University of Colorado Boulder - Modeling of Feedback Systems
- Offered byCoursera
Modeling of Feedback Systems at Coursera Overview
Duration | 14 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Official Website | Explore Free Course  |
Credential | Certificate |
Modeling of Feedback Systems at Coursera Highlights
- Earn a certificate of completion
- Add to your LinkedIn profile
- 6 quizzes, 5 assignments
Modeling of Feedback Systems at Coursera Course details
- What you'll learn
- Derive differential equations and transfer functions for simple mechanical, electrical, and electromechanical systems.
- Analyze the dynamic response of 1st and 2nd order systems.
- Explain the relationship between pole locations of 2nd-order systems and common step response performance specifications.
- Characterize Bounded-Input Bounded-Output (BIBO) stability and determine the number of unstable roots using Routh’s stability criterion.
- In this course, you'll explore modeling of dynamic systems and feedback control
- The course begins with an introduction of control theory and the application of Laplace transforms in solving differential equations, providing a strong foundation in linearity, time-invariance, and dynamic system modeling
- The following week will delve into the laws governing the modeling of dynamic systems, with a focus on deriving differential equations from fundamental principles like Newton's laws and Kirchhoff's laws, as well as mastering the representation of systems as transfer functions in the Laplace domain
- The third week delves deeper into Laplace transforms, emphasizing initial/final value theorems, block diagram manipulation, and dynamic response analysis
- Moving into the fourth week, you'll learn to analyze system performance using transient step response specifications, enabling you to assess and optimize system behavior effectively
- Finally, in the fifth week, you'll explore Bounded-Input Bounded-Output (BIBO) stability and Routh's stability criterion, gaining the skills to assess, analyze, and design stable systems
- By the course's end, you'll be well-equipped to navigate the intricacies of control systems and dynamic modeling
Modeling of Feedback Systems at Coursera Curriculum
Introduction to Control Systems and Laplace Transforms
Meet Your Instructor!
Course Introduction
Week 1 Introduction
Introduction to Control Systems
Introduction to Modeling
Why Use Feedback?
Laplace Transform Review
Laplace Transform Properties
Inverse Laplace Transforms
Magnitude and phase of F(s)
Differential Equation with Non-Zero I.C.s
Week 1 Assessment
Modeling of Physical Systems
Week 2 Introduction
Modeling Mechanical Systems
Cart Motion Example
Pendulum Model and Linearization
Modeling Electrical Systems
Lead Network Example
Op-Amp Example
Modeling Electromechanical Systems
DC Motor Model
Modeling Summary
Week 2 Assessment
Block Diagram Analysis and Dynamic Response
Week 3 Introduction
Laplace Transform Initial and Final Value Theorems
Block Diagram Analysis
Introduction to Dynamic Response
Impulse Responses of First-Order Systems
Impulse Responses of Second-Order Systems
Step Responses of First-Order Systems
Step Responses of Second-Order Systems
Summary of Dynamic Responses
Block Diagram Analysis
Week 3 Assessment
Transient Step Response Specifications
Week 4 Introduction
Transient Step Response Performance Specifications
Rise Time and Settling Time Specifications and Desired Pole Locations
Peak Time and Overshoot Specifications and Desired Pole Locations
Transient Response Specifications and Analysis Versus Design
Introduction to Effects of Zeros and Additional Poles
DC Gain of a System
Effects of Zeros: Trends
Effects of Zeros: Analytical Explanation, and Non-Minimum Phase Zeros
Effects of Additional Poles
Near Pole-Zero Cancellations
Summary of Effects of Additional Zeros and Poles
5% Settling Time
Week 4 Assessment
Modeling From Transient Response Data and Stability
Week 5 Introduction
Modeling from Transient Step Response Data
Example and Introduction to Proportional Control
Bounded-Input Bounded-Output (BIBO) Stability – Sufficient Condition
BIBO Stability – Necessary and Sufficient Condition
BIBO Stability – Frequency Domain Condition
Routh’s Stability Criterion – Necessary Condition
Routh’s Stability Criterion – Necessary and Sufficient Condition
Routh’s Stability Criterion – Example
Routh’s Stability Criterion – Overview of Special Cases
Review of Matrix Determinants
Routh's Stability Criterion Proportional Control
Week 5 Assessment
Modeling of Feedback Systems at Coursera Admission Process
Important Dates
Other courses offered by Coursera
Student Forum
Anything you would want to ask experts?