in teaching my courses in a way that I wanted to be taught when I was in school...plenty of examples, not a lot of theory. Many instructors don't understand the learning needs of their students. They give complicated lectures full of theory but then hardly ever work out examples. The examples they do work tend to be simple or the examples already presented in the course textbook.
This is why I recently founded STEM Course Prep. STEM Course Prep is meant to help struggling students succeed before they have to drop or fail a class.
My courses have plenty of detailed examples with only the theory and derivations you really need. My current Udemy course offerings are MATLAB Parts 1 and 2, Numerical Analysis, Thermodynamics, Statics, Dynamics Parts 1 and 2, Fluid Mechanics Parts 1, 2 and 3, Controls, Orbital Mechanics and more.
If you like my Udemy courses you'll love the courses on my website STEM Course Prep. My courses offered there feature additional content, homework, exams etc. There are also courses like Mechanics of Materials and Intermediate Dynamics that are not found on Udemy.
Thanks for your interest!