Dynamic Systems and Control

  • Course level: All Levels


What is Dynamic Systems and Control?

This Dynamic Systems and Control 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 learning Dynamic Systems and Control:

  1. Laplace transforms
  2. Transfer functions
  3. Response equations
  4. Equations of motion of mechanical and electrical systems
  5. First-order response
  6. Second-order response
  7. State-space representation
  8. Block diagram reduction
  9. Stability and Routh’s Criterion
  10. Steady-state error analysis
  11. Root locus


Who should enroll?

This course is perfect for you if:

  1. you are a current student in a similar class and are needing additional examples/explanations
  2. you are studying for the Fundamentals of Engineering exam and need a review of system response and block diagrams
  3. you are just curious and want to learn something new

Who this course is for:

  1. Students taking a university-level System Dynamics and Controls course
  2. Graduates preparing for the Fundamentals of Engineering exam
  3. Anyone who wants to learn how to mathematically model a body’s motion

What Will I Learn?

  • Spring mass damper systems, steady state error, root locus
  • Laplace transforms, block diagrams, state space
  • First and second order time response plus more!

Topics for this course

55 Lessons

Dynamic Systems and Control

State Space Introduction00:00:00
How To Make a State Space Realization00:00:00
State Space Extra Topics00:00:00
Transfer Function Introduction00:00:00
Mass and Spring Example: What is X?00:00:00
Vibrating Hanging Mass Example – What is Y?00:00:00
Translating Mass, Spring, Damper Modeling00:00:00
Rotational Dynamic System Modeling Example00:00:00
RLC Circuit Review00:00:00
RLC Circuit Modeling00:00:00
DC Motor Modeling00:00:00
Modeling Fluid Flow Between Tanks00:00:00
Linearizing A Function Of One Variable00:00:00
Linearizing A Function Of Two Variables00:00:00
Linearization of Nonlinear Differential Equations00:00:00
Discontinuity Functions00:00:00
Complex Number Review00:00:00
Introduction To The Laplace Transform00:00:00
Laplace Transform Properties: Differentiation and Integration00:00:00
Laplace Transform Properties: Time Delay00:00:00
Laplace Transform Properties: Complex Shift00:00:00
Laplace Transform Properties: Multiplication By Time00:00:00
Inverse Laplace Transform And Partial Fraction Expansion00:00:00
Inverse Laplace Transform Examples And MuPAD00:00:00
Solving Differential Equations By Laplace Transforms00:00:00
Response of First Order Systems00:00:00
Classifying Second Order Systems00:00:00
Step Response Performance Specifications00:00:00
Step Response Performance Specifications Of Second Order Systems00:00:00
Steady State Response00:00:00
Block Diagram Reduction Introduction00:00:00
Block Diagram Reduction Example00:00:00
Step Disturbance Rejection And Tracking00:00:00
Sensitivity Analysis00:00:00
Introduction To Stability00:00:00
Stability Analysis using the Routh Array00:00:00
Stability Analysis Using the Routh Array: Special Cases00:00:00
Introduction to System Type00:00:00
Controller Design Using Error Constants00:00:00
Control Design Using System Type00:00:00
Introduction to PID Control00:00:00
Magnitude And Phase Of A Transfer Function00:00:00
Introduction to Root Locus00:00:00
Calculating K From The Root Locus00:00:00
Root Locus Sketching Rules00:00:00
Root Locus Sketch: Second Order Example00:00:00
Root Locus Sketch: Third Order Example00:00:00
Root Locus Gain Compensation00:00:00
Lead Lag Root Locus Introduction00:00:00
Root Locus Lead Compensation Example00:00:00
Bode Plot Introduction00:00:00
Bode Plot Sketching00:00:00
Bode Plot Analysis00:00:00
Bode Plot Gain Compensation00:00:00
Bode Plot Phase Lead Compensation00:00:00
Dynamic Systems and Control
40 £

Enrolment validity: Lifetime


  • Students must be knowledgeable in differential equations, matrices, and dynamics

Target Audience

  • Spring mass damper systems, steady state error, root locus
  • Laplace transforms, block diagrams, state space
  • First and second order time response plus more!