Dynamic Systems and Control

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About Course

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
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What Will You Learn?

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

Course Content

Dynamic Systems and Control

  • State Space Introduction
    00:00
  • How To Make a State Space Realization
    00:00
  • State Space Extra Topics
    00:00
  • Transfer Function Introduction
    00:00
  • Mass and Spring Example: What is X?
    00:00
  • Vibrating Hanging Mass Example – What is Y?
    00:00
  • Translating Mass, Spring, Damper Modeling
    00:00
  • Rotational Dynamic System Modeling Example
    00:00
  • RLC Circuit Review
    00:00
  • RLC Circuit Modeling
    00:00
  • DC Motor Modeling
    00:00
  • Modeling Fluid Flow Between Tanks
    00:00
  • Linearizing A Function Of One Variable
    00:00
  • Linearizing A Function Of Two Variables
    00:00
  • Linearization of Nonlinear Differential Equations
    00:00
  • Discontinuity Functions
    00:00
  • Complex Number Review
    00:00
  • Introduction To The Laplace Transform
    00:00
  • Laplace Transform Properties: Differentiation and Integration
    00:00
  • Laplace Transform Properties: Time Delay
    00:00
  • Laplace Transform Properties: Complex Shift
    00:00
  • Laplace Transform Properties: Multiplication By Time
    00:00
  • Inverse Laplace Transform And Partial Fraction Expansion
    00:00
  • Inverse Laplace Transform Examples And MuPAD
    00:00
  • Solving Differential Equations By Laplace Transforms
    00:00
  • Response of First Order Systems
    00:00
  • Classifying Second Order Systems
    00:00
  • Step Response Performance Specifications
    00:00
  • Step Response Performance Specifications Of Second Order Systems
    00:00
  • Steady State Response
    00:00
  • Block Diagram Reduction Introduction
    00:00
  • Block Diagram Reduction Example
    00:00
  • Step Disturbance Rejection And Tracking
    00:00
  • Sensitivity Analysis
    00:00
  • Introduction To Stability
    00:00
  • Stability Analysis using the Routh Array
    00:00
  • Stability Analysis Using the Routh Array: Special Cases
    00:00
  • Introduction to System Type
    00:00
  • Controller Design Using Error Constants
    00:00
  • Control Design Using System Type
    00:00
  • Introduction to PID Control
    00:00
  • Magnitude And Phase Of A Transfer Function
    00:00
  • Introduction to Root Locus
    00:00
  • Calculating K From The Root Locus
    00:00
  • Root Locus Sketching Rules
    00:00
  • Root Locus Sketch: Second Order Example
    00:00
  • Root Locus Sketch: Third Order Example
    00:00
  • Root Locus Gain Compensation
    00:00
  • Lead Lag Root Locus Introduction
    00:00
  • Root Locus Lead Compensation Example
    00:00
  • Bode Plot Introduction
    00:00
  • Bode Plot Sketching
    00:00
  • Bode Plot Analysis
    00:00
  • Bode Plot Gain Compensation
    00:00
  • Bode Plot Phase Lead Compensation
    00:00

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